Question

Condé Nast Traveler conducts an annual survey in which readers rate their favorite cruise ship. All ships are rated on a 100-point scale, with higher values indicating better service. A sample of 37 ships that carry fewer than 500 passengers resulted in an average rating of 85.36, and a sample of 44 ships that carry 500 or more passengers provided an average rating of 81.40. Assume that the population standard deviation is 4.55 for ships that carry fewer than 500 passengers and 3.97 for ships that carry 500 or more passengers.

At a α = 0.01, what is your conclusion?

Group of answer choices

A.Reject H0, since p-value < .01

B.Do not reject H0, since p-value < .01

C.Reject H0, since p-value > .01

D.Do not reject H0, since p-value > .01

Answer 1

u Rating of ith ship carrying <500 passanyes 2 X 2i Rating of 9th ship carrying 7500 passargus n=37 ; ne=44. gen=8536 m2 = 81140 f = 9:55 =3.97 2=0.01 My Ma Population mean ratings of sheps carrying <500 and Dron 7,500 passangers respectively. go test; Ho: Me=da Holanda zo as we He Me & la hirde, a Mato m 34 -22 - 0 HN(0,1) z = na . old 85.36-811405 4.552 + 3.972 = 4.1337 pvalue = p [12174:1337] = a* PHO [Z >4:13377