Question

In a random sample of 29 people, the mean commute time to work was 323 minutes and the standard deviation was 72 minutes. Assume the population is normally distributed and use at distribution to construct a 99% confidence interval for the population mean . What is the margin of error of u? Interpret the results The confidence interval for the population MAAN (Round to ona decimal ACA 2 neded) D The margin of error of his (Round to ona decimal DACA AS NAAded) Interpret the results O A. With 99% confidence. It can be said that the commute time is between the bounds of the confidence interval OB. If a large sample of people are taken approximately 99% of them wil have commule times between the bounds of the confidence interval OC. With 99% confidence it can be said that the population mean commute time is between the bounds of the confidence interval OD. It can be said that 99% of people have a commute time between the bounds of the confidence interval.

Answer 1

Given:- n=29 x= 32.3 s = 7.2 a = 0.01 Calculation:- The Confidence Interval is given by CI = x +ME Where At 99% confidence t--n-1) = 2.764 7.2 M.E.= t1-n-1) To 764* = 3.695 129 CI = + M.E = 32.3 + 3.695

The 99% Confidence Interval is (28.605, 35.995) 1) The 99% Confidence Interval is ( 28.605, 35.995) 2) The Margin of Error of u is 3.695 3) With 99% confidence it can be said that the population mean commute time is between the bounds of the confidence interval;