Chapter 6.1, Problem 2E

A simple random sample consists of 65 lengths of piano wire that were tested for the amount of extension under a load of 30 N. The average extension for the 65 lines was 1.102 mm and the standard deviation was 0.020 mm. Let µ represent the mean extension for all specimens of this type of piano wire.

a.    Find the P-value for testing $H_0:\mu \le 1.1$ versus $H_1:\mu >1.1$.

b.    Either the mean extension for this type of wire is greater than 1.1 mm. or the sample is in the most extreme _____% of its distribution.