MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question

Please solve all parts of the question correctly and double-check.

### Margin of Error Calculation **c.** Obtain the margin of error by using the formula: \[ E = z_{\frac{\alpha}{2}} \cdot \frac{\sigma}{\sqrt{n}} \] **Identify the critical value.** \[ z_{\frac{\alpha}{2}} = \] (Type an integer or decimal rounded to two decimal places as needed.) **What is the margin of error obtained using the methods of parts (b) and (c)?** \[ \] (Type an integer or decimal rounded to one decimal place as needed.)
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Transcribed Image Text:### Margin of Error Calculation **c.** Obtain the margin of error by using the formula: \[ E = z_{\frac{\alpha}{2}} \cdot \frac{\sigma}{\sqrt{n}} \] **Identify the critical value.** \[ z_{\frac{\alpha}{2}} = \] (Type an integer or decimal rounded to two decimal places as needed.) **What is the margin of error obtained using the methods of parts (b) and (c)?** \[ \] (Type an integer or decimal rounded to one decimal place as needed.)
## Confidence Interval Calculation Using Sample Data A sample mean, sample size, population standard deviation, and confidence level are provided. Use this information to complete parts (a) through (c) below. Given: - Sample mean (\(\bar{x}\)) = 54 - Sample size (\(n\)) = 18 - Population standard deviation (\(\sigma\)) = 6 - Confidence level = 99% ### Resources - [Click here to view page 1 of the standard normal distribution table.](#) - [Click here to view page 2 of the standard normal distribution table.](#) --- ### a. Calculating the Confidence Interval Use the one-mean z-interval procedure to find a confidence interval for the mean of the population from which the sample was drawn. - **The confidence interval is from** [____] **to** [____]. *(Type integers or decimals rounded to one decimal place as needed.)* --- ### b. Determining the Length of the Confidence Interval Obtain the margin of error by taking half the length of the confidence interval. - **What is the length of the confidence interval?** [____] *(Type an integer or decimal rounded to one decimal place as needed.)* --- ### c. Calculating the Margin of Error Obtain the margin of error by using the formula: \[ E = z_{\frac{\alpha}{2}} \cdot \frac{\sigma}{\sqrt{n}} \] ---
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Transcribed Image Text:## Confidence Interval Calculation Using Sample Data A sample mean, sample size, population standard deviation, and confidence level are provided. Use this information to complete parts (a) through (c) below. Given: - Sample mean (\(\bar{x}\)) = 54 - Sample size (\(n\)) = 18 - Population standard deviation (\(\sigma\)) = 6 - Confidence level = 99% ### Resources - [Click here to view page 1 of the standard normal distribution table.](#) - [Click here to view page 2 of the standard normal distribution table.](#) --- ### a. Calculating the Confidence Interval Use the one-mean z-interval procedure to find a confidence interval for the mean of the population from which the sample was drawn. - **The confidence interval is from** [____] **to** [____]. *(Type integers or decimals rounded to one decimal place as needed.)* --- ### b. Determining the Length of the Confidence Interval Obtain the margin of error by taking half the length of the confidence interval. - **What is the length of the confidence interval?** [____] *(Type an integer or decimal rounded to one decimal place as needed.)* --- ### c. Calculating the Margin of Error Obtain the margin of error by using the formula: \[ E = z_{\frac{\alpha}{2}} \cdot \frac{\sigma}{\sqrt{n}} \] ---
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