CONTENTS Chapter 1 Test Form A Test Form A Answer Key Test Form B Test Form B Answer Key Chapter 2 Test Form A Test Form A Answer Key Test Form B Test Form B Answer Key Chapter 3 Test Form A Test Form A Answer Key Test Form B Test Form B Answer Key Chapter 4 Test Form A Test Form A Answer Key Test Form B Test Form B Answer Key Chapter 5 Test Form A Test Form A Answer Key Test Form B Test Form B Answer Key Chapter 6 Test Form A Test Form A Answer Key Test Form B Test Form B Answer Key Chapter 7 Test Form A Test Form A Answer Key Test Form B Test Form B Answer Key
Chapter 8 Test Form A Test Form A Answer Key Test Form B Test Form B Answer Key Chapter 9 Test Form A Test Form A Answer Key Test Form B Test Form B Answer Key Chapter 10 Test Form A Test Form A Answer Key Test Form B Test Form B Answer Key Chapter 11 Test Form A Test Form A Answer Key Test Form B Test Form B Answer Key Chapter 12 Test Form A Test Form A Answer Key Test Form B Test Form B Answer Key Chapter 13 Test Form A Test Form A Answer Key Test Form B Test Form B Answer Key Chapter 14 Test Form A Test Form A Answer Key Test Form B Test Form B Answer Key Chapter 15 Test Form A Test Form A Answer Key Test Form B Test Form B Answer Key
CHAPTER 1 FORM A TEST Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Answer true or false. 1) The information we gather with experiments and with surveys is collectively called data. A) True B) False
1)
Provide an appropriate response. 2) A survey of 1500 American households found that 33% of the respondents own a computer. Is this value a parameter or a statistic? B) statistic A) parameter
2)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Fill in the blank. 3) The three main aspects of statistics are , and
,
3)
.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Answer true or false. 4) A large company would like to know what percentage of it's employees would utilize an on-site daycare facility. Rather than asking it's 5000 employees, each employee is assigned a number from 1 to 5000 and then a computer program is used to randomly select 100 numbers between 1 and 5000. These employees are then contacted and asked whether they would use an on-site daycare facility. The method used to collect the sample of 100 responses produces a random sample. A) True B) False
4)
5) Based on 12,000 responses from 55,000 questionnaires sent to its alumni, a major university estimated that the annual salary of its alumni was $98,500 per year. This sample was collected using random sampling. A) False B) True
5)
6) Inferential statistics are used when data are available only for a sample; however, descriptive statistics are used when data are available for either a sample or a population. A) False B) True
6)
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SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 7) Drug X, a drug that claims to treat male pattern scalp hair loss, was administered for 12 months to over 1800 men aged 18 to 41 with mild to moderate amounts of ongoing hair loss. Whether they were receiving drug X or a placebo (a pill containing no medication), all men were given a medicated shampoo. In general, men who took drug X maintained or increased the number of visible scalp hairs; while scalp hair counts in men who took the placebo continued to decrease. This concluded that drug X is effective in maintaining or increasing the amount of scalp hair in men. Which statement of this example can be referred to as descriptive statistics? 8) A recent poll asked 1,245 registered voters nationwide, "Which party do you think can do a better job of handling immigration issues?" 31% of the respondents answered "Republicans." With a margin of error of ±3%, it is estimated that between 28 and 34 percent of registered voters nationwide feel that the Republican party can do a better job of handling immigration issues. Identify which part of this example is inferential.
7)
8)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Select the most appropriate answer. 9) A study attempted to estimate the proportion of Florida residents who were willing to spend more tax dollars on protecting the Florida beaches from environmental disasters. Twenty-four hundred Florida residents were surveyed. Which of the following is the population of interest in the study? A) all Florida residents who were willing to spend more tax dollars on protecting the beaches from environmental disasters. B) all Florida residents C) all Florida residents who lived along the beaches D) the 2400 Florida residents surveyed E) all residents of the United States 10) A short application program for performing a specific task is called a/an A) sampling. B) time series. C) parameter. D) applet. E) None of these. Answer true or false. 11) In a recent television survey, participants were asked to answer "yes" or "no" to the question "Are you in favor of the death penalty?". Six thousand five hundred responded "yes" while 3700 responded "no". There was a fifty-cent charge for the call. The sampling technique used produces a random sample. A) True B) False
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9)
10)
11)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Fill in the blank. 12) The ____________________ is the set of all subjects of interest; while the ____________________ is a subset of the entire set of interest. Provide an appropriate response. 13) A radio show host asks listeners whether they believe that human activity is altering the global climate. Of those calling in, only 20% responded by saying yes. Is it safe to infer that only 20% of the general population believes that human activity is altering the global climate?
