David Anderson has been working as a lecturer at Michigan State University for t

Question

David Anderson has been working as a lecturer at Michigan State University for the last three years. He teaches two large sections of introductory accounting every semester. While he uses the same lecture notes in both sections, his students in the first section outperform those in the second section. He believes that students in the first section not only tend to get higher scores, they also tend to have lower variability in scores. David decides to carry out a formal test to validate his hunch regarding the difference in average scores. In a random sample of 17 students in the first section, he computes a mean and a standard deviation of 82.7 and 26.6, respectively. In the second section, a random sample of 29 students results in a mean of 78.6 and a standard deviation of 1.09. Sample 1 consists of students in the first section and Sample 2 represents students in the second section. Construct the null and the alternative hypotheses to test David's hunch. H_0: mu_1 - mu_2 = 0; H_a: mu_1 - mu_2 notequalto 0 H_0: mu_1 - mu_2 Greaterthanorequalto 2; H_A: mu_1 - mu_2

Explanation / Answer

a) -> a ( 1st option is right)

b1) Value of test static ->3.239

b2)-> a ( Pop. Standard Dev of both samples should be known)

c) With test static at 3.239, we have df of 17+29-1=45, P value =0.9989 .

Therefore, 1-0.9989 < 0.01 Therefore, d) Reject H0. scores aren't higher in the 1st section .

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