An important factor in selling a residential property is the number of times real estate agents show a home. A sample of 16 homes recently sold in the Buffalo, New York, area revealed the mean number of times a home was shown was 21 and the standard deviation of the sample was 6 people

a. What is the margin of error for a 98% confidence interval? (Round your answers to 3 decimal places.) b. What is the 98% confidence interval for the population mean? (Round your answers to 2 decimal places.)