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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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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