Answered: The standard deviation in the pressure…

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

The standard deviation in the pressure required to open a certain valve is known to be

σ=1.1

psi. Due to changes in the manufacturing process, the quality-control manager feels that the pressure variability has

been reduced.

(a)	Determine the null and alternative hypotheses.
(b)	Explain what it would mean to make a Type I error.
(c)	Explain what it would mean to make a Type II error.

(a) State the hypotheses.

H0:

sigmaσ

muμ

equals=

less than<

greater than>

equals=

not equals≠

1.11.1

H1:

sigmaσ

muμ

sigmaσ

greater than>

equals=

not equals≠

greater than>

less than<

1.11.1

(Type integers or decimals. Do not round.)

(b) Which of the following is a Type I error?

The manager rejects the hypothesis that the pressure variability is

1.1,

when it is the true pressure variability.

The manager rejects the hypothesis that the pressure variability is

1.1,

when the true pressure variability is

less

than

1.1.

The manager fails to reject the hypothesis that the pressure variability is

1.1,

when it is the true pressure variability.

The manager fails to reject the hypothesis that the pressure variability is

1.1,

when the true pressure variability is

less

than

1.1.

The manager rejects the hypothesis that the pressure variability is

1.1,

when the true pressure variability is

less

than

1.1.

The manager fails to reject the hypothesis that the pressure variability is

1.1,

when it is the true pressure variability.

The manager rejects the hypothesis that the pressure variability is

1.1,

when it is the true pressure variability.

The manager fails to reject the hypothesis that the pressure variability is

1.1,

when the true pressure variability is

less

than

1.1.

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