Two large home improvement stores advertise that they sell their paint at the same average price per gallon.Arandom sample of 25 cans from storeYhad a standard deviation of $5.21, and store Z had a standard deviation of $4.08 based on a sample of 20 cans. At a 0.05 can we conclude that the variances are different? How much less would store Z’s standard deviation have to be in order to conclude a difference?
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results.