13. A manufacturer produces car seat belts. Due to recent customers complaint, samples of seat belts were taken for analysis. In a sample of 483 seat belts, it was found that 29 of them are defectives. a) Estimate the percentage of defective seat-belts that the manufacturers have produced and calculate the 90% confidence limits for the proportion of defective seat belts. b) Using the result in "a", suppose a 95% confidence interval for the proportion of defective seat belts is considered. What sample size would have to be taken so that the error in estimating the proportion of defective is within +3.5%.

13. A manufacturer produces car seat belts. Due to recent customers complaint, samples of seat belts were taken for analysis. In a sample of 483 seat belts, it was found that 29 of them are defectives. a) Estimate the percentage of defective seat-belts that the manufacturers have produced and calculate the 90% confidence limits for the proportion of defective seat belts. b) Using the result in "a", suppose a 95% confidence interval for the proportion of defective seat belts is considered. What sample size would have to be taken so that the error in estimating the proportion of defective is within +3.5%.

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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Question

100%

13. A manufacturer produces car seat belts. Due to recent customers complaint, samples of seat
belts were taken for analysis. In a sample of 483 seat belts, it was found that 29 of them are
defectives.
a) Estimate the percentage of defective seat-belts that the manufacturers have produced
and calculate the 90% confidence limits for the proportion of defective seat belts.
b) Using the result in "a", suppose a 95% confidence interval for the proportion of
defective seat belts is considered. What sample size would have to be taken so that the
error in estimating the proportion of defective is within +3.5%.

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