12)
13)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine whether the summary measure is better described as a parameter or a statistic. 14) The average age of 25 congressional members who were selected at random from all U.S. Congressmen A) Parameter B) Statistic Select the most appropriate answer. 15) The estimation of the population average age of registered voters in the state of Ohio based on the sample average age of 1,000 registered voters in that state and its corresponding margin of error is an example of A) a statistic. B) deductive statistics. C) a parameter. D) inferential statistics. E) descriptive statistics. 16) The following statement refers to which aspect of a statistical study: "A meteorologist constructs a graph showing the total precipitation in Phoenix, Arizona in each of the months of a given year"? A) Design B) Description C) Inference Answer true or false. 17) Parameter values are usually known. A) True
14)
15)
16)
17) B) False
Provide an appropriate response. 18) Using an computer to mimic what would actually happen if you selected a sample and used statistics in real life is called A) time series B) database C) simulation D) random sampling E) mini-tab Answer true or false. 19) Random sampling enables the sample to be a good reflection of the population. A) True B) False Copyright © 2017 Pearson Education, Inc. 3
18)
19)
Determine whether the summary measure is better described as a parameter or a statistic. 20) The average height of horse jockeys B) Statistic A) Parameter
20)
The owners of a coffee shop conducted a taste test to determine whether its customers preferred a new coffee brand to the current one sold by the shop. Customers who were willing to participate were given small samples of each of the two brands in random order and were asked to select which one they preferred without knowing the brand. Of the 100 participating customers, 90% chose the new brand. Based on these results, the owners determined that a majority of their customers preferred the new brand and therefore switched their coffee supplier. 21) Randomizing the order in which the samples of each brand were given to each 21) customer refers to which aspect of statistics? A) Description B) Investigation C) Design D) Inference E) None of these Select the most appropriate answer. 22) The following statement refers to which aspect of a statistical study: "The average age of the students in a statistics class is 25 years"? A) Description B) Inference C) Design
22)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Fill in the blank. 23) _____________________ is the art and science of learning from data.
23)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Select the most appropriate answer. 24) Making decisions and predictions based on the data refers to which aspect of statistics? A) Design B) Description C) Sampling D) Inference E) None of these Answer true or false. 25) To estimate the percentage of defective items a machine is producing, a quality control analyst inspects the first 100 items produced in a day. This technique produces a random sample. A) True B) False
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24)
25)
Answer Key Testname: CHAPTER 1 FORM A TEST
1) A 2) B 3) design, description, inference 4) A 5) A 6) B 7) Scalp hair counts in the men who took drug X maintained or increased; scalp hair counts in the men who took the placebo decreased 8) It is estimated that between 28 and 34 percent of registered voters nationwide feel that the Republican party can do a better job of handling immigration issues. 9) B 10) D 11) B 12) population; sample 13) No. Those who respond to this question are unlikely to be representative of the general population for two reasons. First, listeners to the show are unlikely to be representative of the general population, as they are likely to share the views of the radio show host, and may not represent a wide spectrum of views. Second, those listeners who respond voluntarily to the question are likely to be those who feel the most strongly about the issue. Their views are unlikely to be representative of all listeners to the show let alone of the general population. 14) B 15) D 16) B 17) B 18) C 19) A 20) A 21) C 22) A 23) Statistics 24) D 25) B
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CHAPTER 1 FORM B TEST Name___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 1) A radio show host asks listeners whether they believe that human activity is altering the global climate. Of those calling in, only 20% responded by saying yes. Is it safe to infer that only 20% of the general population believes that human activity is altering the global climate?
