b) Find the critical value(s) assuming that the population variances are not equ

Question

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.)

Use the t-distribution table to find the critical value(s) for the indicated altemative hypotheses, level of significance a, and sample sizes ni and n2. Assume that the samples are independent, normal, and random Answer parts (a) and (b). Ha : 1 > 2, #0.05, n1-14, nz" 13 (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.)

Explanation / Answer

( here please revert if there is other information provided regarding std deviation of both population)

a) for equal population variance: degree of freedom =n1+n2-2 =14+13-2 =25

for 25 df and 0.05 level ; crtiical value =1.708

b) for unequal population variance:from conservative method: degree of freedom =min(n1,n2)-1=12

for 12 df and 0.05 level ; crtiical value =1.782

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