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Question 923:

The average life span of American male professors is 75.6 years, but standard deviation is unknown. A
random sample of n = 5 recently (last 10 years) deceased male college professors at Queens College is
obtained from the Human Resources Office’s personnel files and the age of death is provided below.

i 1 2 3 4 5
Age of Death 72 85 77 84 69

Could you conclude that Queens College Professors live longer than average? Use the appropriate two-tailed test
with an α = 0.05. Also, construct a 95% confidence interval. Do the statistical test and the confidence
interval agree? Write up your results.

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