Course Introduction
Educational Statistics
Chapter Exam Questions
Educational Statistics introduces students to the fundamental concepts and techniques used in the collection, analysis, interpretation, and presentation of quantitative data within educational settings. The course covers descriptive and inferential statistics, including measures of central tendency and variability, probability distributions, hypothesis testing, correlation, regression, and the interpretation of statistical results. Emphasis is placed on the application of statistical methods to real-world educational research questions, equipping students with the analytical skills necessary to critically evaluate and conduct educational studies.
Recommended Textbook
Statistics for The Behavioral Sciences 10th Edition by Frederick J Gravetter
Available Study Resources on Quizplus
18 Chapters
1356 Verified Questions
1356 Flashcards
Source URL: https://quizplus.com/study-set/3041
Page 2
Chapter 1: Introduction to Statistics
Available Study Resources on Quizplus for this Chatper
76 Verified Questions
76 Flashcards
Source URL: https://quizplus.com/quiz/60439
Sample Questions
Q1) Statistical techniques are classified into two major categories: descriptive and inferential.Describe the general purpose of each category.
Answer: The purpose of descriptive statistics is to simplify the organization and presentation of data.The purpose of inferential statistics is to use the limited data from a sample as the basis for making general conclusions about the population.
Q2) The first step in computing (X + 1)is to sum the scores.
A)True
B)False
Answer: False
Q3) The relationship between a statistic and a parameter is the same as the relationship between ____.
A)a sample and a population
B)a statistic and a parameter
C)a parameter and a population
D)descriptive statistics and inferential statistics
Answer: A
To view all questions and flashcards with answers, click on the resource link above.
3
Chapter 2: Frequency Distributions
Available Study Resources on Quizplus for this Chatper
74 Verified Questions
74 Flashcards
Source URL: https://quizplus.com/quiz/60440
Sample Questions
Q1) For the distribution in the accompanying graph,Figure 2.1,what is the value of X?
A)10
B)15
C)21
D)30
Answer: D
Q2) The normal distribution is ____.
A)asymmetric
B)skewed to the right
C)skewed to the left
D)symmetric
Answer: D
Q3) For the scores shown in the accompanying stem and leaf display,Figure 2-3,what is the highest score in the distribution??
A)?8
B)?83
C)?84
D)?7042
Answer: C
To view all questions and flashcards with answers, click on the resource link above.
Page 4
Chapter 3: Central Tendency
Available Study Resources on Quizplus for this Chatper
75 Verified Questions
75 Flashcards
Source URL: https://quizplus.com/quiz/60441
Sample Questions
Q1) A sample has n = 7 scores with a mean of M = 7.If one individual with a score of X = 1 is removed from the sample,the new mean will be M = 8.
A)True
B)False
Answer: True
Q2) Explain why it is necessary to have more than one standard procedure for defining and measuring central tendency.
Answer: No single method for measuring central tendency will produce a good,representative value in every situation.Although the mean works well in most situations,there are circumstances in which the mean is not representative or the mean cannot be calculated.
Q3) For a 100-point exam,a score of X = 65 is definitely above the median.
A)True
B)False
Answer: False
Q4) Adding a new score to a distribution will always change the value of the mean.
A)True
B)False
Answer: False
To view all questions and flashcards with answers, click on the resource link above. Page 5
Chapter 4: Variability
Available Study Resources on Quizplus for this Chatper
75 Verified Questions
75 Flashcards
Source URL: https://quizplus.com/quiz/60442
Sample Questions
Q1) For a sample of n = 6 scores with X = 30 and X<sup>2</sup> = 200,SS = 20.
A)True
B)False
Q2) A population of N = 5 scores has SS = 20 and 2 = 4.If the 5 scores were a sample,the value of SS would still be 20 but the variance would be s<sup>2</sup> = 5.
A)True
B)False
Q3) You have a score of X = 75 on a statistics exam.The mean score for the class on the exam is = 70.Which of the following values for the standard deviation would give you the highest position within the class?
A) = 1
B) = 5
C) = 10
D) = 12
Q4) A sample with a variance of 25 has a standard deviation equal to 5 points.
A)True
B)False
Q5) Calculate the variance and the standard deviation for the following sample data.Scores: 10,7,9,1,2,0,6
To view all questions and flashcards with answers, click on the resource link above. Page 6
Chapter 5: Z-Scores: Location of Scores and Standardized
Distributions
Available Study Resources on Quizplus for this Chatper
77 Verified Questions
77 Flashcards
Source URL: https://quizplus.com/quiz/60443
Sample Questions
Q1) For a sample with s = 12,a score of X = 73 corresponds to z = 1.00.What is the sample mean?
