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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?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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?
Transcribed Image Text: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?
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