How long does it take to commute from home to​ work? It dependson several factors including the​ route, traffic, and time ofdeparture. These times tend to be fairly close to symmetrical and​mound-shaped. The data listed below​ (in minutes) is for a randomsample of eight trips. Construct a
95​%
confidence interval for the population mean time of all suchcommutes.
26    
39    
34    
44    
20    
36    
31    
39
​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. Doesshe have the same commute as the​ population?
A.
She has the same commute because 45 is the same as the samplemean.
B.
She does not have the same commute because 45 is not the same asthe sample mean.
C.
She does not have the same commute because 45 is not within theinterval.
D.
She has the same commute because 45 is within the interval.
