SOLUTION: In a random sample of 5 people, the mean driving distance to work was 18.9 miles and the standard deviation was 6.4 miles. Assume the population is normally distributed and use
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Question 1190978: In a random sample of 5 people, the mean driving distance to work was 18.9 miles and the standard deviation was 6.4 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 90% confidence interval for the population mean . Interpret the results.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
half-interval for 90%CI t-interval is t(0.95, df=4)*s/sqrt(n)
=2.132*6.4/sqrt(5)
=6.10
(12.8 miles, 25.0 miles)
We don't know the true value for everybody in the population, but we are 90% confident that it lies within this interval.
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