An airline wants to select a computer software package for its reservation system.Four software packages (1,2,3,and 4)are commercially available.The airline will choose the package that bumps the fewest mean number of passengers as possible during a month.An experiment is set up in which each package is used to make reservations for 5 randomly selected weeks.(A total of 20 weeks was included in the experiment. )The number of passengers bumped each week is given below.How should the data be analyzed?
Package 1: 12,14,9,11,16
Package 2: 2,4,7,3,1
Package 3: 10,9,6,10,12
Package 4: 7,6,6,15,12

Question

An airline wants to select a computer software package for its reservation system.Four software packages (1,2,3,and 4)are commercially available.The airline will choose the package that bumps the fewest mean number of passengers as possible during a month.An experiment is set up in which each package is used to make reservations for 5 randomly selected weeks.(A total of 20 weeks was included in the experiment. )The number of passengers bumped each week is given below.How should the data be analyzed? 
Package 1: 12,14,9,11,16
Package 2: 2,4,7,3,1
Package 3: 10,9,6,10,12
Package 4: 7,6,6,15,12

Quizplus · Accepted Answer

Since the airline wants to choose the software package with the fewest mean number of passengers bumped, we need to compare the means of the number of passengers for each package. A one-way ANOVA F test is the appropriate statistical test to compare the means of multiple groups. Therefore, the best choice is B. F test for differences in variances (A) is not needed since we are not testing for differences in variance. T test for differences in means (C) is not appropriate since there are more than two groups. T test for mean difference (D) is not appropriate since we are comparing means across multiple groups.

An Airline Wants to Select a Computer Software Package for Its