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The diameter of steel rods manufactured on two dif- ferent extrusion machines is being investigated. Two random samples of sizes ni = 15 and n2 = 17 are selected, and the sample means and sample variances are = 8.73, s? = 0.35, ž2= 8.68, and s = 0.40, respectively. Assume that of = ož and that the data are drawn from a normal distribution. a. A 90% two-sided confidence interval on o1 /02. b. A 95% two-sided confidence interval on o1/02. Comment on the comparison of the width of this interval with the width of the interval in part (a). c. A 90% lower-confidence bound on o1/02.

The diameter of steel rods manufactured on two dif- ferent extrusion machines is being investigated. Two random samples of sizes ni = 15 and n2 = 17 are selected, and the sample means and sample variances are = 8.73, s? = 0.35, ž2= 8.68, and s = 0.40, respectively. Assume that of = ož and that the data are drawn from a normal distribution. a. A 90% two-sided confidence interval on o1 /02. b. A 95% two-sided confidence interval on o1/02. Comment on the comparison of the width of this interval with the width of the interval in part (a). c. A 90% lower-confidence bound on o1/02.

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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Confidence Interval
The diameter of steel rods manufactured on two dif- ferent extrusion machines is being investigated. Two random samples of sizes ni = 15 and n2 = 17 are selected, and the sample means and sample variances are ž = 8.73, s? = 0.35, ž2= 8.68, and s = 0.40, respectively. Assume that of = ož and that the data are drawn from a normal distribution. a. A 90% two-sided confidence interval on o1/02. b. A 95% two-sided confidence interval on o1/02. Comment on the comparison of the width of this interval with the width of the interval in part (a). c. A 90% lower-confidence bound on o1/02.
Transcribed Image Text:The diameter of steel rods manufactured on two dif- ferent extrusion machines is being investigated. Two random samples of sizes ni = 15 and n2 = 17 are selected, and the sample means and sample variances are ž = 8.73, s? = 0.35, ž2= 8.68, and s = 0.40, respectively. Assume that of = ož and that the data are drawn from a normal distribution. a. A 90% two-sided confidence interval on o1/02. b. A 95% two-sided confidence interval on o1/02. Comment on the comparison of the width of this interval with the width of the interval in part (a). c. A 90% lower-confidence bound on o1/02.
Two different types of injection-molding machines are used to form plastic parts. A part is considered defective if it has excessive shrinkage or is discolored. Two random samples, each of size 300, are selected, and 15 defective parts are found in the sample from machine 1 while 8 defective parts are found in the sample from machine 2. Construct a 95% confidence interval on the difference in the two fractions defective
Transcribed Image Text:Two different types of injection-molding machines are used to form plastic parts. A part is considered defective if it has excessive shrinkage or is discolored. Two random samples, each of size 300, are selected, and 15 defective parts are found in the sample from machine 1 while 8 defective parts are found in the sample from machine 2. Construct a 95% confidence interval on the difference in the two fractions defective
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