1)
2) Define the terms population and sample.
2)
3) Last year, 25% of students at a certain college smoked regularly. A researcher wants to determine whether an anti-smoking campaign was effective in reducing smoking at the college. If the proportion of students smoking regularly were still 25%, would it be surprising to find that only 15% of students smoked in a sample of size 20? in a sample of size 200? In either case would it be reasonable to assume that there had been a decrease in the proportion of students smoking regularly?
3)
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 4) In a survey of students at a certain college, 677 students were asked whether they believed in life after death and whether they believed in reincarnation. The results are summarized in the table below.
4)
Frequency Distribution Reincarnation Life After Death (Column Percent, (Column Percent, Response Number of cases) Number of cases) Yes, Definitely 9.5%, 64 37.7%, 255 Yes, Probably 19.9%, 135 31.0%, 210 No, Probably Not 43.0%, 291 19.2%, 130 No, Definitely Not 27.6%, 187 12.1%, 82 Column Total 100.0%, 677 100.0%, 677 How does the percentage of "yes, definitely" responses for life after death compare with the percentage of "yes, definitely" responses for reincarnation? A) The percentage who responded "yes, definitely" when asked whether they believed in life after death (37.7%) was slightly higher than the percentage who responded "yes, definitely" when asked whether the believed in reincarnation (31.0%). B) The percentage who responded "yes, definitely" when asked whether they believed in life after death (37.7%) was roughly four times the percentage who responded "yes, definitely" when asked whether the believed in reincarnation (9.5%). C) The percentage who responded "yes, definitely" when asked whether they believed in life after death (19.9%) was roughly twice the percentage who responded "yes, definitely" when asked whether the believed in reincarnation (9.5%). D) The percentage who responded "yes, definitely" when asked whether they believed in life after death (255%) was roughly four times the percentage who responded "yes, definitely" when asked whether the believed in reincarnation (64%). SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 5) What is statistics?
5)
6) A recent poll asked 1,245 registered voters nationwide, ʺWhich party do you think can do a better job of handling immigration issues?ʺ 31% of the respondents answered ʺRepublicans.ʺ With a margin of error of ±3%, it is estimated that between 28 and 34 percent of registered voters nationwide feel that the Republican party can do a better job of handling immigration issues. Identify which part of this example is inferential.
6)
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Select the most appropriate answer. 7) A study attempted to estimate the proportion of Florida residents who were willing to spend more tax dollars on protecting the Florida beaches from environmental disasters. Twenty-four hundred Florida residents were surveyed. Which of the following is the population of interest in the study? A) all residents of the United States B) all Florida residents who were willing to spend more tax dollars on protecting the beaches from environmental disasters. C) the 2400 Florida residents surveyed D) all Florida residents who lived along the beaches E) all Florida residents Provide an appropriate response. 8) The average salary of all automotive workers is $42,000. Is this value a parameter or a statistic? A) statistic B) parameter Select the most appropriate answer. 9) In a survey, 71% of 1052 adults polled answered "Yes" to the question "Do you believe the theory that increased carbon dioxide and other gases released into the atmosphere will, if unchecked, lead to global warming and an increase in average temperatures?" The 71% responding "Yes" to the question is an example of A) a statistic B) a parameter C) the sample D) the population E) random sampling
7)
8)
9)
10) In a survey, 71% of 1052 adults polled answered "Yes" to the question "Do you believe the theory that increased carbon dioxide and other gases released into the atmosphere will, if unchecked, lead to global warming and an increase in average temperatures?" The sample consists of A) all American adults B) the proportion of adults polled who responded "Yes" to the question C) the proportion of American adults who are predicted to respond "Yes" to the question D) the 1052 polled adults E) 71% of American adults
10)
11) Making decisions and predictions based on the data refers to which aspect of statistics? A) Design B) Sampling C) None of these D) Inference E) Description
11)
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12) The following statement refers to which aspect of a statistical study: "From past figures, it is predicted that 47% of the registered voters in Virginia will vote in the June primaryʺ.? A) Design B) Description C) Inference
