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 = 290 and s₁ = 12, and another random sample of 16 gears from the second supplier results in x₂ = 321 and s₂ = 22. Construct a 95% confidence interval estimate for the difference in mean impact strength and explain how this interval could be used to answer the question posed regarding supplier-to- supplier differences. Assume that both populations are normally distributed but the variances are not equal (Case 2: o² o2) O a. 17.175 <= u1-u2 <= 44.825. Because zero is not contained in the confidence interval, we conclude that supplier 2 provides gears with a higher mean impact strength than supplier 1 with 95% confidence O b. 17.175 <= u1-u2 <= 44.825. Because zero is contained in the confidence interval, we conclude that supplier 2 provides gears with a higher mean impact strength than supplier 1 with 90% confidence O c. 17.175 <= u1-u2 <= 44.825. Because zero is not contained in the confidence interval, we conclude that supplier 2 provides gears with a lower mean impact strength than supplier 1 with 99% confidence O d. None among the choices
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 = 290 and s₁ = 12, and another random sample of 16 gears from the second supplier results in x₂ = 321 and s₂ = 22. Construct a 95% confidence interval estimate for the difference in mean impact strength and explain how this interval could be used to answer the question posed regarding supplier-to- supplier differences. Assume that both populations are normally distributed but the variances are not equal (Case 2: o² o2) O a. 17.175 <= u1-u2 <= 44.825. Because zero is not contained in the confidence interval, we conclude that supplier 2 provides gears with a higher mean impact strength than supplier 1 with 95% confidence O b. 17.175 <= u1-u2 <= 44.825. Because zero is contained in the confidence interval, we conclude that supplier 2 provides gears with a higher mean impact strength than supplier 1 with 90% confidence O c. 17.175 <= u1-u2 <= 44.825. Because zero is not contained in the confidence interval, we conclude that supplier 2 provides gears with a lower mean impact strength than supplier 1 with 99% confidence O d. None among the choices
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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![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 = 290 and s₁ = 12, and another random sample of 16 gears from the
second supplier results in x₂ = 321 and s₂ = 22.
Construct a 95% confidence interval estimate for the difference in mean impact strength and
explain how this interval could be used to answer the question posed regarding supplier-to-
supplier differences. Assume that both populations are normally distributed but the variances are
not equal (Case 2: o² o2)
O a. 17.175 <= u1-u2 <= 44.825. Because zero is not contained in the confidence interval, we conclude that supplier 2 provides gears with a higher mean impact strength
than supplier 1 with 95% confidence
O b. 17.175 <= u1-u2 <= 44.825. Because zero is contained in the confidence interval, we conclude that supplier 2 provides gears with a higher mean impact strength than
supplier 1 with 90% confidence
O c. 17.175 <= u1-u2 <= 44.825. Because zero is not contained in the confidence interval, we conclude that supplier 2 provides gears with a lower mean impact strength
than supplier 1 with 99% confidence
O d. None among the choices](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff58a3c48-dfaa-45cc-aa99-460b8490144e%2Fc53d0257-ad28-441c-9f05-9fe5d0d86ca5%2Fukzfqq5_processed.png&w=3840&q=75)
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 = 290 and s₁ = 12, and another random sample of 16 gears from the
second supplier results in x₂ = 321 and s₂ = 22.
Construct a 95% confidence interval estimate for the difference in mean impact strength and
explain how this interval could be used to answer the question posed regarding supplier-to-
supplier differences. Assume that both populations are normally distributed but the variances are
not equal (Case 2: o² o2)
O a. 17.175 <= u1-u2 <= 44.825. Because zero is not contained in the confidence interval, we conclude that supplier 2 provides gears with a higher mean impact strength
than supplier 1 with 95% confidence
O b. 17.175 <= u1-u2 <= 44.825. Because zero is contained in the confidence interval, we conclude that supplier 2 provides gears with a higher mean impact strength than
supplier 1 with 90% confidence
O c. 17.175 <= u1-u2 <= 44.825. Because zero is not contained in the confidence interval, we conclude that supplier 2 provides gears with a lower mean impact strength
than supplier 1 with 99% confidence
O d. None among the choices
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