A travel magazine conducts an annual survey where readers rate
their favorite cruise ship. Ships are rated on a 10 point scale,
with higher values indicating better service. A sample of 30 ships
that carry fewer than 500 passengers resulted in a average rating
of 6.73 with standard deviation 0.6. A sample of 25 ships that
carry more than 500 passengers resulted in an average rating of
7.09 with standard deviation 0.75.
Give a 99.8% confidence interval of the difference between the population mean ratings for smaller ships and the population mean ratings for larger ships. (Note, the order of subtraction matters...look at the wording carefully.)
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