Question Help ▼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).Ha: Hy # H2, a = 0.02, n, = 15, n, = 8(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.)

Name: Question Help ▼Use the t-distribution table to find the critical valu
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Description: Question Help ▼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

Answered: Question Felp Use the t-distribution…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 29PFA

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Step 1

(a)

Obtain the critical value when the population variances are equal.

The critical value is obtained below as follows :

Given the tail of the test is two tailed.

The degrees of freedom is obtained below as follows:

Use EXCEL Procedure for finding the critical value of t.

Follow the instruction to obtain the critical value of t:

Open EXCEL
Go to Formula bar.
In formula bar enter the function as“=TINV”
Enter the probability as 0.02.
Enter the degrees of freedom as 21.
Click enter

EXCEL output:

From the EXCEL output, the critical value of t at 0.02 level of significance with the 21 degrees of freedom is 2.518.

Thus, the critical values are(–2.518, 2.518).

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