Twenty years ago, a very famous psychologist specializing in marriage counseling authored a book detailing the way in which she believed spouses should communicate. She is now interested in the proportion of all couples who bought her book who stayed together. For a random sample of 200 couples who bought her book, she found that 162 of them stayed together. Based on this, compute a 95% confidence interval for the proportion of all couples who bought her book who stayed together. Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places. (If necessary, consult a list of formulas.) Lower limit: Upper limit: X S
Twenty years ago, a very famous psychologist specializing in marriage counseling authored a book detailing the way in which she believed spouses should communicate. She is now interested in the proportion of all couples who bought her book who stayed together. For a random sample of 200 couples who bought her book, she found that 162 of them stayed together. Based on this, compute a 95% confidence interval for the proportion of all couples who bought her book who stayed together. Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places. (If necessary, consult a list of formulas.) Lower limit: Upper limit: X S
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Confidence interval for a population proportion
Twenty years ago, a very famous psychologist specializing in marriage counseling authored book detailing the way in which she believed spouses should
communicate. She is now interested in the proportion of all couples who bought her book who stayed together. For a random sample of 200 couples who bought
her book, she found that 162 of them stayed together. Based on this, compute a 95% confidence interval for the proportion of all couples who bought her book
who stayed together. Then find the lower limit and upper limit of the 95% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places. (If necessary, consult a list of formulas.)
Lower limit:
Upper limit:
Explanation
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A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of eight ounces of coffee per cup. If it dispenses more than that on
average, the corporation may lose money, and if it dispenses less, the customers may complain.
BIG Corporation would like to estimate the mean amount of coffee, μ, dispensed per cup by this machine. BIG will choose a random sample of cup amounts
dispensed by this machine and use this sample to estimate μ. Assuming that the standard deviation of cup amounts dispensed by this machine is 0.42 ounces,
what is the minimum sample size needed in order for BIG to be 95% confident that its estimate is within 0.06 ounces of μ?
Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole
number that satisfies the requirements).
(If necessary, consult a list of formulas.)
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Explanation
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