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 H0: ≤ 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.

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 H0: ? 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.

Step by step solution:

Step 1:

Given,

Sample size,

Mean,

Standard deviation,