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 20 Model A washing machines is $211. Assume thepopulation standard deviation is $20. The mean repair cost of 21 Model B washing machines is $222. Assume the population standard deviation is $25. At a = 0.01, can you reject the salesperson's claim? Assume the samples are random andindependent, and the populations are normally distributed. Complete parts (a) through (e).(a) Identify the claim and state H, 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 different.C. The mean repair cost for Model A is less than Model B.D. The mean repair costs for Model A and Model B are equal.LetH1be the mean repair cost for Model A and let µ, be the mean repair cost for Model B. What are Ho and H,?O A. Ho: H1 < H2Ha: H12 H2B. Họ: H1 SH2Ha: H1> H2C. Ho: H12 H2Ha: H1 H2Ha: H1 SH2(b) Find the critical value(s) and identify the rejection region(s).The critical value(s) is/are(Round to two decimal places as needed. Use a comma to separate answers as needed.)

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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 20 Model A washing machines is $211. Assume the
population standard deviation is $20. The mean repair cost of 21 Model B washing machines is $222. Assume the population standard deviation is $25. At a = 0.01, can you reject the salesperson's 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 H, 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 different.
C. The mean repair cost for Model A is less than Model B.
D. The mean repair costs for Model A and Model B are equal.
Let
H1
be the mean repair cost for Model A and let µ, be the mean repair cost for Model B. What are Ho and H,?
O A. Ho: H1 < H2
Ha: H12 H2
B. Họ: H1 SH2
Ha: H1> H2
C. Ho: H12 H2
Ha: H1 <H2
O D. Ho: H1 # H2
Ha: H1 = H2
E. Ho: H1 = H2
Ha: H1 # H2
O F. Ho: H1> H2
Ha: H1 SH2
(b) Find the critical value(s) and identify the rejection region(s).
The critical value(s) is/are
(Round to two decimal places as needed. Use a comma to separate answers as needed.)

Expert Solution

Step 1

(a)

Let $μ_{1}$ denotes the population mean repair cost of Model A washing machines, and $μ_{2}$ denotes the population mean repair cost of Model B washing machines. The claim of the test is that The mean repair cost for Model A and Model B are equal. The original claim indicates that the mean repair costs for Model A and Model B are equal which is represented in null hypothesis. The hypothesis is,

Null hypothesis:

$H_{0} : μ_{1} = μ_{2}$

Alternative hypothesis:

$H_{a} : μ_{1} \neq μ_{2}$ .

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