Operations Management Statistics
Exam Solutions
Course Introduction
Operations Management Statistics is a course designed to introduce students to the fundamental statistical methods and analytical tools used in managing business operations effectively. Through topics such as probability distributions, hypothesis testing, regression analysis, and quality control, students learn to collect, analyze, and interpret data relevant to operational decision-making. The course emphasizes practical applications in areas such as process optimization, forecasting, inventory management, and performance measurement, equipping students with the quantitative skills necessary for making informed decisions and driving efficiency in various operational contexts.
Recommended Textbook
Business Statistics in Practice 7th Edition by
Bruce Bowerman
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10 Chapters
1299 Verified Questions
1299 Flashcards
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Page 2
Chapter 1: An Introduction to Business Statistics
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60 Verified Questions
60 Flashcards
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Sample Questions
Q1) Time series data are data collected at the same time period.
A)True
B)False
Answer: False
Q2) If we examine some of the population measurements,we are conducting a census of the population.
A)True
B)False Answer: False
Q3) A random sample is selected so that every element in the population has the same chance of being included in the sample.
A)True
B)False
Answer: True
Q4) ___________ refers to describing the important aspects of a set of measurements.
A)Cross-sectional analysis
B)Runs plot
C)Descriptive statistics
D)Time series analysis
Answer: C
Page 3
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Chapter 2: Descriptive Statistics: Tabular and Graphical Methods
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101 Verified Questions
101 Flashcards
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Sample Questions
Q1) When grouping a large sample of measurements into classes,the ______________ is a better tool than the ___________.
A)Histogram,stem-and-leaf display
B)Box plot,histogram
C)Stem-and-leaf display,scatter plot
D)Scatter plot,box plot
Answer: A
Q2) A ______________ can be used to differentiate the "vital few" causes of quality problems from the "trivial many" causes of quality problems.
A)Histogram
B)Scatter plot
C)Pareto chart
D)Ogive plot
E)Stem-and-leaf display
Answer: C
Q3) When data are qualitative,the bars should never be separated by gaps.
A)True
B)False
Answer: False
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Chapter 3: Descriptive Statistics: Numerical Methods
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142 Verified Questions
142 Flashcards
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Sample Questions
Q1) The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m. ).They selected 13 patrons and had them get in line between 2 and 3 p.m.Each was given a stopwatch to record the time they spent in line.The times recorded were as follows (in minutes)(mean = 114.15): 118,124,108,116,99,120,148,118,119,121,45,130,118
What is the standard deviation?
A)103
B)23.62
C)557.97
D)128.8
E)115
Answer: B
Q2) If a population distribution is skewed to the right,then,given a random sample from that population,one would expect that the ____________.
A)Median would be greater than the mean
B)Mode would be equal to the mean
C)Median would be less than the mean
D)Median would be equal to the mean
Answer: C
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Page 5
Chapter 4: Probability
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144 Verified Questions
144 Flashcards
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Sample Questions
Q1) Four employees who work as drive-through attendants at a local fast-food restaurant are being evaluated.As part of a quality improvement initiative and employee evaluation,these workers were observed over three days.One of the statistics collected was the proportion of time the employee forgot to include a napkin in the bag.Related information is given in the table. \(\begin{array}{lcc} &\text { o of Dinners }&\text { o of Dinners Packed }\\
\text { Worker } & \text { Packed } & \text { with No Napkin } \\
\text { Joe } & 25 \% & 6 \% \\
\text { Jan } & 20 \% & 2 \% \\
\text { Cheryl } & 20 \% & 10 \% \\
\text { Clay } & 35 \% & 4 \%
\end{array}\)
What is the probability that Cheryl prepared your dinner and forgot to include a napkin?
A)0.20
B)0.10
C)0.45
D)0.02
E)0.30
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Page 6
Chapter 5: Discrete Random Variables
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155 Verified Questions
155 Flashcards
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Sample Questions
Q1) The equation for the variance of the binomial distribution is given by:
A)px(1 - p)n-x
B)np
C)np(1 - p)
D) \(\sqrt { n p ( 1 - p ) }\)
Q2) A study conducted by a local university found that 25 percent of college freshmen support increased spending on environmental issues.If 6 college freshmen are randomly selected,find the probability that exactly 3 support increased spending on environmental issues.
A).0330
B).1318
C).7844
D).9624
Q3) A random variable is said to be discrete if
A)Its outcomes are countable.
B)It can assume any real number within a given interval.
C)The rules of probability apply.
D)It can be represented graphically.
