For each of the following scenarios, determine the appropriate critical value(s)

Question

For each of the following scenarios, determine the appropriate critical value(s) for comparison. In your answer, include: (i) the letter for the statistic (i.e., Z or T); (ii) subscript(s) (e.g., 0.01; 0.05, 11); and (iii) the value(s). a) H_0: mu_1 = mu_2 H_1: mu_1 notequalto mu_2 X_1 = 18.85 s_1 = 1.36 n_1 = 8 alpha = 0.02 X_2 = 14.42 s_2 = 2.45 n_1 = 11 b) H_0: mu_D = 0.25 H_1: mu_D > 0.25 D = 1.15 s_0 = 0.88 n = 18 alpha = 0.05 c) H_0: mu_1 - mu_2 = 2 H_1: mu_1 - mu_2 > 2 X_1 = 44.3 sigma_1 = 3.25 n_1 = 6 alpha = 0.10 X_2 = 51.8 sigma_2 = 3.85 n_1 = 9

Explanation / Answer

a)

i) T - t- test for difference of means

III) Critical value for 16 df at 0.02 is 2.58

b) T - Paired t test

Critical value for 17 df at 0.05 is 1.74

c) Z- test of significance for difference of means

Critical value Z = 1.28

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