A process for making steel pipe is under control if the diameter of the pipe has mean 3.0 in. with standard deviation of no more than 0.0250 in. To check whether the process is under control, a random sample of size n= 30 is taken each day and the null hypothesis µ = 3.0 is rejected if X is less than 2.9960 or greater than 3.0040. Find %3D (a) the probability of type I error; (b) the probability of type II error when µ = 3.0050 in. A Ssume a =0 0250 in.

A process for making steel pipe is under control if the diameter of the pipe has mean 3.0 in. with standard deviation of no more than 0.0250 in. To check whether the process is under control, a random sample of size n= 30 is taken each day and the null hypothesis µ = 3.0 is rejected if X is less than 2.9960 or greater than 3.0040. Find %3D (a) the probability of type I error; (b) the probability of type II error when µ = 3.0050 in. A Ssume a =0 0250 in.

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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Estimation

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Question

A process for making steel pipe is under control if the
diameter of the pipe has mean 3.0 in. with standard deviation of
no more than 0.0250 in. To check whether the process is under
control, a random sample of size n= 30 is taken each day and the
null hypothesis µ = 3.0 is rejected if X is less than 2.9960 or
greater than 3.0040. Find
(a) the probability of type I error;
(b) the probability of type II error when u= 3.0050 in.
Assume o= 0.0250 in.

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