According to the CDC report, the mean life expectancy in the US population is currently () 78.6 years with a standard deviation () of 12. A researcher examined the age of death of 400 people recently recorded in several Arizona hospitals and calculated the mean to be 79.5 years old. He runs a two-tailed Z test with = .05 to see if Arizona has a significantly different life expectancy compared to the US population. Because the researcher is not predicting a direction, the hypotheses should be non-directional.

A. What are the null hypothesis and alternative hypothesis? Write each one in words and with symbols.

B. Calculate standard error ( _M, which is the standard deviation of the sampling distribution)

C. Calculate the Z statistic (which indicates where our sample mean is located on the sampling distribution)

D. Determine the critical Z value(s). Explain how to find the answer.

E. What is the conclusion of the hypothesis test (do you "reject" or "fail to reject" the null hypothesis)? What is the rationale?

F. Answer the research question (you can use the wording from the hypotheses or explain it in another way)

G. Calculate the standardized effect size.