A researcher wants to determine if the population mean is greater than 45. A random sample of

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A researcher wants to determine if the population mean is greater than 45. A random sample of 36 observations yields a sample mean of 47. Assume that the population standard deviation is 8.

a. Specify the competing hypotheses to test the researcher’s claim.

b. Calculate the value of the test statistic.

c. Find the p-value.

d. At the 5% significance level, what is the conclusion?

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