Homework Help is Here – Start Your Trial Now!
Math
Statistics
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 x₁ = 289.30 and s₁ = 22.5, and another random sample of 16 gears from the second supplier results in X₂ = 321.80 and s₂ = 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. 0.001 < P-value < 0.002 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). Yes.

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 x₁ = 289.30 and s₁ = 22.5, and another random sample of 16 gears from the second supplier results in X₂ = 321.80 and s₂ = 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. 0.001 < P-value < 0.002 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). Yes.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
Please help correct a,c, and d. Thanks
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 x₁ = 289.30 and s₁ = 22.5, and another random sample of 16 gears from the second supplier results in X₂ = 321.80 and s₂ = 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. 0.001 < P-value < 0.002 Is there evidence to support the claim? Yes. (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. 0.10 < P-value < 0.25 Is there evidence to support the claim? No. (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. i 13.4856 ≤ 1₂-1₁5 50.5144 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? Yes, 25 is contained in the confidence interval. Dann the manfidan interual runnert the claim that the main strength of gears from supplier 2 is at least 25 foot-pounds No, there are values in the confidence interval that are less than 25. ✓ Yes, 25 is contained in the confidence interval. No, the upper bound of the confidence interval is greater than 25. Yes, the upper bound of the confidence interval is greater than 25. eTextbook and Media
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 x₁ = 289.30 and s₁ = 22.5, and another random sample of 16 gears from the second supplier results in X₂ = 321.80 and s₂ = 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. 0.001 < P-value < 0.002 Is there evidence to support the claim? Yes. (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. 0.10 < P-value < 0.25 Is there evidence to support the claim? No. (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. i 13.4856 ≤ 1₂-1₁5 50.5144 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? Yes, 25 is contained in the confidence interval. Dann the manfidan interual runnert the claim that the main strength of gears from supplier 2 is at least 25 foot-pounds No, there are values in the confidence interval that are less than 25. ✓ Yes, 25 is contained in the confidence interval. No, the upper bound of the confidence interval is greater than 25. Yes, the upper bound of the confidence interval is greater than 25. eTextbook and Media
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS