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Use technology and a t-test to test the claim about the population mean muμ at the...

Use technology and a t-test to test the claim about the population mean muμ at the given level of significance

alphaα using the given sample statistics. Assume the population is normally distributed.

Claim: muμgreater than>7474 ; alphaα=0.010

Sample statistics:

x bar=74.374.3 , s=2.92.9 , n=26

What is the p-value of the test statistic?

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Answer #1

Solution :

This is the right tailed test .

The null and alternative hypothesis is ,

H0 :   = 74

Ha : > 74

= 74.3

= 74

s = 2.9

n = 26

df = 26 - 1 = 25

Test statistic = t

= ( - ) / s / n

= (74.3 - 74) / 2.9 / 26

= 0.53

Test statistic = 0.53

P-value = 0.3004

the p-value of the test statistic is 0.3004

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