Let X equal the number of milliliters of a liquid in a bottle that has a label volume of 350 ml. Assume that the distribution of X is N(u. 4). To test the null hypothesis Ho: 355 against the alternative hypothesis H₁: <355, let the critical region be defined by C = {x: 354.05), where is the sample mean of the contents of a random = sample of n = 12 bottles. (a) Find the power function K(μ) for this test. (b) What is the (approximate) significance level of the test?

Let X equal the number of milliliters of a liquid in a bottle that has a label volume of 350 ml. Assume that the distribution of X is N(u. 4). To test the null hypothesis Ho: 355 against the alternative hypothesis H₁: <355, let the critical region be defined by C = {x: 354.05), where is the sample mean of the contents of a random = sample of n = 12 bottles. (a) Find the power function K(μ) for this test. (b) What is the (approximate) significance level of the test?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 40CR

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