Q 2 A rental car company promotes cheap, affordable, old cars to backpackers. The company is interested in estimating the average number of days its cars have been rented for over past few years. The company has the records for all its cars, but to use this data would be very expensive. To make a quick estimate, a random sample of 32 hire cars is selected from the company records. The number of days each car was hired is given below (in days).
|
2
|
3
|
7
|
5
|
8
|
2
|
1
|
5
|
|
9
|
6
|
3
|
2
|
5
|
10
|
1
|
2
|
|
4
|
8
|
4
|
3
|
7
|
5
|
8
|
2
|
|
5
|
3
|
7
|
4
|
9
|
11
|
4
|
3
|
Using these data, construct a 95% confidence interval to estimate the average number of days a car is rented out. Assume that the number of days a car is rented is normally distributed in the population. What can you conclude from your calculations?