A)M = 61
B)M = 67
C)M = 79
D)M = 85
Q2) For a population with µ = 80 and = 10,what is the z-score corresponding to X = 95?
A)+0.25
B)+0.50
C)+0.75
D)+1.50
Q3) On a psychology exam with µ = 76 and = 12,Tom scored 9 points below the mean,Mary had a score of X = 70,and Bill had a z-score of z = -1.00.Place these three students in order from lowest to highest score.____: Student with lowest score____: Student with middle score____: Student with highest score
Q4) For a population with µ = 48 and = 8,find the X value that corresponds to each of the following z-scores: -0.25,-1.50,0.50,2.00.
To view all questions and flashcards with answers, click on the resource link above. Page 7
Chapter 6: Probability
Available Study Resources on Quizplus for this Chatper
76 Verified Questions
76 Flashcards
Source URL: https://quizplus.com/quiz/60444
Sample Questions
Q1) For a normal distribution with µ = 80 and = 10 the score that separates the bottom 10% of the distribution from the rest is 67.2.
A)True
B)False
Q2) If one score is randomly selected from a normal distribution with µ = 100 and = 20,the probability of obtaining a score between X = 90 and X = 100 is p = 0.3085.
A)True
B)False
Q3) What proportion of a normal distribution is located in the tail beyond z = -1.00?
A)0.8413
B)0.1587
C)-0.3413
D)-0.1587
Q4) For a normal distribution,the z-score boundary that separates the lowest 2.5% of the scores from the rest is z = -1.96.
A)True
B)False
To view all questions and flashcards with answers, click on the resource link above.
8
Chapter 7: Probability and Samples: the Distribution of Sample Means
Available Study Resources on Quizplus for this Chatper
77 Verified Questions
77 Flashcards
Source URL: https://quizplus.com/quiz/60445
Sample Questions
Q1) A sample of n = 4 scores is selected from a population with = 50 and = 12.If the sample mean is M = 56,what is the z-score for this sample mean?
A)0.50
B)1.00
C)2.00
D)4.00
Q2) Define the distribution of sample means.
Q3) If all the possible random samples with n = 36 scores are selected from a normal population with µ = 80 and = 18,and the mean is calculated for each sample,then what is the average of all the sample means?
A)2
B)6
C)80
D)It cannot be determined without additional information.
Q4) A sample is obtained from a population with s = 20.If the sample mean has a standard error of 5 points,then the sample size is n = 4.
A)True
B)False
9
To view all questions and flashcards with answers, click on the resource link above.
Chapter 8: Introduction to Hypothesis Testing
Available Study Resources on Quizplus for this Chatper
76 Verified Questions
76 Flashcards
Source URL: https://quizplus.com/quiz/60446
Sample Questions
Q1) Which of the following represents the probability of a Type II error?
A)µ B)
C)
D)
Q2) A sample of n = 25 individuals is selected from a population with µ = 80 and a treatment is administered to the sample.What is expected if the treatment has no effect?
A)The sample mean should be very different from 80 and should lead you to reject the null hypothesis.
B)The sample mean should be very different from 80 and should lead you to fail to reject the null hypothesis.
C)The sample mean should be close to 80 and should lead you to reject the null hypothesis.
D)The sample mean should be close 80 and should lead you to fail to reject the null hypothesis.
Q3) Define the critical region for a hypothesis test,and explain how the critical region is related to the alpha level.
To view all questions and flashcards with answers, click on the resource link above.
Chapter 9: Introduction to the T Statistic
Available Study Resources on Quizplus for this Chatper
74 Verified Questions
74 Flashcards
Source URL: https://quizplus.com/quiz/60447
Sample Questions
Q1) If a hypothesis test using a sample of n = 16 scores produces a t statistic of t = 2.15,then the correct decision is to reject the null hypothesis for a two-tailed test with a = .05.
A)True
B)False
Q2) How does sample variance influence the likelihood of rejecting the null hypothesis and measures of effect size such as r<sup>2</sup> and Cohen's d?
A)Larger variance increases both the likelihood and measures of effect size.
B)Larger variance increases the likelihood but decreases measures of effect size.
C)Larger variance decreases the likelihood but increases measures of effect size.
D)Larger variance decreases both the likelihood and measures of effect size.
Q3) Which set of characteristics will produce the smallest value for the estimated standard error?
