Physical Sciences
Kiln-dried solid grade A teak wood should have a moisture content of no more than 12%. A furniture company recently purchased a large shipment of this wood for use in constructing dining room sets. Thirty-seven pieces of teak wood were randomly selected and carefully measured for moisture content. The sample mean moisture content was x‾ = 12.3%. Assume σ = 1.25.
a. Is there any evidence to suggest the true population mean moisture content is greater than 12%? Use a = 0.01.
b. Find the probability of a type II error if the true population mean moisture content is 12.2%; that is, find β(12.2).