A travel magazine conducts an annual survey where readers ratetheir favorite cruise ship. Ships are rated on a 10 point scale,with higher values indicating better service. A sample of 55 shipsthat carry fewer than 500 passengers resulted in a average ratingof 6.36 with standard deviation 0.63. A sample of 25 ships thatcarry more than 500 passengers resulted in an average rating of6.12 with standard deviation 0.78.
Give a 95% confidence interval of the difference between thepopulation mean ratings for smaller ships and the population meanratings for larger ships. (Note, the order of subtractionmatters...look at the wording carefully.)
±± Rounded to 2 decimal places.
