A study published in the Journal of American Academy of Business, Cambridge (March 2002) examined whether the perception of the quality of service at five-star hotels in Jamaica differed by gender. Hotel guests were randomly selected from the lobby and restaurant areas and asked to rate 10 service-related items (e.g., €œthe personal attention you received from our employees€). Each item was rated on a five-point scale (1 = €œmuch worse than I expected,€ 5 = €œmuch better than I expected€), and the sum of the items for each guest was determined. A summary of the guest scores is provided in the following table:

a. Construct a 90% confidence interval for the difference between the population mean service-rating scores given by male and female guests at Jamaican five-star hotels.
b. Use the interval you constructed in part a to make an inference about whether the perception of the quality of service at five-star hotels in Jamaica differs by gender.
c. Is there evidence of a difference in the variation of guest scores for males and females? Test using α = .10.

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Mean Standard Gender Sample Size Sce Deviation Males Females 127 114 39.08 38.79 6.73 6.94