Use the t-distribution table to find the critical value(s) for the indicated alt

Question

Use the t-distribution table to find the critical value(s) for the indicated alternative hypotheses, level of significance a, and sample sizes ny and n2. Assume that the samples are independent, normal, and random. Answer parts (a) and (b). (a) Find the critical value(s) assuming that the population variances are equal. Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed. (b) Find the critical value(s) assuming that the population variances are not equal. (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.)

Explanation / Answer

a)

Based on the information provided, the significance level is

alpha =0.10, and the degrees of freedom are df = n1+n2-2=10. assuming that the population variances are equal:

Hence, it is found that the critical value for this left-tailed test is tc = -1.372

b)

assuming that the population variances are unequal:

Hence, it is found that the critical value for this left-tailed test is tc = -2.420 for alpha = 0.10 and df = 1.304

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