David Anderson has been working as a lecturer as a Michigan

David Anderson has been working as a lecturer as a 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 18 students in the first section, he computes a mean and a standard deviation of 80. 8 and 13.4 respectively. In the second section a random sample of 14 students results in a mean of 78.1 and a standard deviation of 1.14 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 H0: mu1-mu2 leq 0: mu1-mu2 le 0 H0:mu1-mu2 geq 0;HA:mu1-mu2 le 0 H0:mu1-mu2 = 0 HA:mu1-mu2#0 Calculate the value of the test statistic (Round intermediate calculations to 4 decimal places and final answer to 2 decimal places.) Test statistic What assumption regarding the population variances is used to conduct the test? Known population standard deviations Unknown population standard deviations that are not equal Unknown population standard deviations that are equal

Solution

a) Null hypothesis and the alternative hypothesis are the option 1

b) The test statistics value i.e. cal t = 0.749

c)Assumption regarding the population variance used to conduct the test is unknown population deviations that are equal.