1. Two machines are used for filling plastic bottles with a net volume of 16.0 ounces. The fill volume canbe assumed normal, with a standard deviation ₁ = 0.020 and ₂ = 0.025 ounces. A quality engineersuspects that both machines fill to the same mean net volume, whether or not this volume is 16.0 ounces.A random sample of 10 bottles taken from the output of each machine is as follows;Machine 1Machine 216.03 16.01 16.02 16.0316.04 15.96 15.9716.0416.05 15.98 15.9616.0216.05 16.02 16.0116.0116.0215.99 15.9916.00a. Do you think the engineer is correct? Use a = 0.05. What is the P-value for this test?b. Calculate a 95% confidence interval on the difference in means. Provide a practicalinterpretation of this interval.C. What is the power of the test in part (a) for a true difference in means of 0.04?d. Assuming equal sample sizes, what sample size should be used to ensure that ß = 0.05 if the truedifference in means is 0.04? Assume α = 0.05.

Given a random sample of 10 bottles taken from the output of Machine 1 and Machine 2 as Machine…

Answered: 1. Two machines are used for filling…

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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