A company buys metal fasteners in large lots. The mean shear strength must be at least 10,000 psi in order for the lot to be acceptable. This may be formulated as a hypothesis testing problem with H0: μ≤10,000 vs H1: μ>10,000. A sample of 10 fasteners is tested, and if the sample mean exceeds 10,500 psi, then H0 is rejected and the lot is accepted. Assume σ=1000 psi. If the true μ=11,000, what is error type II?

A company buys metal fasteners in large lots. The mean shear strength must be at least 10,000 psi in order for the lot to be acceptable. This may be formulated as a hypothesis testing problem with H0: μ≤10,000 vs H1: μ>10,000. A sample of 10 fasteners is tested, and if the sample mean exceeds 10,500 psi, then H0 is rejected and the lot is accepted. Assume σ=1000 psi. If the true μ=11,000, what is error type II?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 32PPS

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