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The diameter of steel rods manufactured on two different extrusion machines is being investigated. Two random samples of sizes n₁ = 15 and n₂ = 17 are selected, and the sample means and sample variances are x₁ = 8.73, s2 = 0.35, *₂ = 8.68 and s² = Le 0.40, respectively. Assume equal population variances and that the data are drawn from a normal distribution. (a) is there evidence to support the claim that the two machines produce rods with different mean diameters? Use a = 0.10 in arriving at this conclusion. (b) Construct a 90% confidence interval for the difference in mean rod diameter.

The diameter of steel rods manufactured on two different extrusion machines is being investigated. Two random samples of sizes n₁ = 15 and n₂ = 17 are selected, and the sample means and sample variances are x₁ = 8.73, s2 = 0.35, *₂ = 8.68 and s² = Le 0.40, respectively. Assume equal population variances and that the data are drawn from a normal distribution. (a) is there evidence to support the claim that the two machines produce rods with different mean diameters? Use a = 0.10 in arriving at this conclusion. (b) Construct a 90% confidence interval for the difference in mean rod diameter.

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
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3 The diameter of steel rods manufactured on two different extrusion machines is being investigated. Two random samples of sizes n₁ = 15 and n₂ = 17 are selected, and the sample means and sample variances are x₁ = 8.73, s = 0.35,₂ = 8.68 and s² = e 0.40, respectively. Assume equal population variances and that the data are drawn from a normal distribution. (a) is there evidence to support the claim that the two machines produce rods with different mean diameters? Use a = 0.10 in arriving at this conclusion. (b) Construct a 90% confidence interval for the difference in mean rod diameter.
Transcribed Image Text:3 The diameter of steel rods manufactured on two different extrusion machines is being investigated. Two random samples of sizes n₁ = 15 and n₂ = 17 are selected, and the sample means and sample variances are x₁ = 8.73, s = 0.35,₂ = 8.68 and s² = e 0.40, respectively. Assume equal population variances and that the data are drawn from a normal distribution. (a) is there evidence to support the claim that the two machines produce rods with different mean diameters? Use a = 0.10 in arriving at this conclusion. (b) Construct a 90% confidence interval for the difference in mean rod diameter.
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