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ANOVA for rating of cruise ships

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Traveler conducts an annual survey in which readers rate their favorite cruise ships. Ratings are provided for small ships (carrying up to 500 passengers) medium ships (carrying 500 to 1500 passengers) and large ships (carrying a minimum of 1500 passengers). The following data shows the service ratings for eight randomly selected small ships, eight randomly selected large ships. All ships are rated on a 100-point scale, with higher values indicated better service (traveler Feb 2003)

small ships medium ships large ships

A. 90.5 A. 91.1 A. 89.2
B. 78.2 B. 98.9 B. 90.2
C. 92.3 C. 94.2 C. 85.9
D. 95.7 D. 84.3 D. 84.2
E. 94.1 E. 84.8 E. 90.2
F. 100 F. 89.2 F. 80.6
G. 91.8 G. 86.4 G. 75.8
H. 95 H. 88.3 H. 82.3

Use a=.05 to test for any significant difference in the mean service ratings among the three sizes of cruise ships.

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The solution provides step-by-step method for the calculation of ANOVA for rating of cruise ships. Formula for the calculation and Interpretations of the results are also included.

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Finding the mean
Traveler conducts an annual survey in which readers rate their favorite cruise ships. Ratings are provided for small ships (carrying up to 500 passengers) medium ships (carrying 500 to 1500 passengers) and large ships (carrying a minimum of 1500 passengers). The following data shows the service ratings for eight randomly selected small ships, eight randomly selected large ships. All ships are rated on a 100-point scale, with higher values indicated better service (traveler Feb ...

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