Two machines are used to fill plastic bottles with dishwashing detergent. The standard deviations of fill volume are known to be ?1 = 0.10 fluid ounces and ?2 = 0.15 fluid ounces for the two machines, respectively. Two random samples of ?1 = 12 bottles from machine 1 and ?2 = 10 bottles from machine 2 are selected, and the sample mean fill volumes are ?̅1 = 30.87 fluid ounces and ?̅2 = 30.68 fluid ounces. Assume normality. (a) Test the hypothesis that both machines fill to the same mean volume. Use ? = 0.05. (b) What is the ?-value of the test in part (a)?
Two machines are used to fill plastic bottles with dishwashing detergent. The standard deviations of fill volume are known to be ?1 = 0.10 fluid ounces and ?2 = 0.15 fluid ounces for the two machines, respectively. Two random samples of ?1 = 12 bottles from machine 1 and ?2 = 10 bottles from machine 2 are selected, and the sample mean fill volumes are ?̅1 = 30.87 fluid ounces and ?̅2 = 30.68 fluid ounces. Assume normality. (a) Test the hypothesis that both machines fill to the same mean volume. Use ? = 0.05. (b) What is the ?-value of the test in part (a)?
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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Two machines are used to fill plastic bottles with dishwashing detergent. The
standard deviations of fill volume are known to be ?1 = 0.10 fluid ounces and ?2 =
0.15 fluid ounces for the two machines, respectively. Two random samples of ?1 = 12
bottles from machine 1 and ?2 = 10 bottles from machine 2 are selected, and the
sample mean fill volumes are ?̅1 = 30.87 fluid ounces and ?̅2 = 30.68 fluid ounces.
Assume normality. (a) Test the hypothesis that both machines fill to the same mean
volume. Use ? = 0.05. (b) What is the ?-value of the test in part (a)?
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