Question

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 55 ships that carry fewer than 500 passengers resulted in a average rating of 6.36 with standard deviation 0.63. A sample of 25 ships that carry more than 500 passengers resulted in an average rating of 6.12 with standard deviation 0.78.

Give a 95% 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.)

±±  Rounded to 2 decimal places.

Answer 1

Let sample 1 be the ships that carry fewer than 500 passengers

Let sample 2 be the ships that carry more than 500 passengers