Perform the following exercise in minitab. (the whole process in pictures)Only the exercises B) and C)Note:(the final answers are in the other image) A consumer products company is formulating anew shampoo and is interested in foam height (in millimeters).Foam height is approximately normally distributed and hasa standard deviation of 20 millimeters. The company wishesto test Ho:µ = 175 millimeters versus Hj:µ>175 millimeters,using the results of n = 10 samples.(a) Find the type I error probability a if the critical region isx>185.(b) What is the probability of type II error if the true meanfoam height is 185 millimeters?(c) Find B for the true mean of 195 millimeters. a α-0.057053,ь.В — 0.5,c. B = 0.057053.

Type II error is to not reject the null hypothesis, when it is actually false. Given: σ=20n=10

Answered: (b) What is the probability of type II…

(b) What is the probability of type II error if the true mean foam height is 185 millimeters? (c) Find ß for the true mean of 195 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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Question

Perform the following exercise in minitab. (the whole process in pictures)

Only the exercises B) and C)

Note:
(the final answers are in the other image)

A consumer products 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 of 20 millimeters. The company wishes
to test Ho:µ = 175 millimeters versus Hj:µ>175 millimeters,
using the results of n = 10 samples.
(a) Find the type I error probability a if the critical region is
x>185.
(b) What is the probability of type II error if the true mean
foam height is 185 millimeters?
(c) Find B for the true mean of 195 millimeters.

a α-0.057053,
ь.В — 0.5,
c. B = 0.057053.

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