Use the t-distribution table to find the critical valuels) for the indicated ait

Question

Use the t-distribution table to find the critical valuels) for the indicated aiternative hypotheses, leveil of signiticance a. and sample Answer parts (a) and (b). sizes n, and nz Assume that the sampies are independent, normal, and random (a) Find the crifical vailuets) assuming that the population variances are equal (Type an integer or decimal rounded to three decimal places as needed Use a comma to soparate answers as neoded) b) Find the crtical value(s) assuming that the populat tion variances are not equal. Type an integer or decimal rounded to theee decimal places as needed Use a comma to separate answers as needed)

Explanation / Answer

This is a right tailed test.

a) When population variances are equal:

Degrees of freedom = n1 + n2 - 2 = 12 + 10 - 2 = 20

Hence,

Critical value at 0.005 level of significance = 2.845

b) When population variances are not equal:

Degrees of freedom = min(n1 - 1, n2 - 1) = min(12 - 1, 10 - 1) = min(11, 9) = 9

Hence,

Critical value at 0.005 significance level = 3.250

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