2 0²/2 (x₁-x₂)-Zc + + n₁ n₂ n₁. n₂ The descriptive statistics for the annual salaries from a random sample of microbiologists fre salaries. X₁ = $106,760, n₁ = 44, and ₁ = $9220; X₂ = $85,230, n₂ = 38, and 2 = $9200 <μ₁ −μ₂ < (X₁-x₂) ܕܘ ܐܘ + Zc
2 0²/2 (x₁-x₂)-Zc + + n₁ n₂ n₁. n₂ The descriptive statistics for the annual salaries from a random sample of microbiologists fre salaries. X₁ = $106,760, n₁ = 44, and ₁ = $9220; X₂ = $85,230, n₂ = 38, and 2 = $9200 <μ₁ −μ₂ < (X₁-x₂) ܕܘ ܐܘ + Zc
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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Question
![Complete the 95% confidence interval for \( \mu_1 - \mu_2 \) below.
\[
\$ \square < \mu_1 - \mu_2 < \$ \square
\]
(Round to the nearest dollar as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe983b18-ee33-44db-82aa-7c6bfcc1e549%2F9984bc24-07ec-4abc-abec-fa3ae94d7282%2Fgwnl82_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Complete the 95% confidence interval for \( \mu_1 - \mu_2 \) below.
\[
\$ \square < \mu_1 - \mu_2 < \$ \square
\]
(Round to the nearest dollar as needed.)
![The inequality shown is used to estimate the confidence interval for the difference between two population means:
\[
(\bar{x}_1 - \bar{x}_2) - z_c \sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2}} < \mu_1 - \mu_2 < (\bar{x}_1 - \bar{x}_2) + z_c \sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2}}
\]
**Explanation of Variables:**
- \(\bar{x}_1, \bar{x}_2\): Sample means
- \(\sigma_1, \sigma_2\): Standard deviations of the samples
- \(n_1, n_2\): Sample sizes
- \(z_c\): Z-score corresponding to the confidence level
- \(\mu_1, \mu_2\): Population means
**Statement:**
The descriptive statistics for the annual salaries from a random sample of microbiologists from two regions are as follows:
- \(\bar{x}_1 = \$106,760\), \(n_1 = 44\), and \(\sigma_1 = \$9,220\)
- \(\bar{x}_2 = \$85,230\), \(n_2 = 38\), and \(\sigma_2 = \$9,220\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe983b18-ee33-44db-82aa-7c6bfcc1e549%2F9984bc24-07ec-4abc-abec-fa3ae94d7282%2Ft9mbcaa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The inequality shown is used to estimate the confidence interval for the difference between two population means:
\[
(\bar{x}_1 - \bar{x}_2) - z_c \sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2}} < \mu_1 - \mu_2 < (\bar{x}_1 - \bar{x}_2) + z_c \sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2}}
\]
**Explanation of Variables:**
- \(\bar{x}_1, \bar{x}_2\): Sample means
- \(\sigma_1, \sigma_2\): Standard deviations of the samples
- \(n_1, n_2\): Sample sizes
- \(z_c\): Z-score corresponding to the confidence level
- \(\mu_1, \mu_2\): Population means
**Statement:**
The descriptive statistics for the annual salaries from a random sample of microbiologists from two regions are as follows:
- \(\bar{x}_1 = \$106,760\), \(n_1 = 44\), and \(\sigma_1 = \$9,220\)
- \(\bar{x}_2 = \$85,230\), \(n_2 = 38\), and \(\sigma_2 = \$9,220\)
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