Answer for #5

4.Consider the following results for two independent random samples taken from two populations. Assume that the variances are not equal.

Population 1 Population 2

Sample size, n 50 50

Sample mean, 35 30

Sample variance, 784 100

5. In Question 4 above, we made the assumption that the variances of the two populations were not equal. We want to perform a hypothesis test to determine whether or not this is a valid assumption. Answer the following four questions: a) What are the null and alternative hypotheses to run this test? a. Ho: $2 / S, = 1 ; HI: S, /S, # 1 d. Ho: of /0? =0 ; Hi: of /03 # 0 b. Ho: 03 /0? =1; Hi: o /0, >1 e. none of the above c. Ho: 07 /0? =1; Hi: o, /02 #1 b) What is the calculated value of the test statistic? a. 7.84 b. 1.17 c. 5.00 d. .883 e. none of the above