A)A large sample size and a small sample variance
B)A large sample size and a large sample variance
C)A small sample size and a small sample variance
D)A small sample size and a large sample variance
To view all questions and flashcards with answers, click on the resource link above. Page 11
Chapter 10: The T Test for Two Independent Samples
Available Study Resources on Quizplus for this Chatper
75 Verified Questions
75 Flashcards
Source URL: https://quizplus.com/quiz/60448
Sample Questions
Q1) A major company would like to assess the impact of using a professional trainer to conduct a confidence-building workshop with their salespeople.A sample of 16 workers is obtained.Half (n = 8)attend the workshop and the other half (n = 8)serves as a control group.For the first group of salespeople who attending the training,M = 22.7 and SS = 100.For the second group of salespeople who did not attend the training,M = 17.5 and SS = 124.Use the sample data to construct an 80% confidence interval for the mean difference in confidence between the control group and the workshop conditions.
Q2) Researchers conduct a hypothesis test and use the data from two separate sets of observations drawn from the same group of participants.Their research design is called a repeated-measures research design or a(n)____.
A)independent-measures design
B)dependent-measures design
C)between-subjects design
D)within-subjects design
Q3) One sample has n = 7 scores with SS = 40,and a second sample has n = 5 scores with SS = 80.The pooled variance for these two samples is 120/10 = 12.
A)True
B)False
To view all questions and flashcards with answers, click on the resource link above.
12
Chapter 11: The T Test for Two Related Samples
Available Study Resources on Quizplus for this Chatper
76 Verified Questions
76 Flashcards
Source URL: https://quizplus.com/quiz/60449
Sample Questions
Q1) A related-sample design consists of scores in one set that are directly related,one-to-one,with the scores in the second set.
A)True
B)False
Q2) A research report describing the results from a repeated-measures t test states,"t(22)= 1.71,p > .05." From this report you can conclude that the outcome of the hypothesis test was to ____.
A)reject the null hypothesis with a sample of n = 23 participants
B)fail to reject the null hypothesis with a sample of n = 23 participants
C)reject the null hypothesis with a sample of n = 22 participants
D)fail to reject the null hypothesis with a sample of n = 22 participants
Q3) A researcher obtains t = 2.35 for a repeated-measures study using a sample of n =
8 participants.Based on this t value,what is the correct decision for a two-tailed test?
A)Reject the null hypothesis with = .05 but not with = .01.
B)Reject the null hypothesis with either = .05 or = .01.
C)Fail to reject the null hypothesis with either = .05 or = .01.
D)Change to = .10.
To view all questions and flashcards with answers, click on the resource link above. Page 13
Chapter 12: Introduction to Analysis of Variance
Available Study Resources on Quizplus for this Chatper
74 Verified Questions
74 Flashcards
Source URL: https://quizplus.com/quiz/115821
Sample Questions
Q1) Tukey's HSD test allows one to compute a single value that determines the minimum difference between treatment means that is necessary for significance.
A)True
B)False
Q2) For an analysis of variance comparing three treatment means with a separate sample of n = 10 participants in each treatment,df<sub>total</sub> = 29.
A)True
B)False
Q3) In general,what factors are most likely to reject the null hypothesis for an ANOVA?
A)small mean differences and small variances
B)small mean differences and large variances
C)large mean differences and small variances
D)large mean differences and large variances
Q4) What is the purpose for post tests?
A)to determine whether or not a Type I error was committed
B)to determine how much difference exists between the treatments
C)to determine which treatments are significantly different
D)to determine whether or not the sample is normally distributed
To view all questions and flashcards with answers, click on the resource link above.
Page 14
Chapter 13: Repeated-Measures Analysis of Variance
Anova
Available Study Resources on Quizplus for this Chatper
75 Verified Questions
75 Flashcards
Source URL: https://quizplus.com/quiz/60451
Sample Questions
Q1) The following data were collected from a repeated-measures study.Perform an ANOVA and then analyze the data with a t test.Use the .05 level of significance for both.
\[\begin{array} { c c c }
& { \text { Treatment } } \\
& \text { A } & B \\
\mathrm { G } = 36 & 2 & 6 \\
\mathrm { G } ^ { 2 } = 1296 & 2 & 6 \\
\mathrm { ZX } ^ { 2 } = 192 & 4 & 4 \\
& 4 & 8 \\
& & \\
& \mathrm { T } = 12 & \mathrm {~T} = 24 \\
&\mathrm { SS } = 4 & \mathrm { SS } = 8
\end{array}\]
Q2) In the second stage of analysis for the repeated-measures ANOVA,individual differences are removed from the denominator of the F-ratio.
A)True
B)False
Q3) Explain why MS<sub>within</sub> is not an appropriate error term (denominator)for the repeated-measures F-ratio.
Page 15
To view all questions and flashcards with answers, click on the resource link above.
Chapter 14: Two-Factor Analysis of Variance Independent Measures
Available Study Resources on Quizplus for this Chatper
75 Verified Questions
75 Flashcards
Source URL: https://quizplus.com/quiz/60452
Sample Questions
Q1) For an experiment involving three levels of factor A and three levels of factor B,with a sample of n = 8 in each treatment condition,what are the df values for the F-ratio for the AxB interaction?
