In a random sample of 8 people, the mean commute time to work was 33.5 minutes and the standard deviation was 7.3 minutes. A 98% confidence interval using thet-distribution was calculated to be (25.8,41.2). After researching commute times towork, it was found that the population standard deviation is 8.6 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.

The margin of error of is

.

(Round to two decimal places asneeded.)