Find the probability of a type ii error

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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).

Reference no: EM131432477

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