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The population mean of a certain population is thought to equal 140. Assume the

ID: 3135174 • Letter: T

Question

The population mean of a certain population is thought to equal 140. Assume the value of the population standard deviation is 24. Repeated samples of size 36 were drawn from this population. Consider the set of sample means that result from this sampling situation to answer the questions in this assignment.

The test statistic must be greater than what value to reject the hypothesis that the population mean equals 140 and conclude that the mean exceeds 140 at the 0.1% significance level?

If the sample mean is 148 and the z score is 2, what is the value of the p-value of the right-tail hypothesis test?

Explanation / Answer

test statistic must be greater than what value to reject the null hypothesis -

Critical value for 0.1% significance level is 3.090

P-value for z-score of 2 = 0.023

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