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2. A random sample of 400 electronic components manufactured by a certain process are tested, and 30 are found to be defective. a. Let p represent the proportion of components manufactured by this process that are defective. Find a 95% confidence interval for p. Round the answers to four decimal places. b. How many additional components should be sampled so that the 95% confidence interval will specify the proportion of defective components to within 0.02? (Hint: use your answer from part (a).) C. A device will be manufactured in which two of the components will be connected in series. The components function independently, and the device will function only if both components function. Let q be the probability that a device functions. Find a 95% confidence interval for q. Round the answer to three decimal places. (Hint: Express q as a function of p and use your answer to part (a).)

2. A random sample of 400 electronic components manufactured by a certain process are tested, and 30 are found to be defective. a. Let p represent the proportion of components manufactured by this process that are defective. Find a 95% confidence interval for p. Round the answers to four decimal places. b. How many additional components should be sampled so that the 95% confidence interval will specify the proportion of defective components to within 0.02? (Hint: use your answer from part (a).) C. A device will be manufactured in which two of the components will be connected in series. The components function independently, and the device will function only if both components function. Let q be the probability that a device functions. Find a 95% confidence interval for q. Round the answer to three decimal places. (Hint: Express q as a function of p and use your answer to part (a).)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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2. A random sample of 400 electronic components manufactured by a certain process are tested, and 30 are found to be defective. a. Let p represent the proportion of components manufactured by this process that are defective. Find a 95% confidence interval for p. Round the answers to four decimal places. b. How many additional components should be sampled so that the 95% confidence interval will specify the proportion of defective components to within 0.02? (Hint: use your answer from part (a).) c. A device will be manufactured in which two of the components will be connected in series. The components function independently, and the device will function only if both components function. Let q be the probability that a device functions. Find a 95% confidence interval for 9. Round the answer to three decimal places. (Hint: Express q as a function of p and use your answer to part (a).)
Transcribed Image Text:2. A random sample of 400 electronic components manufactured by a certain process are tested, and 30 are found to be defective. a. Let p represent the proportion of components manufactured by this process that are defective. Find a 95% confidence interval for p. Round the answers to four decimal places. b. How many additional components should be sampled so that the 95% confidence interval will specify the proportion of defective components to within 0.02? (Hint: use your answer from part (a).) c. A device will be manufactured in which two of the components will be connected in series. The components function independently, and the device will function only if both components function. Let q be the probability that a device functions. Find a 95% confidence interval for 9. Round the answer to three decimal places. (Hint: Express q as a function of p and use your answer to part (a).)
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