Suppose we observe two independent random samples X1,... , X, with each X, ~ N (141, 0²) and Y1,.…,Yn, with each Y; ~ N(µ2, o²) We will assume that 41, µz and o² are unknown. We are given = 10.1, j = 7.1, s = 5.5 and sz = 6.4, with ny = 13 and ng = 19. Suppose we want to formally test the assumption tha: the variances of the the two populations the samples come from are equal. What is the test statistic we should use? Select one: O a. W (", 1)87 6.4 2~ O b. F = s (ny–1)s3 O c. W 5.5 We will now compute a 95% contidence interval tor the ratio ot . Here, we are no longer assuming equal variances, so ož denotes the population variance of each X, and of denotes the population variance of each Y;. What is the lower endpoint of this confidence interval? Give answer to 3 decimal places.

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