An airline wants to select a computer software package for its reservation system. Four software packages (A, B, C, and D) are commercially available. The airline will choose the package that bumps as few passengers, on the average, 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 was recorded, and the Excel output for the partial Single-Factor ANOVA is shown below. ANOVA: Single Factor SUMMARY Groups Package A Package B Package C Package D Count Sum Average Variance 62 12.4 73 17 3.4 5.3 5. 47 9.4 4.8 46 9.2 16.7 ANOVA Source of Variation Between Groups Within Groups SS df MS F crit Total 348.8 What is the value of the Tukey HSD (critical range) for the post-hoc multiple pairwise comparisons at a 0.05 level of significance? (final answer to 4 decimal places)

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An airline wants to select a computer software package for its reservation
system. Four software packages (A, B, C, and D) are commercially
available. The airline will choose the package that bumps as few
passengers, on the average, 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 was recorded, and the Excel
output for the partial Single-Factor ANOVA is shown below.
ANOVA: Single
Factor
SUMMARY
Groups
Package A
Package B
Package C
Package D
Count
Average Variance
12.4
Sum
62
7.3
17
3.4
5.3
47
9.4
4.8
46
9.2
16.7
ANOVA
Source of
Variation
Between
Groups
Within
Groups
SS
dr
MS
F cit
Total
348.8
What is the value of the Tukey HSD (critical range) for the post-hoc
multiple pairwise comparisons at a 0.05 level of significance? (final answer
to 4 decimal places)
55
Transcribed Image Text:An airline wants to select a computer software package for its reservation system. Four software packages (A, B, C, and D) are commercially available. The airline will choose the package that bumps as few passengers, on the average, 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 was recorded, and the Excel output for the partial Single-Factor ANOVA is shown below. ANOVA: Single Factor SUMMARY Groups Package A Package B Package C Package D Count Average Variance 12.4 Sum 62 7.3 17 3.4 5.3 47 9.4 4.8 46 9.2 16.7 ANOVA Source of Variation Between Groups Within Groups SS dr MS F cit Total 348.8 What is the value of the Tukey HSD (critical range) for the post-hoc multiple pairwise comparisons at a 0.05 level of significance? (final answer to 4 decimal places) 55
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