Question: Rating service at five-star hotels. 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 ten 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 are provided in the next table. Approximate using the z distribution.

1. 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.
2. Use the interval, part a, to make an inference about whether the perception of service quality at five-star hotels in Jamaica differs by gender.

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