Question

7) The Carpet Corner in Gladstone, Missouri, offers a variety of carpets, wood flooring, and tiles. Sales records indicate that the mean amount of carpet installed in a wall-to-wall carpeted residential home by crews from this store is 1,250 square feet. The store manager, Frank Vida, believes that when there is a sale, customers translate the savings into carpeting a larger area. A random sample of 45 wall-to-wall carpet purchases was selected during a sale. The sample mean was

*x* = 1,305 square

feet. Assume that

*σ* = 155 square

feet.

a) Conduct a one-sided, right-tailed test of
*H*_{0}: *μ* = 1,250 versus
*H*_{a}: *μ* > 1,250. Is there
any evidence to suggest the true mean square footage is larger
during a sale? Use *α* = 0.01. Calculate the test statistic.
(Round your answer to four decimal places.)

* z* =

b) Find the probability of a Type II error if the true mean
square footage during a sale is *μ*_{a} = 1,325;
that is, find *β*(1,325). (Round your answer to four decimal
places.)

*β*(1,325) =

Answer #1

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 4 minutes ago

asked 10 minutes ago

asked 14 minutes ago

asked 17 minutes ago

asked 17 minutes ago

asked 26 minutes ago

asked 43 minutes ago

asked 51 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago