A real estate agency says that the mean home sales price in Casper, Wyoming is the same as in Cheyenne, Wyoming. The mean home sales price for 35 homes in Casper, Wyoming is $349,237. Assume the population standard deviation is $153,377. The mean home sales price for 41 homes in Cheyenne, Wyoming is $435,244. Assume the population standard deviation is $136,259. At α=0.05, is there enough evidence to reject the agency's claim? Complete parts (a) through (e).
(a) Identify the claim and state H0 and Ha. What is the claim?
A. The mean home sales price in Casper, Wyoming is the same as in Cheyenne, Wyoming.
B. The mean home sales price in Casper, Wyoming is less than in Cheyenne, Wyoming.
C. The mean home sales price in Casper, Wyoming is not the same as in Cheyenne, Wyoming.
D. The mean home sales price in Casper, Wyoming is greater than in Cheyenne, Wyoming.