12)
13) In a survey, 71% of 1052 adults polled nationwide answered "Yes" to the question "Do you believe the theory that increased carbon dioxide and other gases released into the atmosphere will, if unchecked, lead to global warming and an increase in average temperatures?" The predicted proportion of all American adults who would respond "Yes" to the question is an example of A) a parameter B) the population C) random sampling D) the sample E) a statistic
13)
14) A survey asks "would you like to see more or less government spending on natural disasters?" Of the 1496 respondents, 723 responded "more" or "much more". The population of interest consists of A) the 723 respondents who responded "more" or "much more" B) the proportion of respondents who responded "more" or "much more" C) the proportion of American adults who would respond "more" or "much more" D) all American adults E) the 1496 respondents
14)
15) The following statement refers to which aspect of a statistical study: "Based on previous clients, a marriage counselor concludes that the majority of marriages that begin with cohabitation before marriage will result in divorce"? A) Description B) Design C) Inference
15)
16) A manufacturer of cellular phones has decided that an assembly line is operating satisfactorily if less than 6% of the phones manufactured per day are defective. To check the quality of a day's production, the company decides to randomly sample 30 phones from a day's production and test for defects. Define the population of interest to the manufacturer. A) all defective cellular phones manufactured by the company B) the 6% of the cellular phones that were defective C) the 30 cellular phones that were sampled and tested D) all cellular phones manufactured during the day in question E) the 30 responses: defective or not defective
16)
17) The following statement refers to which aspect of a statistical study: "Based on a study of 25 hospitals nationwide, researchers have concluded that there is a relationship between smoking cigarettes and contracting emphysema"? A) Description B) Inference C) Design
17)
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SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Fill in the blank. 18) A ____________________ is a numerical summary of the population; while a ____________________ is a numerical summary of the sample.
18)
19) The basis of ____________________ is that each subject in the population has the same chance of being in the sample.
19)
20) _____________________ is the art and science of learning from data.
20)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Answer true or false. 21) A lobbyist for a major airspace firm assigns a number to each legislator and then uses a computer to randomly generate ten numbers. The lobbyist contacts the legislators corresponding to these numbers. This technique produces a random sample. A) True B) False
21)
22) Inferential statistics are used when data are available only for a sample; however, descriptive statistics are used when data are available for either a sample or a population. A) True B) False
22)
23) A lobbyist for a major airspace firm wants to get the opinion of state legislators on an issue of importance to his industry. The lobbyist contacts 10 state legislators at a restaurant during a lunch break and each one is polled about the issue. This technique produces a random sample. A) False B) True
23)
24) In a recent television survey, participants were asked to answer ʺyesʺ or ʺnoʺ to the question ʺAre you in favor of the death penalty?ʺ. Six thousand five hundred responded ʺyesʺ while 3700 responded ʺnoʺ. There was a fifty-cent charge for the call. The sampling technique used produces a random sample. A) True B) False
24)
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The owners of a coffee shop conducted a taste test to determine whether its customers preferred a new coffee brand to the current one sold by the shop. Customers who were willing to participate were given small samples of each of the two brands in random order and were asked to select which one they preferred without knowing the brand. Of the 100 participating customers, 90% chose the new brand. Based on these results, the owners determined that a majority of their customers preferred the new brand and therefore switched their coffee supplier. 25) Predicting the preference of all of the coffee shop customers based on the taste test 25) results refers to which aspect of statistics? A) Design B) Description C) Investigation D) Inference E) None of these
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Answer Key Testname: CHAPTER 1 FORM B TEST
