An airline is interested in selecting a software package for its reservation system. Even though the company would like to maximize use of its available seats, it prefers to bump as few passengers as possible. It has four software packages to choose from. The airline randomly chooses a package and uses it for a month. Over the span of a year, the company uses each package three times. The number of passengers bumped for each month for a given software package is shown in given Table.
(a) Is there a difference in the software packages as measured by the mean number of passengers bumped? Test at the 5% level of significance.
(b) Find a 90% confidence interval for the mean number of passengers bumped using software package 2.
(c) Find a 95% confidence interval for the difference in the mean number of passengers bumped using software packages 1 and 2.Isthere a difference in their means at the 5% level of significance?
(d) Which software package would you choose?
|
Software Package
|
Passenger Bumped
|
|
1
|
12
|
14
|
9
|
|
2
|
2
|
4
|
3
|
|
3
|
10
|
9
|
6
|
|
4
|
7
|
6
|
7
|