1- According to the CDC report, the mean life expectancy in the US population is currently (µ) 78.6 years with a

standard deviation (σ) of 12. A researcher examined the age of death of 400 people recently recorded in several Arizona hospitals and calculated the mean to be 79.7 years old. He runs a two-tailed Z test with α = .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 and the test should be two-tailed.

a. Calculate standard error

b. Calculate the Z statistic

c. Determine the critical Z value(s).

d. Compare the Z statistic with the appropriate critical Z value

e. Calculate the standardized effect size.

2- Because a sample of 400 people is small, it may not represent the state of Arizona adequately. So the researcher continues to collect data until the sample becomes 900. The average life expectancy remains 79.7, the same as the previous scenario.

f. What is the standard error now?

g. What is the Z statistic now?

h. What is the conclusion of the hypothesis test now?

i. What is the standardized effect size now?

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