1) No. Those who respond to this question are unlikely to be representative of the general population for two reasons. First, listeners to the show are unlikely to be representative of the general population, as they are likely to share the views of the radio show host, and may not represent a wide spectrum of views. Second, those listeners who respond voluntarily to the question are likely to be those who feel the most strongly about the issue. Their views are unlikely to be representative of all listeners to the show let alone of the general population. 2) The population is the total set of subjects in which we are interested. A sample is the subset of the population for whom we have data. 3) No, it would not be surprising to find that only 15% of students smoked in a sample of size 20. When the sample size is small, there is a lot of variability in the sample proportions and a sample proportion can easily lie far from the population proportion. In this case, it would not be reasonable to assume that there had been a decrease in the proportion of students smoking regularly. Yes, it would be surprising to find that only 15% of students smoked in a sample of size 200. When the sample size is large, the sample proportions tend to lie closer to the population proportion. If the proportion of students smoking regularly were still 25%, it would be surprising to find that only 15% of students smoked in a sample of size 200. In this case, it would be reasonable to assume that there had been a decrease in the proportion of students smoking regularly. 4) B 5) Statistics is the art and science of learning from data. 6) It is estimated that between 28 and 34 percent of registered voters nationwide feel that the Republican party can do a better job of handling immigration issues. 7) E 8) B 9) A 10) A 11) D 12) C 13) A 14) D 15) C 16) D 17) B 18) parameter; statistic 19) random sampling 20) Statistics 21) A 22) A 23) A 24) B 25) D
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CHAPTER 2 FORM A TEST Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. The heights (in inches) of 30 adult males are listed below. A frequency distribution show the frequency and relative frequency using five classes. 70 72 71 70 69 73 69 68 70 71 67 71 70 74 69 68 71 71 71 72 69 71 68 67 73 74 70 71 69 68 Height (in inches) 67.0-68.4 68.5-69.9 70.0-71.4 71.5-72.9 73.0-74.4
Frequency 6 5 13 2 4
Relative Frequency 0.20 0.167 0.433 0.067 0.133
1) Which category of heights represents the mode? A) 67.0-68.4 B) 68.5-69.9 C) 71.5-72.9 D) 70.0-71.4 E) 73.0-74.4
1)
2) What proportion of the 30 adult males had heights less than 70 inches? A) 16.7% B) 36.7 C) 0.367 D) 0.167
2) E) 0.433
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 3) A recent survey investigated exposure to tobacco and alcohol use in a series of G-rated animated films. Data on the total tobacco exposure time (in seconds) is below. 223 165
176 74
548 9
37 2
158 6
51 23
299 206
37 9
Find the Five-Number Summary of Positions.
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11
3)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 4) Test scores for a history class had a mean of 79 with a standard deviation of 4.5. Test scores for a physics class had a mean of 69 with a standard deviation of 3.7. Suppose a student gets a 68 on the history test and a 87 on the physics test. Calculate the z-score for each test. On which test did the student perform better? A) physics; -2.44 B) history; 4.86 C) physics; 4.86 D) history; 2.44 E) history; -2.44
4)
5) Parking at a large university has become a major issue. University administrators would like to determine the average time it takes a student to find a parking spot in a university lot. Students who are willing to participate in the study were asked to record the time between entering campus and pulling into a parking spot. Which of the following would not be appropriate for displaying the parking time data? A) Pie chart B) Stem-and-leaf plot C) Box plot D) Histogram E) None of these should be used.
5)
6) A competency test has scores with a mean of 69 and a standard deviation of 4. A histogram of the data shows that the distribution is normal. Use the Empirical Rule to find the percentage of scores between 61 and 77. A) 68% B) 77% C) 50% D) 95% E) 99.7%
6)
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7) Twenty-four workers were surveyed and asked how long it takes them to travel to work each day. The data below are given in minutes. 20 35 42 52 65 20 60 49 24 37 23 24 22 20 41 25 28 27 50 47 58 30 32 48 Which of the following shows the data in a stem-and-leaf plot? A) 2 0002344578 3 0257 4 12789 5 028 6 05 B) 2 0002344578 3 0257 4 12789 5 028 6 0 C) 2 002344578 3 0257 4 12789 5 028 6 05 D) 2 00002344578 3 0257 4 12789 5 028 6 05 E) 2 000234457 3 02578 4 12789 5 028 6 05
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7)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 8) The following frequency histogram provides average SO 2 (sulfur dioxide) emission rates from utility and industrial boilers (lb/million Btu) for 47 states (data for Idaho, Alaska, and Hawaii omitted).
