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 n, 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 -2 845,2 845 (Type an integer or decimal rounded to three decimal places as needed Use a comma to separate answers as needed) tb) Find the crilical value(o) assuming that the popalation 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) Degree of freedom = n1 + n2 - 2 = 12+10 - 2 = 20

Alternative hypothesis is two tailed.

The critical values of the t value is - 2.845 , 2.845

b) The critical value of the t value is -3.250, 3.250

Degree of freedom smaller of n1 -1 or n2-1  

12-1 = 11 or 10-1 = 9

Degree of freedom =9

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