2. A consumer product company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation, o, of 10 millimeters. The company wishes to test the following hypotheses using the results of n=25 samples: Ho: μ = 160, H1: μ > 160 The critical region to reject the null hypothesis is X > 165 (a) Find the type I error probability a. (b) Find the probability of type II error if the true mean form height is 163 millimeters.
2. A consumer product company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation, o, of 10 millimeters. The company wishes to test the following hypotheses using the results of n=25 samples: Ho: μ = 160, H1: μ > 160 The critical region to reject the null hypothesis is X > 165 (a) Find the type I error probability a. (b) Find the probability of type II error if the true mean form height is 163 millimeters.
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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Expert Solution
Step 1
Given that
Sample size =25
Standard deviation =10
Null Hypothesis H0:μ=160
Alternative Hypothesis Ha:μ>160
Critical Region: reject null hypothesis if x̄>165
We have to find
a ..Type 1 error
b .. probability of type 2 error if the true mean height is 163 millimetres
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