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.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A psychologist is interested in constructing a 99% confidence interval for the proportion of people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain. 55 of the 715 randomly selected people who were surveyed agreed with this theory. a. With 99% confidence the proportion of all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain is between and Round to 3 decimal places. b. If many groups of 715 randomly selected people are surveyed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain and about percent will not contain the true population proportion. Hint: Hints Video Textbook Question Help: D Post to forum Submit Question 2 w』の NOV 12 3D