3. A college instructor of mathematics believes that students perform better on

Question

3. A college instructor of mathematics believes that students perform better on paper tests than online tests but knows from experience that students prefer online tests. He was scheduled to teach two sections of a large enrollment multi-section course in a semester. He gave an online test to one section and a comparable paper test to the other section. Since students did not know at the time of enrollment about instructor's plan to use two different testing methods, it can be safely assumed that students' choice of section was fairly random. The test scores are listed below. Onine 7 75 7 81 36 272 7 73 80 7472 10 1 8 9 8 65 53 47 Paper 79 75 49 78 73 81 70 63 79 65 60 74 64 64 74 69 57 65 61 58 Online 79 75 71 81 56 72 49 75 63 81 74 72 71 73 83 59 78 65 53 47 63 82 81 76 65 82 78 76 65 72 85 84 81 50 79 Use test scores to determine if they support instructor's belief Estimate the difference in mean scores of students on paper and online tests using 95% confidence. a. b.

Explanation / Answer

a)

p-value = 0.87

Failed to reject the null hypothesis.

This means there are not significant evidence to conclude that students perform better on papter tests than online tests.

b)

Null Hypothesis Alternate Hypothesis H0: 1 - 2 <= 0 Ha: 1 - 2 > 0

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