If two random samples of sizes $n _ { 1 }$ and $n _ { 2 }$ are selected independently from two populations with variances $\sigma _ { 1 } ^ { 2 }$ and $\sigma _ { 2 } ^ { 2 }$ , then the standard error of the sampling distribution of the sample mean difference, $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ , equals: $\begin{array}{|l|l|} \hline A&\sqrt{\left(\sigma_{1}^{2}-\sigma_{2}^{2}\right) / n_{1} n_{2}} .\\ \hline B&\sqrt{\left(\sigma_{1}^{2}+\sigma_{2}^{2}\right) / n_{1} n_{2}} .\\ \hline C&\sqrt{\frac{\sigma_{1}^{2}}{n_{1}}-\frac{\sigma_{2}^{2}}{n_{2}}}\\ \hline D&\sqrt{\frac{\sigma_{1}^{2}}{n_{1}}+\frac{\sigma_{2}^{2}}{n_{2}}} .\\ \hline \end{array}$

The answer of If two random samples of sizes \(n...

A study is trying to estimate the difference between the annual salaries paid to female and male employees working for the same large company. They take a random sample of 50 females and find that their average annual salary is $75 600 with a variance of $21 250. They take a random sample of 50 males and find that their average annual salary is $78 500 with a variance of $22 500. Find and interpret a 95% confidence interval for the difference in annual salaries for female and male employees of this large company.

(75,600 - 78,500) ± 1.984 (8.6

Exam 12: Estimation: Comparing Two Populations

If two random samples of sizes $n _ { 1 }$ and $n _ { 2 }$ are selected independently from two populations with variances $\sigma _ { 1 } ^ { 2 }$ and $\sigma _ { 2 } ^ { 2 }$ , then the standard error of the sampling distribution of the sample mean difference, $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ , equals: A . B . C D .

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Question 21

A study is trying to estimate the difference between the annual salaries paid to female and male employees working for the same large company. They take a random sample of 50 females and find that their average annual salary is $75 600 with a variance of $²1 250. They take a random sample of 50 males and find that their average annual salary is $78 500 with a variance of $²2 500. Find and interpret a 95% confidence interval for the difference in annual salaries for female and male employees of this large company.

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Question 22

For a matched pairs experiment, find a 90% confidence interval for µ_D given that sample mean differences is 5, the standard deviation of differences is 3 and the sample sizes are 30.

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Question 23

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For a matched pairs experiment, find a 90% confidence interval for µ_D given that sample mean differences is 5, the standard deviation of differences is 3 and the sample sizes are 30.

What Is Statistics

Types of Data, Data Collection and Sampling

Graphical Descriptive Methods Nominal Data

Graphical Descriptive Techniques Numerical Data

Numerical Descriptive Measures

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Statistical Inference: Introduction

Sampling Distributions

Estimation: Describing a Single Population

Hypothesis Testing: Describing a Single Population

Hypothesis Testing: Comparing Two Populations

Inference About Population Variances

Analysis of Variance

Additional Tests for Nominal Data: Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Techniques

Statistical Inference: Conclusion

Time-Series Analysis and Forecasting

Index Numbers

Decision Analysis

Filters

Exam 12: Estimation: Comparing Two Populations

For a matched pairs experiment, find a 90% confidence interval for µD given that sample mean differences is 5, the standard deviation of differences is 3 and the sample sizes are 30.

What Is Statistics

Types of Data, Data Collection and Sampling

Graphical Descriptive Methods Nominal Data

Graphical Descriptive Techniques Numerical Data

Numerical Descriptive Measures

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Statistical Inference: Introduction

Sampling Distributions

Estimation: Describing a Single Population

Hypothesis Testing: Describing a Single Population

Hypothesis Testing: Comparing Two Populations

Inference About Population Variances

Analysis of Variance

Additional Tests for Nominal Data: Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Techniques

Statistical Inference: Conclusion

Time-Series Analysis and Forecasting

Index Numbers

Decision Analysis

Filters

For a matched pairs experiment, find a 90% confidence interval for µ_D given that sample mean differences is 5, the standard deviation of differences is 3 and the sample sizes are 30.