A sample of 100 donors to a charity has a mean donation amount of $55 with a

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A sample of 100 donors to a charity has a mean donation amount of $55 with a sample standard deviation of $25. Test using α = 0.05 whether the population mean donation amount exceeds $50.

a. Provide the hypotheses. State the meaning of μ.

b. What is the rejection rule?

c. What is the meaning of the test statistic tdata?

d. Is the value of the test statistic tdata extreme? How can we tell? What is the meaning of the p-value in this example?

e. What is our conclusion?

f. Interpret our conclusion so that a nonspecialist could understand it.

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