Exam 1 Practice Problems

# Exam 1 Practice Problems - 1 Alex gives an exam in one of...

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1. Alex gives an exam in one of the classes he teaches. The maximum possible score is 70. Alex then groups the students by the number of missed lectures, and then obtains a random sample from each of the three groups: students who did not miss any of the lectures, students who missed just a few lectures, and students who missed a lot of lectures. The results are shown in the table below. Lectures Missed None A Few A Lot 64 48 52 57 59 45 67 50 50 70 55 57 54 62 60 62 54 60 n i 7 5 6 i y 62 54.8 53 s i 2 31 34.7 28 a) Does the data suggest that at the average exam scores for these three groups are not the same? State the null and alternative hypotheses, construct an ANOVA table and state your conclusion at α = 0.05 and α = 0.01. b) Use a 95% confidence level and Scheffé’s multiple comparison procedure to compare the average exam score for students who did not miss any of the lectures with the average exam scores for those who missed just a few lectures and those who missed a lot of lectures.

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The grade point averages of students participating in college sports programs at Anytown State University are compared.* Football Basketball Hockey 3.2 2.6 2.4 2.4 1.9 3.8 3.1 2.6 3.7 3.3 2.8 2.3 1.8 2.5 2.1 1 y = 2.5 2 1 s = 0.220 2 y = 3.3 2 2 s = 0.235 3 y = 2.3 2 3 s = 0.145 a) At α = 0.05, can one conclude that there is a difference in the mean GPA of the three groups? Specify the null and the alternative hypotheses. Show the calculations leading to your conclusion in the form of an ANOVA table. b) Construct a 95% confidence interval for the difference between the average GPA for Basketball and the average GPA for Hockey. c) Use a 95% confidence level and Scheffé’s multiple comparison procedure to compare the average GPA for Basketball with the average GPA for Hockey. d) Use a 95% confidence level and Scheffé’s multiple comparison procedure to compare the average GPA for Basketball with the average GPA for Football and Hockey. e) Use a 95% confidence level and Tukey’s pairwise comparison procedure to compare the average GPA for Basketball with the average GPA for Hockey. ____________ * The data does
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Exam 1 Practice Problems - 1 Alex gives an exam in one of...

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