8)
a. Identify the intervals of emission rates used for the plot. b. Describe the shape of the distribution. c. What information can you get from the dot plot or stem-and-leaf plot of these data that you cannot get from this plot? d. This histogram shows frequencies. If you were to construct a histogram using the percentages for each interval, how (if at all) would the shape of this histogram change? 9) The table below summarizes total enrollment and female enrollment at a pilot training college for the years 2005 through 2012. The table has been used to construct two different graphs displayed below the table. Summarize the information that is available from each of the graphs and discuss the advantages and disadvantages of each graph. Enrollment at Pilot Training College
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9)
Year Total Number Number of of Students Female Students 2005 283 20 2006 275 22 2007 265 22 2008 258 24 2009 252 25 2010 248 25 2011 245 27 2012 242 28 Enrollment at Pilot Training College 300
Number of Students
250 200 150 100 50
1
2 3 4 5 6 Years Since 2004
7
8
- - - - Total enrollment Female enrollment
Female Enrollment at Pilot Training College
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Number of Female Students
40 32 24 16 8
1
2
3 4 5 6 Years Since 2004
7
8
10) A sample of 324 randomly selected doctors was asked to indicate the category that best described how often they used the Internet. The results follow.
10)
Internet Usage Pattern Count Never 31 Rarely (about 3 times per year) 15 Occasionally (about once a month) 52 Often (about once a week) 109 Daily 117 a. Construct a pie chart for these data. b. In creating a bar graph of these data, would it be more useful to list the patterns as given in the table above or in the order of a Pareto chart? MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 11) Brandon kept track of the number of hours he spent exercising each week for four months. The results are shown below. Find the mean number of hours Brandon spent exercising per week. Round your answer to two decimal places. 7.50 8.20 7.10 7.90 8.00 7.50 7.80 7.10 7.30 7.50 7.90 8.90 7.10 8.20 8.20 8.20 8.00 7.80 A) 8.01
B) 7.30
C) 8.25
D) 7.79
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E) 7.38
11)
12) Each year advertisers spend billions of dollars purchasing commercial time on network sports television. A recent article listed the top 10 leading spenders (in millions of dollars) over a 6 month period: Company A Company B Company C Company D Company E
$72.0 63.1 54.7 54.3 29.0
Company F Company G Company H Company I Company J
12)
$26.9 25.0 23.9 23.0 20.0
Which of the following graphs would not be appropriate for displaying this data? A) Stem-and-leaf plot B) Histogram C) Pie chart D) Dot plot E) None of these should be used. A graphical display of a data set is given. Identify the overall shape of the distribution. 13) The ages of a group of patients being treated at one hospital for osteoporosis are summarized in the frequency histogram below.
Which of the following best describes the shape of the distribution? A) Skewed to the right B) Skewed to the left C) Symmetric D) Multimodal E) Bimodal
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13)
Provide an appropriate response. 14) A safety engineer wishes to use the following data to show the number of deaths in a year from the collision of passenger cars with trucks on a particular highway. Year 1 2 3 4 5 6 7 8
14)
Number of Deaths 12 17 22 21 16 13 11 12
What is the mode of the number of deaths? A) 22 B) 12 C) 15.5
D) 16
E) 13
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 15) The table below shows the unemployment rate in one city from 2003 to 2012.
15)
Year 2003 2004 2005 2006 2007 2008 2009 2010 2 Unemployment Rate (Percent) 5.90 5.78 5.45 5.28 5.06 4.88 4.80 4.63 4 a. Construct a time plot for these data. b. Is there a trend? If so, what kind? c. Would a histogram more clearly describe the above dataset? Explain. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 16) Use the following summary information for a data set of 100 observations to determine whether the data set is likely to be bell-shaped, skewed to the right or skewed to the left. Mean = 120, s=22, Minimum=103, Maximum=170 A) skewed to the left B) bell-shaped C) skewed to the right D) unable to determine from the information given
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16)
17) The following is a time plot of wine exports (in millions of gallons) in a certain country for the past 15 years. Is there a trend evident in the data?
17)
A) yes, increasing trend B) no trend evident C) yes, decreasing trend A sample of fifty motorists was taken on a Federal highway where the speed limit was 60 miles per hour. A dot plot of their speeds is shown below.