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Chapter 6: Continuous Random Variables
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150 Verified Questions
150 Flashcards
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Sample Questions
Q1) The cashier service time at the local branch of the Rivertown bank has an exponential distribution with a mean of 2.5 minutes.What is the probability that the service time is between 2 and 4 minutes?
A).2488
B).4493
C).2019
D).2474
E).1170
Q2) The weight of a product is normally distributed with a standard deviation of .5 ounces.What should the average weight be if the production manager wants no more than 5 percent of the products to weigh more than 5.1 ounces?
A)4.278
B)4.409
C)3.455
D)5.922
Q3) The number of defective pencils in a lot of 1000 is an example of a continuous random variable.
A)True
B)False
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Page 8
Chapter 7: Sampling and Sampling Distributions
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132 Verified Questions
132 Flashcards
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Sample Questions
Q1) A "Yes or No" question is _____________.
A)Dichotomous
B)Multiple choice
C)Open-ended
D)Systematic
Q2) Packages of sugar bags for Sweeter Sugar Inc.have an average weight of 16 ounces and a standard deviation of 0.3 ounces.The weights of the sugar packages are normally distributed.What is the probability that 9 randomly selected packages will have a weight in excess of 16.025 ounces?
A).5987
B).0062
C).4013
D).9938
Q3) If p = .9 and n = 40,then we can conclude that the sampling distribution of \(\hat { p }\) is approximately a normal distribution.
A)True
B)False
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9
Chapter 8: Confidence Intervals
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149 Flashcards
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Sample Questions
Q1) Which of the following is an advantage of a confidence interval estimate over a point estimate for a population parameter?
A)Interval estimates are more precise than point estimates.
B)Interval estimates are less accurate than point estimates.
C)Interval estimates are both more accurate and more precise than point estimates.
D)Interval estimates take into account the fact that the statistic being used to estimate the population parameter is a random variable.
Q2) The coffee and soup machine at the local bus station is supposed to fill cups with 6 ounces of soup.Ten cups of soup are bought with results of a mean of 5.93 ounces and a standard deviation of 0.13 ounces.How large a sample of soups would we need to be 95 percent confident that the sample mean is within 0.03 ounces of the population mean?
A)97
B)96
C)73
D)62
E)10
Q3) When sample size is 20,find t<sub>.001</sub>.
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Page 10
Chapter 9: Hypothesis Testing
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148 Flashcards
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Sample
Questions
Q1) A cereal manufacturer is concerned that the boxes of cereal not be under filled or overfilled.Each box of cereal is supposed to contain 13 ounces of cereal.A random sample of 31 boxes is tested.The average weight is 12.58 ounces,and the standard deviation is 0.25 ounces.What is the critical value for testing these hypotheses at = .001.
Q2) In 1930,the average size of a public restroom was 172 square feet.By 1990,due to federal disability laws,the average size had increased to 471 square feet.Suppose that a design team believes that this standard has increased from the 1990 level.They randomly sample 23 public restrooms in a major midwestern city and obtain a mean square footage of 498.78 with a standard deviation of 46.94.Test the hypotheses at = .001.
Q3) The level of significance indicates the probability of rejecting a false null hypothesis.
A)True
B)False
Q4) The larger the p-value,the more we doubt the null hypothesis.
A)True
B)False
Q5) Determine the p-value for H<sub>0</sub>: 95;versus H<sub>A</sub>: < 95,when \(\bar { X } = 90.2\)
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Chapter
10: Comparing Two Means and Two Proportions
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118 Verified Questions
118 Flashcards
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Sample Questions
Q1) Find a 95 percent confidence interval for the difference between means,where n<sub>1</sub> = 50,n<sub>2</sub> = 36, \(\bar { X } _ { 1 }\) = 80, \(\bar { X } _ { 2 }\) = 75,s<sub>1</sub><sup>2</sup> = 5,and s<sub>2</sub><sup>2</sup> = 3.Assume unequal variances.
Q2) A new company is in the process of evaluating its customer service.The company offers two types of sales: (1)Internet sales and (2)store sales.The marketing research manager believes that the Internet sales are more than 10 percent higher than store sales.The alternative hypothesis for this problem would be stated as:
A)P<sub>Internet</sub> - P<sub>store</sub> > 0
B)P<sub>Internet</sub> - P<sub>store</sub> < 0
C)P<sub>Internet</sub> - P<sub>store</sub> 0
D)P<sub>Internet</sub> - P<sub>store</sub> .10
E)P<sub>Internet</sub> - P<sub>store</sub> > .10
Q3) An independent samples experiment is an experiment in which there is no relationship between the measurements in the different samples.
A)True
B)False
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