Question

you want to buy a washing machine, and a salesperson tells you that the mean repair costs for model a and model b are equal. you research the repair costs. the mean repair cost of 23 model a washing machines is $212. assume the population standard deviation is $17. the mean repair cost of 20 model b washing machines is $219. assume the population standard deviation is $24. at α=0.01, can you reject the salespersons claim? assume the samples are random and independent, and the populations are normally distributed. complete parts (a) through (e). (a) identify the claim and state h₀ and hₐ. what is the claim? a. the mean repair cost for model a is greater than model b. b. the mean repair costs for model a and model b are equal. c. the mean repair costs for model a and model b are different. d. the mean repair cost for model a is less than model b.

Explanation:

The salesperson's claim is that the mean repair costs for Model A and Model B are equal. We check the options: Option A claims Model A's mean is greater, Option C claims they are different, Option D claims Model A's mean is less. Only Option B matches the salesperson's claim.

Answer:

B. The mean repair costs for Model A and Model B are equal.