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An article in the Journal of the American Statistical Association [Illustration of Bayesian Inference in Normal Data Models Using Gibbs Sampling" (1990, Vol. 85, pp. 972-985)] measured the weight of 30 rats under experiment controls. Suppose that 12 were underweight rats. (a) Calculate a 95% two-sided confidence interval on the true proportion of rats that would show underweight from the experiment. (b) Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.02? (c) If we don't have any previous information about p, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.02 ? (b) Using the point estimate of p obtained from the preliminary sam- ple, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.02? (c) If we don't have any previous information about p, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.02?

An article in the Journal of the American Statistical Association [Illustration of Bayesian Inference in Normal Data Models Using Gibbs Sampling" (1990, Vol. 85, pp. 972-985)] measured the weight of 30 rats under experiment controls. Suppose that 12 were underweight rats. (a) Calculate a 95% two-sided confidence interval on the true proportion of rats that would show underweight from the experiment. (b) Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.02? (c) If we don't have any previous information about p, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.02 ? (b) Using the point estimate of p obtained from the preliminary sam- ple, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.02? (c) If we don't have any previous information about p, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.02?

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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An article in the Journal of the American Statistical Association ['Illustration of Bayesian Inference in Normal Data Models Using Gibbs Sampling" (1990, Vol. 85, pp. 972-985)] measured the weight of 30 rats under experiment controls. Suppose that 12 were underweight rats. (a) Calculate a 95% two-sided confidence interval on the true proportion of rats that would show underweight from the experiment. (b) Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.02? (c) If we don't have any previous information about p, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.02 ? (b) Using the point estimate of p obtained from the preliminary sam- ple, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.02? (c) If we don't have any previous information about p, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.02?
Transcribed Image Text:An article in the Journal of the American Statistical Association ['Illustration of Bayesian Inference in Normal Data Models Using Gibbs Sampling" (1990, Vol. 85, pp. 972-985)] measured the weight of 30 rats under experiment controls. Suppose that 12 were underweight rats. (a) Calculate a 95% two-sided confidence interval on the true proportion of rats that would show underweight from the experiment. (b) Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.02? (c) If we don't have any previous information about p, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.02 ? (b) Using the point estimate of p obtained from the preliminary sam- ple, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.02? (c) If we don't have any previous information about p, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.02?
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