n a random sample of six people, the mean driving distance to work was 22.9 miles and the standard deviation was 5.4 miles. Assuming the population is normally distributed and using thet-distribution, a 95% confidence interval for the population mean is (17.2,28.6) (and the margin of error is 5.7). Throughresearch, it has been found that the population standard deviation of driving distances to work is 4.8. Using the standard normal distribution with the appropriate calculations for a standard deviation that isknown, find the margin of error and construct a 95% confidence interval for the population mean . Interpret and compare the results.

Identify the margin of error.

(Round to one decimal place asneeded.)