A study published in The Journal of American Academy of Business, Cambridge (March 2002) examined whether the perception of service quality 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., "The personal attention you received from our employees"). Each item was rated on a 5-point scale (1 = "much worse than I expected," 5 = "much 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 table.

a. Construct a 90% confidence interval for the difference between the populations mean service-rating scores given by male and female guests at Jamaican five-star hotels.
b. Conduct a test to determine if the service-rating score variances differ by gender. Use α = .10
c. Use the results, parts a and b, to make an inference about whether the perception of service quality at five-star hotels in Jamaica differs by gender.

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