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Use the sample shown to construct a 90% confidence inter estimate the population mean. Express your answer in the fo ×土E. Sample: X = 35 ,S=l.5, n=2 S=1.5

Use the sample shown to construct a 90% confidence inter estimate the population mean. Express your answer in the fo ×土E. Sample: X = 35 ,S=l.5, n=2 S=1.5

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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**4. Use the sample shown to construct a 90% confidence interval to estimate the population mean. Express your answer in the form \(\overline{X} \pm E\).** **Sample:** - \(\overline{X} = 35\) - \(s = 1.5\) - \(n = 25\) ### Explanation: To calculate a 90% confidence interval for the population mean, use the formula: \[ CI = \overline{X} \pm E \] Where \(E\) is the margin of error calculated as: \[ E = t^* \cdot \left(\frac{s}{\sqrt{n}}\right) \] - \(\overline{X}\) is the sample mean. - \(s\) is the sample standard deviation. - \(n\) is the sample size. - \(t^*\) is the t-score from the t-distribution table corresponding to a 90% confidence level with \(n-1\) degrees of freedom. Using these values, you can construct the confidence interval to estimate the population mean.
Transcribed Image Text:**4. Use the sample shown to construct a 90% confidence interval to estimate the population mean. Express your answer in the form \(\overline{X} \pm E\).** **Sample:** - \(\overline{X} = 35\) - \(s = 1.5\) - \(n = 25\) ### Explanation: To calculate a 90% confidence interval for the population mean, use the formula: \[ CI = \overline{X} \pm E \] Where \(E\) is the margin of error calculated as: \[ E = t^* \cdot \left(\frac{s}{\sqrt{n}}\right) \] - \(\overline{X}\) is the sample mean. - \(s\) is the sample standard deviation. - \(n\) is the sample size. - \(t^*\) is the t-score from the t-distribution table corresponding to a 90% confidence level with \(n-1\) degrees of freedom. Using these values, you can construct the confidence interval to estimate the population mean.
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