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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).

MATLAB: An Introduction with Applications
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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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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