18) What is the mode for speed? A) 70 B) 60 C) 7 D) 55 E) none of these
18)
19) What proportion of the motorists were speeding? A) 2 B) 0.22 C) 0.72
19) D) 0.04
E) 0.18
Answer true or false. 20) Bar graphs and pie charts are graphical methods that are often used in summarizing quantitative data. A) True B) False
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20)
Select the most appropriate answer. 21) Which of the following is a discrete variable? A) time it takes to drive to work B) weight of a newborn baby C) none of these D) number of phones per household E) amount of coffee in an 8-ounce cup
21)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Fill in the blank. 22) A variable is called ____________________ if each observation belongs to one of a set of categories. 23) The ____________________ is the balance point of the data values; while, the _____________________ is the midpoint of the ordered data values.
22)
23)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. A sporting goods retailer conducted a customer survey to determine its customers primary reason for shopping at their store. The results are shown in the graph below.
24) Is the variable "reason for shopping at our store" categorical or quantitative? A) Categorical B) Quantitative
24)
The following data show the number of laps run by each participant in a timed running race: 46 65 55 43 51 48 57 30 43 49 32 56 25) If the stems are 3, 4, 5 and 6, how many leaves are on the "4 stem"? A) 4 B) 5 C) 1 D) 0
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25)
Answer Key Testname: CHAPTER 2 FORM A TEST
1) D 2) C 3) minimum = 2 seconds, Q1 = 10 seconds, median = 51 seconds, Q3 = 191 seconds, and maximum = 548 seconds 4) C 5) A 6) D 7) A 8) a. 0 to 0.49, 0.5 to 0.99, 1.0 to 1.49, 1.5 to 1.99, 2.0 to 2.49, 2.5 to 2.99, 3.0 to 3.49, 3.5 to 3.99, 4.0 to 4.49, 4.5 to 4.99; b. The distribution is skewed to the right. c. You can get the actual data values from a dot plot or stem-and-leaf plot. d. The shape would not change. 9) The first graph shows the total numbers of students for each year as well as the number of female students. We can see the downward trend in overall enrollment, the slight upward trend in female enrollment and that female enrollment is small relative to total enrollment. However, with both total and female enrollment on the same graph, since female enrollment is small relative to total enrollment, the scale is not suitable for female enrollment and the upward trend in female enrollment is not very clear. This upward trend is much clearer from the second graph which shows female enrollment alone, However this graph gives no indication of how female enrollment compares to total enrollment. 10) a.
b.
Since the categories of Internet usage pattern have a natural order from never to daily, it makes more sense to leave the categories in this natural order rather than ordering them from the tallest bar to the shortest bar.
11) D 12) C 13) B 14) B
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Answer Key Testname: CHAPTER 2 FORM A TEST
15) a.
Unemployment Rate 2003-2012
Unemployment Rate (Percent)
2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 Year b. There is a clear decreasing trend over time; c. No, a histogram would not depict the trend in this dataset. 16) C 17) A 18) D 19) E 20) B 21) D 22) categorical 23) mean; median 24) A 25) B
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CHAPTER 2 FORM B TEST Name___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 1) The following frequency histogram provides average SO 2 (sulfur dioxide) emission rates from utility and industrial boilers (lb/million Btu) for 47 states (data for Idaho, Alaska, and Hawaii omitted).
a. Identify the intervals of emission rates used for the plot. b. Describe the shape of the distribution. c. What information can you get from the dot plot or stem-and-leaf plot of these data that you cannot get from this plot? d. This histogram shows frequencies. If you were to construct a histogram using the percentages for each interval, how (if at all) would the shape of this histogram change?
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1)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 2) Parking at a large university has become a major issue. University administrators would like to determine the average time it takes a student to find a parking spot in a university lot. Students who are willing to participate in the study were asked to record the time between entering campus and pulling into a parking spot. Which of the following would not be appropriate for displaying the parking time data? A) Stem-and-leaf plot B) Histogram C) None of these should be used. D) Box plot E) Pie chart
2)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 3) A sample of 324 randomly selected doctors was asked to indicate the category that best described how often they used the Internet. The results follow.
