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Test the claim about the population​ mean, mu ​, at the given level of significance using...

Test the claim about the population​ mean, mu ​, at the given level of significance using the given sample statistics. ​Claim: mu equals30​; alpha equals0.07​; sigma equals3.28. Sample​ statistics: x overbar equals28.3​, equals 67

Math   Statistics-And-Probability   
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Answer #1

This is the two tailed test .

The null and alternative hypothesis is

H0 : = 30

Ha : 30

Test statistic = z

= ( - ) /    / n

= (28.3 - 30) / 3.28 / 67

Test statistic = -4.24

P-value = 0.000

P-value <

Reject the null hypothesis .

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