To construct a confidence interval for the difference between two population means $ \mu_1 - \mu_2 $, use the formula shown below when both population standard deviations are known, and either both populations are normally distributed or both $ n_1 \geq 30 $ and $ n_2 \geq 30 $. Also, the samples must be randomly selected and independent.\[(\overline{x}_1 - \overline{x}_2) - z_c \sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2}} < \mu_1 - \mu_2 < (\overline{x}_1 - \overline{x}_2) + z_c \sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2}}\]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.\[\overline{x}_1 = \$108,570, \quad n_1 = 39, \quad \sigma_1 = \$8650; \quad \overline{x}_2 = \$85,690, \quad n_2 = 42, \quad \sigma_2 = \$8625\]Complete the 95% confidence interval for $ \mu_1 - \mu_2 $ below:\[\$[ \] < \mu_1 - \mu_2 < \$[ \]\]*(Round to the nearest dollar as needed.)*

Given : For Sample 1 x̄1 = 108570 σ1 =8650 n1 =39 For Sample 2…

Answered: dmerence beiween two population means 1…

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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dmerence beiween two population means 1 "P2. shown beloww when boih population deviations are khown, and elther boin populations are hormally distributed or boih n1 and n2 2 30. Also, the samples must be randomly selected and independent. (X, - X2) - Z.