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 SH₂-HIS 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? No, there are values in the confidence interval that are less than 25.
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 SH₂-HIS 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? No, there are values in the confidence interval that are less than 25.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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please help correct A,C and Does the confidence interval support claim...
Thanks.
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.
< P-value <
0.001
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
0.002
< 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.
13.4856
SH₂-HIS
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?
No, there are values in the confidence interval that are less than 25. v
50.5144
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