The pH of an acid solution used to etch aluminum varies somewhat from batch to batch. In a sample of 50 batches the mean pH was 2.6, with a standard deviation of 0.3. Let μ represent the mean pH for...

The pH of an acid solution used to etch aluminum varies somewhat from batch to batch. In a sample of

50 batches the mean pH was 2.6, with a standard deviation of 0.3. Let μ represent the mean pH for batches of this solution.

a. Find the P-value for testing H0 :μ ≤ 2.5 versus H1 :μ > 2.5.

b. Either the mean pH is greater than 2.5 mm, or the sample is in the most extreme % of its distribution.