A machine fills 'one litre' water bottles. When the machine is working correctly the contents of the bottles are normally distributed with mean 1.002 litres and standard deviation 0.002 litres. The performance of the machine is tested at regular intervais by taking a sample of 9 bottles and calculating their mean content. If this mean content falls below a certain value, it is assumed that the machine is not performing correctly and it is stopped. (a) Set up null and altemative bypotheses for a test of whether the machine is working correctly. (b) For a test at the 5% significance level, find the rejection region taking the sample mean as the test statistic. (G) Giy the value for the probability of a Type I error.

A machine fills 'one litre' water bottles. When the machine is working correctly the contents of the bottles are normally distributed with mean 1.002 litres and standard deviation 0.002 litres. The performance of the machine is tested at regular intervais by taking a sample of 9 bottles and calculating their mean content. If this mean content falls below a certain value, it is assumed that the machine is not performing correctly and it is stopped. (a) Set up null and altemative bypotheses for a test of whether the machine is working correctly. (b) For a test at the 5% significance level, find the rejection region taking the sample mean as the test statistic. (G) Giy the value for the probability of a Type I error.

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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