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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. Suppose that p₁ -0.05 and p2 -0.01. (a) With the sample sizes given, what is the power of the test for this two sided alternative? Power = Round your answer to three decimal places (e.g. 98.765). (b) Determine the sample size needed to detect this difference with a probability of at least 0.9. Use a = 0.05. n = Round your answer up to the nearest integer. Statistical Tables and Char

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. Suppose that p₁ -0.05 and p2 -0.01. (a) With the sample sizes given, what is the power of the test for this two sided alternative? Power = Round your answer to three decimal places (e.g. 98.765). (b) Determine the sample size needed to detect this difference with a probability of at least 0.9. Use a = 0.05. n = Round your answer up to the nearest integer. Statistical Tables and Char

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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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. Suppose that p₁ -0.05 and p2 -0.01. (a) With the sample sizes given, what is the power of the test for this two sided alternative? Power = Round your answer to three decimal places (e.g. 98.765). (b) Determine the sample size needed to detect this difference with a probability of at least 0.9. Use a = 0.05.n= Round your answer up to the nearest integer. Statistical Tables and Charts
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. Suppose that p₁ -0.05 and p2 -0.01. (a) With the sample sizes given, what is the power of the test for this two sided alternative? Power = Round your answer to three decimal places (e.g. 98.765). (b) Determine the sample size needed to detect this difference with a probability of at least 0.9. Use a = 0.05.n= Round your answer up to the nearest integer. Statistical Tables and Charts
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