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The diameter of steel rods manufactured on two dif- ferent extrusion machines is being investigated. Two random samples of sizes n = 15 and n2 = 17 are selected, and the sample means and sample variances are x = 8.73, si 0.35, x2 = 8.68, and s3 = 0.40, respectively. Assume that of = o3 and that the data are drawn from a normal distribution. Is there evidence to support the claim that the two ma- chines produce rods with different mean diameters? Use a = 0.05 in arriving at this conclusion.

The diameter of steel rods manufactured on two dif- ferent extrusion machines is being investigated. Two random samples of sizes n = 15 and n2 = 17 are selected, and the sample means and sample variances are x = 8.73, si 0.35, x2 = 8.68, and s3 = 0.40, respectively. Assume that of = o3 and that the data are drawn from a normal distribution. Is there evidence to support the claim that the two ma- chines produce rods with different mean diameters? Use a = 0.05 in arriving at this conclusion.

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
Section10.4: Distributions Of Data
Problem 19PFA
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TOPIC: Hypotheses Tests on the Difference in Means, Variances
Unknown & Equal or Unknown & Not Assumed Equal

Please provide answers specially for test statistics and the critical value. Thank you

The diameter of steel rods manufactured on two dif- ferent extrusion machines is being investigated. Two random samples of sizes n = 15 and n2 = 17 are selected, and the sample means and sample variances are x = 8.73, si 0.35, X2 = 8.68, and s3 = 0.40, respectively. Assume that of = o3 and that the data are drawn from a normal distribution. Is there evidence to support the claim that the two ma- chines produce rods with different mean diameters? Use a = 0.05 in arriving at this conclusion.
Transcribed Image Text:The diameter of steel rods manufactured on two dif- ferent extrusion machines is being investigated. Two random samples of sizes n = 15 and n2 = 17 are selected, and the sample means and sample variances are x = 8.73, si 0.35, X2 = 8.68, and s3 = 0.40, respectively. Assume that of = o3 and that the data are drawn from a normal distribution. Is there evidence to support the claim that the two ma- chines produce rods with different mean diameters? Use a = 0.05 in arriving at this conclusion.
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