An airline wants to select a computer software package for its reservation system.Four software packages (1,2,3,and 4)are commercially available.An experiment is set up in which each package is used to make reservations for 5 randomly selected weeks and data on the number of passengers that are bumped over a month are collected.(A total of 20 weeks was included in the experiment. )The variance on the number of passengers that are bumped is found to be roughly the same for the 4 packages.Which of the following tests will be the most appropriate to find out if the mean number of passengers being bumped over a month is the same across the 4 packages?
A)Paired t test.
B)Pooled-variance t test.
C)One-way ANOVA F test for differences among more than two means.
D)Two-way ANOVA F test for interaction effect.

Question

Quizplus · Accepted Answer

One-way ANOVA F test for differences among more than two means is the most appropriate test in this situation because it can compare the means of more than two groups (in this case, 4 software packages) to determine if there is a statistically significant difference in the number of passengers being bumped. Additionally, the fact that the variance is roughly the same for all 4 packages suggests that the assumption of equal variances required for the ANOVA test is satisfied. The paired t-test is used when the same set of subjects is measured under two different conditions, which is not the case here. The pooled-variance t-test is only appropriate when comparing two groups, not multiple groups. The two-way ANOVA F test would be appropriate if there were two independent variables being tested, but there is only one independent variable (the software package).

An Airline Wants to Select a Computer Software Package for Its