Hello, can you help me with this math problem and show me step by step to understand this math problem. Thank you. In a random sample of 8, people the mean commute time to work was 36.5 mins and the...

Hello,  can you help me with this math problem and show me step by step to understand this math problem. Thank you.

In a random sample of 8, people the mean commute time to work was 36.5 mins and the standard deviation was 7.4 mins . A 98% confidence interval using the t-distribution was calculated (2.87, 44.3). After researching commute times to work, it was found that the population standard deviation is 8.8 mins. 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 μ is________

(Round to two decimal places as​ needed.)