A study examined whether the perception of service quality atfive - star hotels
ID: 2954912 • Letter: A
Question
A study examined whether the perception of service quality atfive-star hotels in. Jamaica differed bygender. Hotel guests were randomly selected from the lobbyand restaurant areas and asked to rate ten service-related items(e.g. the personal attention you received from our employees). Eachitem 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 eachguest was determined. A summary of the test scores are providedbelow:Gender SampleSize MeanScore Std. Dev
Males 127 39.08 6.73
Females 114 38.79 6.94
a. Construct 90% confidence interval for the difference between thepopulation mean service-rating scores given my male and femaleguests.
b. Use the interval in part (a) to make an inference about whetherthe perception of service quality at five-star hotels in Jamaicadiffers by gender.
Explanation / Answer
(a) Given =0.1, Z(0.05)=1.645 (check normal table) The 90% CI is (xbar1-xbar2) ± Z*[s1^2/n1 + s2^2/n2] --> (39.08-38.79) ± 1.645*sqrt(6.73^2/127 +6.94^2/114) --> ( -1.162, 1.742) (b) Since this interval includes 0, we can not conclude thatthe perception of service quality at five-star hotels inJamaica differs by gender.
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