A random sample of 300 electronic components were selected from a large run of a new manufacturing process. Each was tested and 18 were found to be defective. a. Construct the 95% confidence interval for the proportion of defective components. b. To reduce the width of the 95% confidence interval to ±.01 (width of 2%) the sample size must be at least what size? c. Suppose 2 of the remaining (300-18) components are randomly selected and used in a system that requires both to be non-defective. Let q be the probability the system functions (none of the 2 selected components are defective). Construct the 95% confidence interval for q.

A random sample of 300 electronic components were selected from a large run of a new manufacturing process. Each was tested and 18 were found to be defective. a. Construct the 95% confidence interval for the proportion of defective components. b. To reduce the width of the 95% confidence interval to ±.01 (width of 2%) the sample size must be at least what size? c. Suppose 2 of the remaining (300-18) components are randomly selected and used in a system that requires both to be non-defective. Let q be the probability the system functions (none of the 2 selected components are defective). Construct the 95% confidence interval for q.

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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