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10.6.3 Part 2 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. 1 (a) With the sample sizes given, what is the power of the test for this two sided alternative? Power = 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 = integer. Round your answer to three decimal places (e.g. Round your answer up to the nearest Statistical Tables and Charts

10.6.3 Part 2 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. 1 (a) With the sample sizes given, what is the power of the test for this two sided alternative? Power = 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 = integer. Round your answer to three decimal places (e.g. Round your answer up to the nearest Statistical Tables and Charts

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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10.6.3 Part 2 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. 1 (a) With the sample sizes given, what is the power of the test for this two sided alternative? Power = 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 = integer. Round your answer to three decimal places (e.g. Round your answer up to the nearest Statistical Tables and Charts
Transcribed Image Text:10.6.3 Part 2 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. 1 (a) With the sample sizes given, what is the power of the test for this two sided alternative? Power = 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 = integer. Round your answer to three decimal places (e.g. Round your answer up to the nearest Statistical Tables and Charts
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