A)2, 63
B)4, 63
C)6, 63
D)8, 63
Q2) The results of a two-factor analysis of variance produce df = 1,30 for the F-ratio for factor A,and df = 2,30 for the F-ratio for the A x B interaction.Based on this information,how many levels of factor B were compared in the study?
A)one
B)two
C)three
D)four
Q3) Obtaining a significant interaction means that both factors A and B have significant main effects.
A)True
B)False
Q4) What are the assumptions for the two-factor ANOVA?
Page 16
To view all questions and flashcards with answers, click on the resource link above.
Chapter 15: Correlation
Available Study Resources on Quizplus for this Chatper
76 Verified Questions
76 Flashcards
Source URL: https://quizplus.com/quiz/60453
Sample Questions
Q1) Under what circumstances is the point-biserial correlation used?
A)in the same circumstances when a repeated-measures t test would be used
B)when X consists of regular, numerical scores but Y is dichotomous
C)when both X and Y are dichotomous variables
D)when both X and Y are measured on an ordinal scale (ranks)
Q2) If the following seven scores are ranked from smallest to largest,then what rank should be assigned to a score of X = 1?Scores: 1,1,1,1,3,6,6,6,9
A)1
B)2
C)2.5
D)4
Q3) For a set of n = 10 pairs of scores with X = 10, Y = 40,and XY = 50,the sum of products of deviation is SP = 10.
A)True
B)False
Q4) If the data points in a scatter plot show a nearly circular pattern,then the correlation is near zero.
A)True
B)False
To view all questions and flashcards with answers, click on the resource link above. Page 17
Chapter 16: Introduction to Regression
Available Study Resources on Quizplus for this Chatper
75 Verified Questions
75 Flashcards
Source URL: https://quizplus.com/quiz/60454
Sample Questions
Q1) Assuming that SS<sub>Y</sub> is constant,which of the following correlations would have the largest SS<sub>residual</sub>?
A)r = -0.10
B)r = +0.40
C)r = -0.70
D)There is no relationship between the correlation and SS<sub>residual</sub>.
Q2) For a linear regression calculated for a sample of n = 20 pairs of X and Y values,what is the value for degrees of freedom for the unpredicted portion of the Y-score variance,MS<sub>residual</sub>?
A)1
B)2
C)18
D)19
Q3) A linear regression equation has b = 3 and a = - 6.What is the predicted value of Y for X = 4?
A) = 6
B) = -21
C) = -2
D)This cannot be determined without additional information.
To view all questions and flashcards with answers, click on the resource link above.
Page 18
Chapter 17: The Chi-Square Statistic: Tests for Goodness of Fit
and Independence
Available Study Resources on Quizplus for this Chatper
75 Verified Questions
75 Flashcards
Source URL: https://quizplus.com/quiz/60455
Sample Questions
Q1) A chi-square test for independence is being used to evaluate the relationship between two variables,one of which is classified into three categories and the second of which is classified into four categories.The chi-square statistic for this test would have a df value equal to ____.
A)6
B)7
C)10
D)11
Q2) In general,a large value for chi-square indicates a good fit between the sample data and the null hypothesis.
A)True
B)False
Q3) Which of the following accurately describes the chi-square distribution?
A)symmetrical with a mean of zero
B)positively skewed with all values greater than or equal to zero
C)negatively skewed with all values greater than or equal to zero
D)symmetrical with a mean equal to n - 1
Q4) The chi-square distribution tends to be symmetrical with a mean of = 0.
A)True
B)False
To view all questions and flashcards with answers, click on the resource link above. Page 19
Chapter 18: The Binomial Test
Available Study Resources on Quizplus for this Chatper
75 Verified Questions
75 Flashcards
Source URL: https://quizplus.com/quiz/60456
Sample Questions
Q1) If pn = 20 and qn = 60,then what is the value of n?
A)100
B)80
C)40
D)20
Q2) The null hypothesis for a binomial test states that p = 1/5.What is the z-score for X = 29 in a sample of n = 100?
A)z = 0.8
B)z = 1.8
C)z = 2.25
D)z = 0.5625
Q3) A local traffic light is set so that it cycles between 30 seconds of red and 30 seconds of green.What is the probability of randomly hitting a red light more than 25 times in n = 40 trips through the intersection?
Q4) The normal approximation is appropriate for binomial data with n = 36 and p = 0.80. A)True
B)False
Q5) State the four-step procedure used in a binomial hypothesis test.
To view all questions and flashcards with answers, click on the resource link above.
Page 20