1. An engineer who is studying the tensile strength of a steel alloy intended for use in golf club shafts knows that tensile strength is approximately normally distributed with the sigma=60 psi. A random sample of 12 specimens has a mean tensile strength of 3450 psi. a=0.01. Ho: μ = 3500, H₁: µ ‡ 3500 (a) Calculate the type II error if the true mean diameter is 3470 psi. (b) What sample size would be required to detect a true mean diameter as low as 3470 psi if you wanted the power of the test to be at least 0.9?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
1. An engineer who is studying the tensile strength of a steel alloy intended for use in
golf club shafts knows that tensile strength is approximately normally distributed with the
sigma=60 psi. A random sample of 12 specimens has a mean tensile strength of 3450 psi.
a=0.01.
Ho: μ = 3500, H₁: µ ‡ 3500
(a) Calculate the type II error if the true mean diameter is 3470 psi.
(b) What sample size would be required to detect a true mean diameter as low as 3470 psi
if you wanted the power of the test to be at least 0.9?
Transcribed Image Text:1. An engineer who is studying the tensile strength of a steel alloy intended for use in golf club shafts knows that tensile strength is approximately normally distributed with the sigma=60 psi. A random sample of 12 specimens has a mean tensile strength of 3450 psi. a=0.01. Ho: μ = 3500, H₁: µ ‡ 3500 (a) Calculate the type II error if the true mean diameter is 3470 psi. (b) What sample size would be required to detect a true mean diameter as low as 3470 psi if you wanted the power of the test to be at least 0.9?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman