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Problem 3


8.5 Small-Sample Test of Hypothesis about a Population Mean

The lifespan for the general population of males born in 1980 is 77 years old.  A worker for the Census Bureau claims that the average lifespan for college professors is greater than 77.  A random sample of 17 deceased college professors had a mean lifespan of 89 and a standard deviation of 9.5 years.  Use a significance level of 10% to test the CB worker’s claim.  If a politician criticizes the results of the test on the grounds that the sample size was too small, is that criticism valid here?


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