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 = 290 and s₁ = 12, and another random sample of 16 gears from the second supplier results in x₂ = 321 and s₂ = 22. 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. a. Because -4.64 < -1.714, fail to reject the Null Hypothesis b. Because -4.64 < -1.714, reject the Null Hypothesis c. None among the choices d. Reject the Null Hypothesis

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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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 = : 290 and $₁ = 12, and another random sample of 16 gears from the
second supplier results in x₂ = 321 and 5₂
= = 22.
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.
a. Because -4.64 < -1.714, fail to reject the Null Hypothesis
b. Because -4.64 < -1.714, reject the Null Hypothesis
c. None among the choices
d. Reject the Null Hypothesis
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 = : 290 and $₁ = 12, and another random sample of 16 gears from the second supplier results in x₂ = 321 and 5₂ = = 22. 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. a. Because -4.64 < -1.714, fail to reject the Null Hypothesis b. Because -4.64 < -1.714, reject the Null Hypothesis c. None among the choices d. Reject the Null Hypothesis
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