n x . s. n x . s. = 32 = 15 05000 = 4 210 = 32 = 12 86875 = 4 919

Name: Student ID: Page: 6 of 6

(2 marks). Here are the numerical summaries for the two sets of data. Population #1 are students from Section AS04 who wrote Version B of the test. Population #2 are students from Section AS80 who wrote version B of the test. Briefly explain why we can proceed with statistical inference even if we think the populations of grades may not be normal.

(7 marks). Perform a hypothesis test at the 0.05 significance level to determine if there is significant evidence of a difference in mean grades between the AS04 and AS80 students for Version B of the test. Use degrees of freedom equal to 60.