The sample size is 37 and the population standard deviation is o = 0.7. Use a = .05. Do not round intermediate calculations. a. What would a Type II error mean in this situation? Select b. What is the probability of making a Type II error when the machine is overfilling by .5 ounces (to 4 decimals)? c. What is the power of the statistical test when the machine is overfilling by .5 ounces (to 4 decimals)?

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
Topic Video
Question

A production line operation is tested for filling weight accuracy using the following hypotheses

Hypothesis Conclusion and Action
H 0:  = 16 Filling okay, keep running
H a:     16 Filling off standard; stop and adjust machine

The sample size is 37 and the population standard deviation is  = 0.7. Use  = .05. Do not round intermediate calculations.

A production line operation is tested for filling weight accuracy using the following hypotheses.
Hypothesis
Conclusion and Action
Ho:
= 16
Filling okay, keep running
Ha: µ # 16
Filling off standard; stop and adjust machine
The sample size is 37 and the population standard deviation is o = 0.7. Use a = .05. Do not round intermediate calculations.
a. What would a Type II error mean in this situation?
Select
b. What is the probability of making a Type II error when the machine is overfilling by .5 ounces (to 4 decimals)?
c. What is the power of the statistical test when the machine is overfilling by .5 ounces (to 4 decimals)?
d. Choose the power curve for this hypothesis test.
A.
1.00
.75
Power
.50
.25
.00
15.6 15.8 16.0 16.2
16.4
Possible Values of u
Transcribed Image Text:A production line operation is tested for filling weight accuracy using the following hypotheses. Hypothesis Conclusion and Action Ho: = 16 Filling okay, keep running Ha: µ # 16 Filling off standard; stop and adjust machine The sample size is 37 and the population standard deviation is o = 0.7. Use a = .05. Do not round intermediate calculations. a. What would a Type II error mean in this situation? Select b. What is the probability of making a Type II error when the machine is overfilling by .5 ounces (to 4 decimals)? c. What is the power of the statistical test when the machine is overfilling by .5 ounces (to 4 decimals)? d. Choose the power curve for this hypothesis test. A. 1.00 .75 Power .50 .25 .00 15.6 15.8 16.0 16.2 16.4 Possible Values of u
1.00
.75
Power
.50
.25
.00
15.6
15.8
16.0 16.2 16.4
Possible Values of u
C.
1.00
.75
Power
.50
.25
.00
15.6 15.8 16.0 16.2 16.4
Possible Values of u
Select
What information does the power curve contain for the production manager?
The probability of rejecting
v the alternative v hypothesis for various mean filling weights.
B.
Transcribed Image Text:1.00 .75 Power .50 .25 .00 15.6 15.8 16.0 16.2 16.4 Possible Values of u C. 1.00 .75 Power .50 .25 .00 15.6 15.8 16.0 16.2 16.4 Possible Values of u Select What information does the power curve contain for the production manager? The probability of rejecting v the alternative v hypothesis for various mean filling weights. B.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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