An aircraft manufacturer requires to buy aluminum sheets with an average thickness of 0.05 inch. The manufacturer knows that significantly thinner sheets would be unsafe and considerably thicker sheets would be too heavy. A random sample of 100 sheets from a potential supplier is collected. The thickness of each sheet in this sample is measured (in inches) and recorded in the Problem 4 worksheet of the Homework 8.xlsx spreadsheet.
a. Use the p-value approach to determine if the aircraft manufacturer should buy aluminum sheets from the supplier.
b. For which values of the sample mean would the aircraft manufacturer decide to buy sheets from this supplier, assuming a = 0.05?