3)
Internet Usage Pattern Count Never 31 Rarely (about 3 times per year) 15 Occasionally (about once a month) 52 Often (about once a week) 109 Daily 117 a. Construct a pie chart for these data. b. In creating a bar graph of these data, would it be more useful to list the patterns as given in the table above or in the order of a Pareto chart? 4) The table below shows the unemployment rate in one city from 2003 to 2012. Year 2003 2004 2005 2006 2007 2008 2009 2010 2 Unemployment Rate (Percent) 5.90 5.78 5.45 5.28 5.06 4.88 4.80 4.63 4 a. Construct a time plot for these data. b. Is there a trend? If so, what kind? c. Would a histogram more clearly describe the above dataset? Explain.
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4)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 5) Use the following summary information for a data set of 100 observations to 5) determine whether the data set is likely to be bell - shaped, skewed to th right or skewed to the left. Mean = 120, s=22, Minimum=37, Maximum=136 A) bell-shaped B) skewed to the left C) skewed to the right D) unable to determine from the information given 6) Brandon kept track of the number of hours he spent exercising each week for four months. The results are shown below. Find the mean number of hours Brandon spent exercising per week. Round your answer to two decimal places.
6)
7.50 8.20 7.10 7.90 8.00 7.50 7.80 7.10 7.30 7.50 7.90 8.90 7.10 8.20 8.20 8.20 8.00 7.80 A) 7.38
B) 8.01
C) 7.30
D) 7.79
E) 8.25
7) Use the following summary information for a data set of 100 observations to determine whether the data set is likely to be bell-shaped, skewed to the right or skewed to the left. Mean = 120, s=22, Minimum=103, Maximum=170 A) skewed to the right B) bell-shaped C) unable to determine from the information given D) skewed to the left
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7)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 8) The following data represent the number of grams of fat in various breakfast foods.
8)
Breakfast Food Fat (in grams) Muffin and egg sandwich 12 Muffin, egg, and ham sandwich 22 Muffin, egg, and bacon sandwich 27 Muffin and sausage sandwich 22 Bagel, egg, and ham sandwich 25 Bagel, egg, and bacon sandwich 30 Bagel, egg, and sausage sandwich 32 Bagel, egg, sausage, and cheese sandwich 37 Bagel, egg, ham, and cheese sandwich 27 Bagel, egg, bacon, and cheese sandwich 31 Bagel 11 Pancakes platter 16 Pancakes and eggs platter 21 Pancakes, eggs, and bacon platter 32 Yogurt 2 Construct a dot plot for these data. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 9) SAT verbal scores are normally distributed with a mean of 433 and a standard deviation of 90. Use the Empirical Rule to determine what percent of the scores lie between 433 and 523. A) 47.5% B) 68% C) 51% D) 49.9% E) 34%
9)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 10) The table below summarizes total enrollment and female enrollment at a pilot training college for the years 2005 through 2012. The table has been used to construct two different graphs displayed below the table. Summarize the information that is available from each of the graphs and discuss the advantages and disadvantages of each graph. Enrollment at Pilot Training College Year Total Number Number of of Students Female Students 2005 283 20 2006 275 22 2007 265 22 2008 258 24 2009 252 25 2010 248 25 2011 245 27 2012 242 28 Copyright © 2017 Pearson Education, Inc. 4
10)
Enrollment at Pilot Training College 300
Number of Students
250 200 150 100 50
1
2 3 4 5 6 Years Since 2004
7
8
- - - - Total enrollment Female enrollment
Female Enrollment at Pilot Training College
Number of Female Students
40 32 24 16 8
1
2
3 4 5 6 Years Since 2004
7
8
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 11) Each year advertisers spend billions of dollars purchasing commercial time on network sports television. A recent article listed the top 10 leading spenders (in millions of dollars) over a 6 month period: Company A Company B Company C Company D Company E
$72.0 63.1 54.7 54.3 29.0
Company F Company G Company H Company I Company J
$26.9 25.0 23.9 23.0 20.0
Which of the following graphs would not be appropriate for displaying this data? A) None of these should be used. B) Pie chart C) Stem-and-leaf plot D) Histogram E) Dot plot
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11)