QN 13 Determine the critical values of the test statistic fo

Q.N. 13) Determine the critical values of the test statistic for each of the following small sample tests for the population mean where the assumption of normality is satisfied. a) left tailed test, alpha = 0.1 and n = 15 b) right tailed test, alpha = .1 and n = 20 c) two tailed test, alpha = 0.05 and n = 8

Solution

We use t test to do it

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(a)The degree of freedom =n-1=15-1=14

Given a=0.1, the critical value is t(0.1, df=14) = -1.345 (from student t table)

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(b)The degree of freedom =n-1=20-1=19

Given a=0.1, the critical value is t(0.1, df=19) =1.328 (from student t table)

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(c)The degree of freedom =n-1=8-1=7

Given a=0.05, the critical value is t(0.025, df=7) = 2.365 or -2.365 (from student t table)