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Question: Manually calculate standard error and Z statistic (6 points)
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 79.5 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.
1. Calculate standard error
2. Calculate the Z statistic.
3. Determine the critical Z value(s).
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