In a random sample of five people, the mean driving distance to work was 24.8 miles and the standard deviation was 7.9 miles. Assuming the population is normally distributed and using the t-distribution, a 95% confidence interval for the population mean u is (15.0, 34.6) (and the margin of error is 9.8). Through research, it has been found that the population standard deviation of driving distances to work is 8.4. Using the standard normal distribution with the appropriate calculations for a standard deviation that is known, find the margin of error and construct a 95% confidence interval for the population mean u. Interpret and compare the results.

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