Question: The building specifications in a certain city require that the sewer pipe used in residential areas have a mean breaking strength of more than 2,500

The building specifications in a certain city require that the sewer pipe used in residential areas have a mean breaking strength of more than 2,500 pounds per lineal foot. A manufacturer who would like to supply the city with sewer pipe has submitted a bid and provided the following additional information: An independent contractor randomly selected seven sections of the manufacturer’s pipe and tested each for breaking strength. The results (pounds per lineal foot) follow:

SEWER 2,610 2,750 2,420 2,510 2,540 2,490 2,680

a. Is there sufficient evidence to conclude that the manufacturer’s sewer pipe meets the required specifications? Use a significance level of α = .10.
b. Find the value of β for μ_a = 2575. What is the power of the test?
c. Find the value of β for μ_a = 2800.
d. Find the power of the test for μ_a = 2800.

SEWER 2,610 2,750 2,420 2,510 2,540 2,490 2,680

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