In a random sample of five people, the mean driving distance to work was 20.4 miles and thestandard deviation was 7.2 miles. Assuming the population is normally distributed and usingthe t-distribution, a 95% confidence interval for the population mean pis (11.5, 29.3) (and themargin of error is 8.9). Through research, it has been found that the population standarddeviation of driving distances to work is 7.9. Using the standard normal distribution with theappropriate calculations for a standard deviation that is known, find the margin of error andconstruct a 95% confidence interval for the population mean . Interpret and compare theresults