State University offers several selections of a Business Statistics course in an in-class and online format. Both formats are administered the same final exam each year. You have been assigned to test the hypothesis that the average final exam score of in-class students is different from the average final exam scores of online students. The following data summarizes the sample statistics for the final exam score for students from each format. Assume the population variances are unequal. Use a = 0.05. In-Class Format Online Format Sample Mean 86.5 84.7 Sample Size 22 25 Sample Standard Deviation 4.6 6.1

a. What is the correct hypothesis statement for this hypothesis test? (the null or H should be stated so that it reflects the stmt you are trying to prove as false (aka the opposite of what the statement is testing)

b. Finding the critical value. i. Note level of significance... What tailed test is this?

ii. What is the critical value?

iii. Which distribution table did you use and why?

c. What is the standard error of the difference between two means for this hypothesis? value

d. Calculate the test statistic for this hypothesis.

e. What is the p-value for the hypothesis? Is the p-value or a larger? Interpret

f. Graph your rejection region and plot your test statistic and critical value:

g. State the conclusion for this hypothesis test

h. At a 95% level of confidence, what is the confidence interval for the difference in population means