To construct a confidence interval for the difference between two population means $ \mu_1 - \mu_2 $, use the formula below when both population standard deviations are known, and either both populations are normally distributed or both $ n_1 > 30 $ and $ n_2 > 30 $. Also, the samples must be randomly selected and independent.\[(\overline{x}_1 - \overline{x}_2) - z \sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2}} < \mu_1 - \mu_2 < (\overline{x}_1 - \overline{x}_2) + z \sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2}}\]The descriptive statistics for the mean annual salaries from a random sample of microbiologists from two regions are shown below. Construct a 95% confidence interval for the difference between the mean annual salaries.Region 1: $ \overline{x}_1 = \$100,920 $, $ n_1 = 40 $, and $ \sigma = \$8,550 $.Region 2: $ \overline{x}_2 = \$98,300 $, $ n_2 = 43 $, and $ \sigma = \$8,565 $.Complete the 95% confidence interval for $ \mu_1 - \mu_2 $ below.\[< \mu_1 - \mu_2 < \](Round to the nearest dollar as needed.)Enter your answer in each of the answer boxes.

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e construct a confidence interval for the difference between two population means p, -, use the formula shown below when both population standard deviations are known, and either both populations are normally distributed or both n 2 30 and ny 2 30 Also, the samples must be randomly selected and independent The descriptive statistics for the annual salaries from a random sample of microbiologists from two regions are shown below. Construct a 95% confidence interval for the difference between the mean annual salaries *S108,920, n, = 40, and o, = $8550, = $85,300, n=43, and o, S8555 Complete the 95% confidence interval for u -p below. (Round to the nearest dollar as needed)

e construct a confidence interval for the difference between two population means p, -, use the formula shown below when both population standard deviations are known, and either both populations are normally distributed or both n 2 30 and ny 2 30 Also, the samples must be randomly selected and independent The descriptive statistics for the annual salaries from a random sample of microbiologists from two regions are shown below. Construct a 95% confidence interval for the difference between the mean annual salaries *S108,920, n, = 40, and o, = $8550, = $85,300, n=43, and o, S8555 Complete the 95% confidence interval for u -p below. (Round to the nearest dollar as needed)

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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