Lombard Electronics Company has just installed a new machine that makes a part that isused in clocks. The company wants to estimate the proportion of these parts produced bythis machine that are defective. The company manager wants this estimate to be within .02of the population proportion for a 95% confidence level. What is the most conservative es-timate of the sample size that will limit the margin of error to within .02 of the populationproportion?

Answered: Image /qna-images/answer/3919a937-dbcb-44af-8fc7-9544a7fe47fe.jpg

Answered: Lombard Electronics Company has just…

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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Similar questions

How do you Recalculate the sample size needed for hat p =0.27?
We want to estimate the proportion of cities that have private refuse collectors. We want to estimate the population proportion with a margin of error of 0.10, with a confidence level of 90%, with a prior population proportion of 40%. What is the required sample size?
In order to estimate the percentage of adults who file their taxes at least two weeks be deadline, a 99% confidence interval is constructed. The interval ends up being from 0.756 to 0.864. Which of the following could be a 90% confidence interval for the same sample data? I. 0.749 to 0.871 II. 0.776 to 0.844 III. 0.765 to 0.875 IV. 0.799 to 0.841 OI only OIV only None of the answer options are reasonable 90% confidence intervals. III only O II only
Suppose you work for the Department of Environment and National Resources (DENR). You want to estimate, with 95% confidence, the mean length of all tilapia in a fish hatchery pond. You take a random sample of 10 tilapia and determine the average length is 10.5 inches and the sample standard deviation is 2.9 inches. Construct a confidence interval for this sample and interpret the result.
In 2010, an online security firm estimated that 61% of computer users don't change their passwords very often. Because this estimate may be outdated, suppose that you want to carry out a new survey to estimate the proportion of students at your school who do not change their password. You would like to determine the sample size required to estimate this proportion to within a margin of error of 0.05 with 95% confidence. Using 0.61 as a preliminary estimate, what is the required sample size if you want to estimate this proportion with a margin of error of 0.05? (Round your answer up to the nearest whole number.) Calculate the required sample size using the conservative value of 0.5. (Round your answer up to the nearest whole number.) What sample size would you recommend? Justify your answer.
A football coach claims that the average weight of all opposing teams’ members is 225 pounds. For a test of the claim, a simple random sample of 50 players is taken from all the opposing teams. The mean is found to be 230 pounds with a standard of 15 pounds. Construct a 95% confidence interval for the unknown average weight of the population of all the players of opposing teams. Interpret your result.
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your company has just installed a new computer data entry system and you must determine the new input error rates. Management requires you to report the error rates within 0.5% at a 95 confidence level. What sample size do you need if the population standard deviation is 1.2%.
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A telephone poll of 500 adult Americans was reported in an issue of Time Magazine. One of the questions asked was “What is the main problem facing the country?” Thirty percent answered “crime”. We are interested in the population proportion of adult Americans who feel that crime is the main problem. Define the random variables X and P’ in words. Which distribution should be used for this problem? Explain your choice. Construct a 97% confidence interval for the population proportion of adult Americans who feel that crime is the main problem. i. State the confidence interval, ii. Sketch the graph, iii. Calculate the error bound 4. Suppose we want to lower the sampling error. What is one way to accomplish that?
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