SCENARIO 1: An airline wants to select a computer software package for its reser

Question

SCENARIO 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 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, 25

1. the alternative hypothesis is:

D. The four package means are different in the sample

2. the observed value of the test statistic is

D. 3.92

3. at 5% level of significance the critical value of the test statistic is

D. 0.03

4. the p value is

D. 3.24

5.  at 1% level of significance the decision is

A. The four package means are different in the population B. The four package means are not different in the sample C. The four package means are not different in the population

D. The four package means are different in the sample

2. the observed value of the test statistic is

A. 3.24 B. 0.03 C. None of the other choices is correct

D. 3.92

3. at 5% level of significance the critical value of the test statistic is

A. 3.24 B. 3.92 C. None of the other choices is correct

D. 0.03

4. the p value is

A. 0.03 B. 3.92 C. None of the other choices is correct

D. 3.24

5.  at 1% level of significance the decision is

A. None of the other choices is correct B. Fail to reject null hypothesis, means are not different C. Reject null hypothesis, means are not different D. Reject null hypothesis, means are different

Explanation / Answer

from above

hence

1) A. The four package means are different in the population

2) the observed value of the test statistic is 3.92

3)at 5% level of significance the critical value of the test statistic is 3.24

4) the p value is 0.03

5) at 1% level of significance the decision is   B. Fail to reject null hypothesis, means are not different

Groups Count Sum Average Variance Package 1 5 62 12.4 7.3 Package 2 5 17 3.4 5.3 Package 3 5 47 9.4 4.8 Package 4 5 59 11.8 68.7 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 253.35 3 84.45 3.923345 0.028271 3.238872 Within Groups 344.4 16 21.525 Total 597.75 19

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