### Confidence IntervalsA random sample of 91 observations produced a mean \( \bar{x} = 25.4 \) and a standard deviation \( s = 2.4 \).**a. Find a 95% confidence interval for \( \mu \).****b. Find a 90% confidence interval for \( \mu \).****c. Find a 99% confidence interval for \( \mu \).**The graph or diagram related to this data is not presented, but for educational purposes, understanding how to calculate the confidence intervals involves using the following formula for the confidence interval of a mean:\[ \text{CI} = \bar{x} \pm z \left( \frac{s}{\sqrt{n}} \right) \]Where:- \( \bar{x} \) is the sample mean.- \( z \) is the z-score corresponding to the desired confidence level.- \( s \) is the sample standard deviation.- \( n \) is the sample size.Given:- Sample mean \( \bar{x} = 25.4 \)- Sample standard deviation \( s = 2.4 \)- Sample size \( n = 91 \)To calculate each confidence interval, you need to find the critical z-values for 95%, 90%, and 99% confidence levels typically as follows:- 95% confidence level: \( z \approx 1.96 \)- 90% confidence level: \( z \approx 1.645 \)- 99% confidence level: \( z \approx 2.576 \)Plug these values into the formula to determine the confidence intervals for each case.

Given that the mean is x-bar=25.4 and the standard deviation is s=2.4 Sample size is 91. Degrees of…

Answered: A random sample of 91 observations…

A random sample of 91 observations produced a mean x = 25.4 and a standard deviations=2.4. a. Find a 95% confidence interval for u.

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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