Question 262939
In a study of the life expectancy of 500 people in a certain geographic region,the mean age at death was 72.0 years, and the standard deviation was 5.3 years.
If a sample of 50 people from this region is selected, find the probability that the mean life expectancy will be less than 70 years.
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t(70) = (70-72)/[5.3/sqrt(50)] = -2.6683..
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P(x< 70) = P(t<-2.6683 when df = 49) = tcdf(-100,-2.6683,49) = 0.0052
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Cheers,
Stan H.