Condé Nast Traveler conducts an annual survey in which readers rate their favorite cruise ship. All ships are rated on a

[answerhappygod]

Condé Nast Traveler conducts an annual survey inwhich readers rate their favorite cruise ship. All ships are ratedon a 100-point scale, with higher values indicating better service.A sample of 37 ships that carry fewer than 500 passengers resultedin an average rating of 85.32, and a sample of 43 ships that carry500 or more passengers provided an average rating of 81.4. Assumethat the population standard deviation is 4.57 for ships that carryfewer than 500 passengers and 3.97 for ships that carry 500 or morepassengers.
Round your all answers to two decimal places.
a. What is the point estimate of thedifference between the population mean rating for ships that carryfewer than 500 passengers and the population mean rating for shipsthat carry 500 or more passengers?
b. At 95% confidence, what is the marginof error?
c. What is a 95% confidence intervalestimate of the difference between the population mean ratings forthe two sizes of ships? Use z-table. _to_