The Baltimore Steel and Pipe Company recently developed a new pipe product for a customer.

According to specifications, the pipe is supposed to have an average outside diameter of 2.00 inches with a standard deviation equal to 0.10 inch, and the outside diameters are to be normally distributed.

Before going into full-scale production, the company selected a random sample of 30 sections of pipe from the initial test run. The following data were recorded:

Pipe Section Diameter

(inches) Pipe Section Diameter

(inches)

1 2.04 16 1.96 2 2.13 17 1.89 3 2.07 18 1.99 4 1.99 19 2.13 5 1.90 20 1.90 6 2.06 21 1.91 7 2.19 22 1.95 8 2.01 23 2.18 9 2.05 24 1.94 10 1.98 25 1.93 11 1.95 26 2.08 12 1.90 27 1.82 13 2.10 28 1.94 14 2.02 29 1.96 15 2.11 30 1.81

a. Using a significance level of 0.01, perform the appropriate test.

b. Based on these data, should the company conclude that it is meeting the product specifications? Explain your reasoning.