Y Hotpot stoves use a standard oven insulation. To test its effectiveness they take random samples from the production line and heat the ovens selected to 400°C after switching off. For a sample of 8 ovens the times in minutes are: Sample A 16.6 16.3 14.8 13.9 14.6 14.2 14.6 14.2 They decide to explore a cheaper insulation and using this on a sample of 9 the times taken for the same temperature drop are Sample B 14.8 13.4 15.3 12.9 14.6 13.4 15.3 13.9 14.1 Are the firm justified in asserting there is no real evidence of a different rate of heat loss? What is the Mann-Whitney U statistic (report the larger of U₁ and U₂) Here are the critical values for n₁-8 and n₂-9, for the two-tailed Mann-Whitney test

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
3
14.6
13.4
15.3
12.9
14.6
13.4
15.3
13.9
14.1
Are the firm justified in asserting there is no real evidence of a different rate of heat loss?
What is the Mann-Whitney U statistic (report the larger of U₁ and U₂)
Here are the critical values for n₁-8 and n₂-9, for the two-tailed Mann-Whitney test
Alpha Level 0.2 0.1 0.05 0.02 0.01 0.005 0.002
Critical Value 50 54
57
61
63
65
67
What is the p-value for the test? Select an answer
What is your conclusion after doing the test?
✓ Select an answer
There is no real evidence from the data of a different rate of heat loss.
There is sufficient evidence of a different rate of heat loss.
0.001
68
Transcribed Image Text:14.6 13.4 15.3 12.9 14.6 13.4 15.3 13.9 14.1 Are the firm justified in asserting there is no real evidence of a different rate of heat loss? What is the Mann-Whitney U statistic (report the larger of U₁ and U₂) Here are the critical values for n₁-8 and n₂-9, for the two-tailed Mann-Whitney test Alpha Level 0.2 0.1 0.05 0.02 0.01 0.005 0.002 Critical Value 50 54 57 61 63 65 67 What is the p-value for the test? Select an answer What is your conclusion after doing the test? ✓ Select an answer There is no real evidence from the data of a different rate of heat loss. There is sufficient evidence of a different rate of heat loss. 0.001 68
ary
er
Hotpot stoves use a standard oven insulation. To test its effectiveness they take random samples from the
production line and heat the ovens selected to 400°C after switching off. For a sample of 8 ovens the times
in minutes are:
Sample A
16.6
16.3
14.8
13.9
14.6
14.2
14.6
14.2
They decide to explore a cheaper insulation and using this on a sample of 9 the times taken for the same
temperature drop are
Sample B
14.8
13.4
15.3
12.9
14.6
13.4
15.3
13.9
14.1
Are the firm justified in asserting there is no real evidence of a different rate of heat loss?
What is the Mann-Whitney U statistic (report the larger of U₁ and U₂)
Here are the critical values for n₁-8 and n₂-9, for the two-tailed Mann-Whitney test
Alpha Level
9.2 0.1
0.05
0.02 0.01
0.005
0.002
0.001
Transcribed Image Text:ary er Hotpot stoves use a standard oven insulation. To test its effectiveness they take random samples from the production line and heat the ovens selected to 400°C after switching off. For a sample of 8 ovens the times in minutes are: Sample A 16.6 16.3 14.8 13.9 14.6 14.2 14.6 14.2 They decide to explore a cheaper insulation and using this on a sample of 9 the times taken for the same temperature drop are Sample B 14.8 13.4 15.3 12.9 14.6 13.4 15.3 13.9 14.1 Are the firm justified in asserting there is no real evidence of a different rate of heat loss? What is the Mann-Whitney U statistic (report the larger of U₁ and U₂) Here are the critical values for n₁-8 and n₂-9, for the two-tailed Mann-Whitney test Alpha Level 9.2 0.1 0.05 0.02 0.01 0.005 0.002 0.001
Expert Solution
steps

Step by step

Solved in 5 steps with 1 images

Blurred answer
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