TABLE 11-1
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 as few 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 obtained, which gives rise to the following Excel output:

-Referring to Table 11-1, at a significance level of 1%,
A) there is insufficient evidence to conclude that the mean number of customers bumped by the 4 packages are not all the same.
B) there is insufficient evidence to conclude that the mean number of customers bumped by the 4 packages are all the same.
C) there is sufficient evidence to conclude that the mean number of customers bumped by the 4 packages are not all the same.
D) there is sufficient evidence to conclude that the mean number of customers bumped by the 4 packages are all the same.

Question

TABLE 11-1
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 as few 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 obtained, which gives rise to the following Excel output:
 
-Referring to Table 11-1, at a significance level of 1%,
A) there is insufficient evidence to conclude that the mean number of customers bumped by the 4 packages are not all the same. 
B) there is insufficient evidence to conclude that the mean number of customers bumped by the 4 packages are all the same. 
C) there is sufficient evidence to conclude that the mean number of customers bumped by the 4 packages are not all the same. 
D) there is sufficient evidence to conclude that the mean number of customers bumped by the 4 packages are all the same.

Quizplus · Accepted Answer

The null hypothesis for this test is that the means of the number of passengers bumped are all equal for the four packages (H0: μ1=μ2=μ3=μ4). The alternative hypothesis is that at least one of the means is different (Ha: the means are not all equal). Using a one-way ANOVA test with a significance level of 1%, we obtain an F-statistic of 4.212 and a p-value of 0.016. Since the p-value is less than 0.01, we reject the null hypothesis and conclude that there is sufficient evidence to suggest that the mean number of customers bumped by the four packages are not all the same. Therefore, the best choice is option C.

TABLE 11-1 an Airline Wants to Select a Computer Software Package for Package