Question

How long does it take to commute from home to​ work? It depends on several factors including the​ route, traffic, and time of departure. These times tend to be fairly close to symmetrical and​ mound-shaped. The data listed below​ (in minutes) is for a random sample of eight trips. Construct a 95​% confidence interval for the population mean time of all such commutes. 29    36    32    41    24    36    32    37  

​A) What is the mean for this set of​ data?  

​B) Confidence​ Interval: ( nothing ​, nothing ​) ​(round all answers to two decimal​ places) ​

C) The mean commute for professor St. John is 45 minutes. Does she have the same commute as the​ population?

A. She does not have the same commute because 45 is not the same as the sample mean.

B. She does not have the same commute because 45 is not within the interval.

C. She has the same commute because 45 is within the interval.

D. She has the same commute because 45 is the same as the sample mean.

Answer 1

A)

mean for this set of​ data =33.375

B)

Confidence​ Interval: (28.95 , 37.80)

C)

B. She does not have the same commute because 45 is not within the interval.