The mean content of coffee cans filled on a production line is being studied. Standards specify that the mean contents must be 16.0 oz. From experience, it is known that the standard deviation of the can content is 0.1 oz. The hypotheses are Ho: μ=16.0 v.s. H₁: µ #16.0. A random sample of n cans is to be used, and the type I error probability is specified as α=0.05. (a) When n = 4, what is the type II error if the true mean content is μ₁=16.2 oz? (b) If we want to control the type II error below 10% when μ₁ = 16.1 oz, what is the minimal value of n?

The mean content of coffee cans filled on a production line is being studied. Standards specify that the mean contents must be 16.0 oz. From experience, it is known that the standard deviation of the can content is 0.1 oz. The hypotheses are Ho: μ=16.0 v.s. H₁: µ #16.0. A random sample of n cans is to be used, and the type I error probability is specified as α=0.05. (a) When n = 4, what is the type II error if the true mean content is μ₁=16.2 oz? (b) If we want to control the type II error below 10% when μ₁ = 16.1 oz, what is the minimal value of n?

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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