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 1.102mmand the standard...

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 1.102mmand 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 H0 :μ ≤ 1.1 versus H1 :μ > 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.