1.State the purpose of Fisher’s F-test. Derive the test statistic for comparing two sample variances. List the assumptions of the F-test.
2.The hourly wages of workers in two factories were sampled, and the results were:
Factory A: n1=8n_1 = 8n1=8, variance = 120120120
Factory B: n2=10n_2 = 10n2=10, variance = 808080
Test whether the variances of the wages in the two factories differ significantly at the 5% level of significance.