Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these gears, measured in foot-pounds, is an important characteristic. A random sample of 10 gears from supplier 1 results in ₁ = 289.30 and s₁ = 22.5, and another random sample of 16 gears from the second supplier results in ₂ = 321.80 and $₂ = 21. Use only Table V of Appendix A. (a) Is there evidence to support the claim that supplier 2 provides gears with higher mean impact strength? Use a = 0.05, and assume that both populations are normally distributed but the variances are not equal. Round your answer to 4 decimal places. < P-value < Is there evidence to support the claim? (b) Do the data support the claim that the mean impact strength of gears from supplier 2 is at least 25 foot-pounds higher than that of supplier 1? Find bounds on the P-value making the same assumptions as in part (a). Round your answer to 2 decimal places. i < P-value < Is there evidence to support the claim? (c) Construct an appropriate 95% confidence interval on the difference in mean impact strength. Use only Table V of Appendix A. Round your answers to 3 decimal places. ≤1₂-M1 ≤ i

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
Does the confidence interval support the claim that the mean impact strength of gears from supplier 2 is at least 25 foot-pounds
higher than that of supplier 1?
Transcribed Image Text:Does the confidence interval support the claim that the mean impact strength of gears from supplier 2 is at least 25 foot-pounds higher than that of supplier 1?
Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these gears, measured in foot-pounds, is an
important characteristic. A random sample of 10 gears from supplier 1 results in ₁ = 289.30 and $₁ = 22.5, and another random
sample of 16 gears from the second supplier results in ₂ = 321.80 and $₂ = 21.
Use only Table V of Appendix A.
(a) Is there evidence to support the claim that supplier 2 provides gears with higher mean impact strength? Use a = 0.05, and assume
that both populations are normally distributed but the variances are not equal.
Round your answer to 4 decimal places.
< P-value <
Is there evidence to support the claim?
(b) Do the data support the claim that the mean impact strength of gears from supplier 2 is at least 25 foot-pounds higher than that of
supplier 1? Find bounds on the P-value making the same assumptions as in part (a).
Round your answer to 2 decimal places.
< P-value <
Is there evidence to support the claim?
i
(c) Construct an appropriate 95% confidence interval on the difference in mean impact strength. Use only Table V of Appendix A.
Round your answers to 3 decimal places.
< M2-M1 < i
Transcribed Image Text:Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these gears, measured in foot-pounds, is an important characteristic. A random sample of 10 gears from supplier 1 results in ₁ = 289.30 and $₁ = 22.5, and another random sample of 16 gears from the second supplier results in ₂ = 321.80 and $₂ = 21. Use only Table V of Appendix A. (a) Is there evidence to support the claim that supplier 2 provides gears with higher mean impact strength? Use a = 0.05, and assume that both populations are normally distributed but the variances are not equal. Round your answer to 4 decimal places. < P-value < Is there evidence to support the claim? (b) Do the data support the claim that the mean impact strength of gears from supplier 2 is at least 25 foot-pounds higher than that of supplier 1? Find bounds on the P-value making the same assumptions as in part (a). Round your answer to 2 decimal places. < P-value < Is there evidence to support the claim? i (c) Construct an appropriate 95% confidence interval on the difference in mean impact strength. Use only Table V of Appendix A. Round your answers to 3 decimal places. < M2-M1 < i
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 16 images

Blurred answer
Similar questions
  • SEE MORE 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