Exam 13: Inference About Comparing Two Populations

The variance of $\bar { x } _ { 1 } - \bar { x } _ { 2 }$ is $V \left( \bar { x } _ { 1 } - \bar { x } _ { 2 } \right) = \frac { \sigma _ { 1 } ^ { 2 } } { n _ { 1 } } - \frac { \sigma _ { 2 } ^ { 2 } } { n _ { 2 } }$ .

(True/False)

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Question 161

A political analyst in Iowa surveys a random sample of registered Democrats and compares the results with those obtained from a random sample of registered Republicans. This would be an example of ____________________ samples.

(Short Answer)

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Question 162

We use a t-test to determine whether two population variances are equal.

(True/False)

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Question 163

The number of degrees of freedom associated with the t-test, when the data are gathered from a matched pairs experiment with 8 pairs, is 7.

(True/False)

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Question 164

When testing $H _ { 0 } : \mu _ { 1 } - \mu _ { 2 } = 0$ vs. $H _ { 1 } : \mu _ { 1 } - \mu _ { 2 } \neq 0$ , the observed value of the z-score was found to be -2.15. Then, the p-value for this test would be

(Multiple Choice)

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Question 165

Pooling is made possible by hypothesizing (under the null hypothesis) that p₁ __________ p₂.

(Short Answer)

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Question 166

The variance of the difference in sample proportions equals the difference of their population variances.

(True/False)

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Question 167

In comparing two population means the statistic under consideration is $\hat { p } _ { 1 } - \hat { p } _ { 2 }$ .

(True/False)

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Question 168

The variance of $\bar { x } _ { 1 } - \bar { x } _ { 2 }$ is $V \left( \bar { x } _ { 1 } - \bar { x } _ { 2 } \right) = \frac { \sigma _ { 1 } ^ { 2 } } { n _ { 1 } } - \frac { \sigma _ { 2 } ^ { 2 } } { n _ { 2 } }$ .

A political analyst in Iowa surveys a random sample of registered Democrats and compares the results with those obtained from a random sample of registered Republicans. This would be an example of ____________________ samples.

We use a t-test to determine whether two population variances are equal.

The number of degrees of freedom associated with the t-test, when the data are gathered from a matched pairs experiment with 8 pairs, is 7.

When testing $H _ { 0 } : \mu _ { 1 } - \mu _ { 2 } = 0$ vs. $H _ { 1 } : \mu _ { 1 } - \mu _ { 2 } \neq 0$ , the observed value of the z-score was found to be -2.15. Then, the p-value for this test would be

Pooling is made possible by hypothesizing (under the null hypothesis) that p₁ __________ p₂.

The variance of the difference in sample proportions equals the difference of their population variances.

In comparing two population means the statistic under consideration is $\hat { p } _ { 1 } - \hat { p } _ { 2 }$ .

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Analysis of Variance

Chi-Squared Tests Optional

Simple Linear Regression and Correlation

Multiple Regression

Filters

Exam 13: Inference About Comparing Two Populations

A political analyst in Iowa surveys a random sample of registered Democrats and compares the results with those obtained from a random sample of registered Republicans. This would be an example of ____________________ samples.

We use a t-test to determine whether two population variances are equal.

The number of degrees of freedom associated with the t-test, when the data are gathered from a matched pairs experiment with 8 pairs, is 7.

When testing H0:μ1−μ2=0H _ { 0 } : \mu _ { 1 } - \mu _ { 2 } = 0H0​:μ1​−μ2​=0 vs. H1:μ1−μ2≠0H _ { 1 } : \mu _ { 1 } - \mu _ { 2 } \neq 0H1​:μ1​−μ2​=0 , the observed value of the z-score was found to be -2.15. Then, the p-value for this test would be

Pooling is made possible by hypothesizing (under the null hypothesis) that p1 __________ p2.

The variance of the difference in sample proportions equals the difference of their population variances.

In comparing two population means the statistic under consideration is p^1−p^2\hat { p } _ { 1 } - \hat { p } _ { 2 }p^​1​−p^​2​ .

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Analysis of Variance

Chi-Squared Tests Optional

Simple Linear Regression and Correlation

Multiple Regression

Filters

When testing $H _ { 0 } : \mu _ { 1 } - \mu _ { 2 } = 0$ vs. $H _ { 1 } : \mu _ { 1 } - \mu _ { 2 } \neq 0$ , the observed value of the z-score was found to be -2.15. Then, the p-value for this test would be

Pooling is made possible by hypothesizing (under the null hypothesis) that p₁ __________ p₂.

In comparing two population means the statistic under consideration is $\hat { p } _ { 1 } - \hat { p } _ { 2 }$ .