In a random sample of 8 people, the mean commute time to

Last updated: 7/22/2022

In a random sample of 8 people, the mean commute time to work was 36.5 minutes and the standard deviation was 7.2 minutes. A 98% confidence interval using the t-distribution was calculated to be (28.9,44.1). After researching commute times to work, it was found that the population standard deviation is 8.7 minutes. Find the margin of error and construct a 98% confidence interval using the standard normal distribution with the appropriate calculations for a standard deviation that is known. Compare the results.