An instructor at a large university wanted to see if homework sets containing some review problems are more effective than homework sets containing only problems consisting of new material. She conducted a study by randomly assigning 156 student volunteers to the two homework groups (78 students to each group) and then compared the two groups' average scores on the final exam using a one-tailed, two-sample t-procedure. The p-value for the test was 0.015. The group who had homework sets containing review problems had a higher mean final exam score by 6.3 percentage points. Which of the following gives the best interpretation of the p-value? (A) There is a 1.5% chance that there is no difference in effectiveness between the two styles of homework sets. (B) There is a 1.5% chance that homework sets with review problems are more effective than homework sets with only problems over new material. (C) There is a 1.5% chance of observing a sample mean final exam score for the review problems group at least 6.3 percentage points greater than the sample mean final exam score for the new material only problems group, if there is no difference in effectiveness between the two styles of homework sets. (D) There is a 1.5% chance of observing a sample mean final exam score for the review problems group at least 6.3 percentage points greater than the sample mean final exam score for the new material only problems group, if homework sets with review problems are more effective than homework sets with all similar problems. (E) There is a 1.5% chance that the population mean final exam score for all students doing homework sets with review problems is 6.3 percentage points higher than that for all students doing homework sets with only problems consisting of new material.
An instructor at a large university wanted to see if homework sets containing some review problems are more effective than homework sets containing only problems consisting of new material. She conducted a study by randomly assigning 156 student volunteers to the two homework groups (78 students to each group) and then compared the two groups' average scores on the final exam using a one-tailed, two-sample t-procedure. The p-value for the test was 0.015. The group who had homework sets containing review problems had a higher mean final exam score by 6.3 percentage points. Which of the following gives the best interpretation of the p-value? (A) There is a 1.5% chance that there is no difference in effectiveness between the two styles of homework sets. (B) There is a 1.5% chance that homework sets with review problems are more effective than homework sets with only problems over new material. (C) There is a 1.5% chance of observing a sample mean final exam score for the review problems group at least 6.3 percentage points greater than the sample mean final exam score for the new material only problems group, if there is no difference in effectiveness between the two styles of homework sets. (D) There is a 1.5% chance of observing a sample mean final exam score for the review problems group at least 6.3 percentage points greater than the sample mean final exam score for the new material only problems group, if homework sets with review problems are more effective than homework sets with all similar problems. (E) There is a 1.5% chance that the population mean final exam score for all students doing homework sets with review problems is 6.3 percentage points higher than that for all students doing homework sets with only problems consisting of new material.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:An instructor at a large university wanted to see if homework sets containing some review problems
are more effective than homework sets containing only problems consisting of new material. She
conducted a study by randomly assigning 156 student volunteers to the two homework groups (78
students to each group) and then compared the two groups' average scores on the final exam using a
one-tailed, two-sample t-procedure. The p-value for the test was 0.015. The group who had
homework sets containing review problems had a higher mean final exam score by 6.3 percentage
points. Which of the following gives the best interpretation of the p-value?
(A) There is a 1.5% chance that there is no difference in effectiveness between the two styles of
homework sets.
(B) There is a 1.5% chance that homework sets with review problems are more effective than
homework sets with only problems over new material.
(C) There is a 1.5% chance of observing a sample mean final exam score for the review problems
group at least 6.3 percentage points greater than the sample mean final exam score for the new
material only problems group, if there is no difference in effectiveness between the two styles of
homework sets.
(D) There is a 1.5% chance of observing a sample mean final exam score for the review problems
group at least 6.3 percentage points greater than the sample mean final exam score for the new
material only problems group, if homework sets with review problems are more effective than
homework sets with all similar problems.
(E) There is a 1.5% chance that the population mean final exam score for all students doing
homework sets with review problems is 6.3 percentage points higher than that for all students
doing homework sets with only problems consisting of new material.
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