In a random sample of 27 people, the mean commute time to work was 32.8 minutes and the standard deviation was 7.2 minutes. assume the population is normally distributed and use a t-distribution to construct a 99 % confidence interval for the population mean mu . what is the margin of error of mu ? interpret the results.

the confidence interval for the population mean ,

(round to one decimal place as needed.)

a) using the given sample statistics, find the left endpoint of the interval using technology, rounding to one decimal place.

b) using the given sample statistics, find the right endpoint of the interval using technology, rounding to one deci? mal place.

c) using the formulas and values for the left and/or rightendpoints, find the margin of error from technology, rounding to two decimal places.