### Confidence Interval Calculation for Normally Distributed PopulationA simple random sample of size \( n \) is drawn from a population that is normally distributed. The sample mean, \( \bar{x} \), is found to be 115, and the sample standard deviation, \( s \), is 10.#### Tasks:**(a)** Construct a 96% confidence interval about the population mean \( \mu \) if the sample size, \( n \), is 27.**(b)** Construct a 96% confidence interval about \( \mu \) if the sample size, \( n \), is 17.**(c)** Construct a 95% confidence interval about \( \mu \) if the sample size, \( n \), is 27.**(d)** Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?*Click the icon to view the table of areas under the t-distribution.*---#### Calculation Box**(a)** Construct a 96% confidence interval about \( \mu \) if the sample size, \( n \), is 27.- Lower bound: [Input Box]- Upper bound: [Input Box]*(Use ascending order. Round to one decimal place as needed.)*

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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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A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 110, and the sample standard deviation, s, is found to be 10. (a) Construct a 95% confidence interval about µ if the sample size, n, is 24. (b) Construct a 95% confidence interval about µ if the sample size, n, is 16. p (c) Construct a 90% confidence interval about if the sample size, n, is 24. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about u if the sample size, n, is 24. Lower bound: Upper bound www
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