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3) Estimating the Difference Between Two Means: Unknown Variance (Assumed Unequal) a) A car manufacturer outsources production of a certain automotive component. The company has found a cheaper supplier (supplier 2), but wants to make sure that the component is of the same quality. The standard deviations in component lifetimes are unknown. 12 components from each supplier are tested and the average lifetime for the new supplier's component is 1,500 miles shorter compared to the original supplier's component (that is, X₁ X₂ = 1,500). The standard deviations for the two samples are S₁ = 1,250 and S₂ = 1,100 miles. Find a 96% confidence interval on the difference in average lifetime between the two populations (μ₁ −μ₂).

3) Estimating the Difference Between Two Means: Unknown Variance (Assumed Unequal) a) A car manufacturer outsources production of a certain automotive component. The company has found a cheaper supplier (supplier 2), but wants to make sure that the component is of the same quality. The standard deviations in component lifetimes are unknown. 12 components from each supplier are tested and the average lifetime for the new supplier's component is 1,500 miles shorter compared to the original supplier's component (that is, X₁ X₂ = 1,500). The standard deviations for the two samples are S₁ = 1,250 and S₂ = 1,100 miles. Find a 96% confidence interval on the difference in average lifetime between the two populations (μ₁ −μ₂).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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3) Estimating the Difference Between Two Means: Unknown Variance (Assumed Unequal) a) A car manufacturer outsources production of a certain automotive component. The company has found a cheaper supplier (supplier 2), but wants to make sure that the component is of the same quality. The standard deviations in component lifetimes are unknown. 12 components from each supplier are tested and the average lifetime for the new supplier's component is 1,500 miles shorter compared to the original supplier's component (that is, X₁ X₂ = 1,500). The standard deviations for the two samples are S₁ = 1,250 and S₂ = 1,100 miles. Find a 96% confidence interval on the difference in average lifetime between the two populations (₁-₂). .<μ<.
Transcribed Image Text:3) Estimating the Difference Between Two Means: Unknown Variance (Assumed Unequal) a) A car manufacturer outsources production of a certain automotive component. The company has found a cheaper supplier (supplier 2), but wants to make sure that the component is of the same quality. The standard deviations in component lifetimes are unknown. 12 components from each supplier are tested and the average lifetime for the new supplier's component is 1,500 miles shorter compared to the original supplier's component (that is, X₁ X₂ = 1,500). The standard deviations for the two samples are S₁ = 1,250 and S₂ = 1,100 miles. Find a 96% confidence interval on the difference in average lifetime between the two populations (₁-₂). .<μ<.
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