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A sample of 15 from a normal population yields a sample mean of 43 and a...

A sample of 15 from a normal population yields a sample mean of 43 and a sample standard deviation of 4.7. The p-value that should be used to test the claim that the population mean is less than 45 is closest to:

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Answer #1

Solution :

The null and alternative hypothesis is ,

H0 : = 45

Ha : < 45

Test statistic (t) =

= ( - ) / s / n

= (43 - 45) / 4.7 / 15

Test statistic = -1.648

P-value = 0.0608

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