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Test the claim that the true population mean is statistically equal to 40, given a sample...

Test the claim that the true population mean is statistically equal to 40, given a sample of 150 observations for which the mean is 41.6. Assume that the true population standard deviation is 9, and test at the .01 level of significance. Provide a complete solution using the classical approach

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Expert Solution

This is the two tailed test .

The null and alternative hypothesis is

H0 : = 40

Ha : 40

Test statistic = z

= ( - ) /    / n

= (41.6 - 40) / 9 / 150

= 2.177

Test statistic = 2.177

= 0.01

Critical value = 2.326

Fail to reject the null hypothesis .

orchestra answered 2 years ago
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