10. 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 1.01 (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.
10. 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 1.01 (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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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![10. 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9beb5ab6-4fd3-4e9c-8c6c-c4109f4c868c%2Faff64d6a-29dc-4e85-a7ec-15b792be4474%2Fatkz05cs_processed.png&w=3840&q=75)
Transcribed Image Text:10. 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.
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