
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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.)
Expert Solution

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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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