An airline wants to select a computer software package for its reservation syste

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. Perform an ANOVA in order to test the difference in mean number of passengers bumped every week by the four packages.

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

1)the critical value of the test statistic is:

2)the observed value of the test statistic is:

3)the p value is:

Explanation / Answer

The statistical software output for this problem is:

Analysis of Variance results:
Data stored in separate columns.

Column statistics

ANOVA table

Hence,

1) Critical value = 3.239 [Assuming 0.05 significance level and rounding off to 3 decimal places]

2) Test statistic = 8.305 [Rounding off to 3 decimal places]

3) p - Value = 0.0015

Column n Mean Std. Dev. Std. Error Package 1 5 12.4 2.7018512 1.2083046 Package 2 5 3.4 2.3021729 1.029563 Package 3 5 9.4 2.1908902 0.9797959 Package 4 5 9.2 4.0865633 1.8275667

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