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1. Table C10-1 shows the results of a survey that Omega hired a marketing firm t

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Question

1. Table C10-1 shows the results of a survey that Omega hired a marketing firm to conduct to compare Omega with competing airlines. The survey was given to passengers of 4 different airlines regarding their level of overall satisfaction with the airline. The responses were aggregated so that a single score in the table represents the sum of satisfaction scores of all surveyed passengers of a single flight. The highest possible score is 100, reflecting perfect satisfaction. Omega thinks that probably the mean satisfaction scores are not the same for the 4 airlines. a. State the null hypothesis and alternative hypothesis. b. Find the mean for each airline's satisfaction score, and find (overall mean of all scores) Applying the F distribution at the 95% confidence level (0.05 significance), create an ANOVA table that shows the computed value of F and critical F (F crit) for the model- Highlight the F and F crit, as well as the p-value. Write 1-2 sentences interpreting the p-value and the results. C. HINT: Use the Data Analysis tool in Excel for ANOVA: Single Factor' to build your ANOVA table... it's single factor because you are comparing 4 treatments (4 airlines) on a single factor of Overall Satisfaction.

Explanation / Answer

a)

Ho : Mean of all airlines satisfaction level is same

Vs

H1 : Mean of At lest one airline satisfaction level is different

Using Minitab

C)

One-way ANOVA: V-west, JJA, All-Ways, Yolo

Method

Null hypothesis All means are equal
Alternative hypothesis At least one mean is different
Significance level ? = 0.05

Equal variances were assumed for the analysis.

Factor Information

Factor Levels Values
Factor 4 V-west, JJA, All-Ways, Yolo


Analysis of Variance

Source DF Adj SS Adj MS F-Value P-Value
Factor 3 538.1 179.35 5.58 0.005
Error 25 803.2 32.13
Total 28 1341.3


Model Summary

S R-sq R-sq(adj) R-sq(pred)
5.66833 40.11% 32.93% 18.07%

Conclusion : Here P-value is 0.005 which less than level of significance 0.05 so we Reject Ho.

That means Mean of At least one airline satisfaction level is different

b)
Means

Factor N Mean StDev 95% CI
V-west 7 82.00 7.05 (77.59, 86.41)
JJA 6 77.50 7.06 (72.73, 82.27)
All-Ways 8 74.38 4.50 (70.25, 78.50)
Yolo 8 70.38 4.03 (66.25, 74.50)

Pooled StDev = 5.66833