Exam 18: Review of Statistical Inference

In a chi-squared test of a contingency table, the value of the test statistic was $\chi$ ² = 15.652, and the critical value at $\alpha$ = 0.025 was 11.1433. Thus, we must reject the null hypothesis at $\alpha$ = 0.025.

(True/False)

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Question 21

A chi-squared goodness-of-fit test is always conducted as a(n):

(Multiple Choice)

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Question 22

Correlation analysis is used to determine whether there is a linear relationship between an independent variable x and a dependent variable y.

(True/False)

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Question 23

The distribution of the test statistic for analysis of variance is the:

(Multiple Choice)

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Question 24

The regression line has been fitted to the data points (4, 8), (2, 5), and (1, 2). The sum of the squared residuals will be:

(Multiple Choice)

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Question 25

The residual is defined as the difference between:

(Multiple Choice)

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Question 26

The coefficient of determination R² measures the proportion of variation in y that is explained by the explanatory variables included in the model.

(True/False)

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Question 27

When comparing two population variances, we use the ratio rather than the difference .

(True/False)

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Question 28

A test statistic that lies in the far right tail of the chi-squared distribution indicates you will ____________________ H₀.

(Short Answer)

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Question 29

How does a multinomial distribution differ from a binomial distribution?

(Multiple Choice)

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Question 30

If two events A and B are independent, the P(A and B) = P(A) + P(B).

(True/False)

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Question 31

Explain what is meant by the rule of five and what you should do if this rule is not met.

(Essay)

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Question 32

Random samples from two normal populations produced the following statistics: , , , and . Is there enough evidence at the 5% significance level to infer that the variance of Population 1 is larger than the variance of Population 2?

(Essay)

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Question 33

The expected value of is .

(True/False)

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Question 34

The test statistic for the chi-squared test of a contingency table is the same as the test statistic for the goodness-of-fit test.

(True/False)

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Question 35

Two measurements from the same individuals is an example of data collected from a(n) ____________________ experiment.

(Short Answer)

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Question 36

A zero population correlation coefficient for x and y means that there is no type of relationship whatsoever between x and y.

(True/False)

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Question 37

The primary interest of designing a randomized block experiment is to:

(Multiple Choice)

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Question 38

A pharmaceutical company has just developed a new capsule to alleviate the symptoms of allergies and colds. However, they are concerned about the variability in the amount of time until the drug becomes effective. In a random sample of 10 individuals who suffer from allergies, the amount of time (in hours) for the capsule to take effect was recorded and listed as follows: 5, 7, 6, 10, 9, 12, 8, 17, 4, and 16. Estimate with 90% confidence the variance of the time for the drug to become effective.

(Essay)

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Question 39

The expected value of the difference of two sample means equals the difference of the corresponding population means when:

(Multiple Choice)

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Question 40

Showing 21 - 40 of 182

In a chi-squared test of a contingency table, the value of the test statistic was $\chi$ ² = 15.652, and the critical value at $\alpha$ = 0.025 was 11.1433. Thus, we must reject the null hypothesis at $\alpha$ = 0.025.

A chi-squared goodness-of-fit test is always conducted as a(n):

Correlation analysis is used to determine whether there is a linear relationship between an independent variable x and a dependent variable y.

The distribution of the test statistic for analysis of variance is the:

The regression line has been fitted to the data points (4, 8), (2, 5), and (1, 2). The sum of the squared residuals will be:

The residual is defined as the difference between:

The coefficient of determination R² measures the proportion of variation in y that is explained by the explanatory variables included in the model.

When comparing two population variances, we use the ratio rather than the difference .

A test statistic that lies in the far right tail of the chi-squared distribution indicates you will ____________________ H₀.

How does a multinomial distribution differ from a binomial distribution?

If two events A and B are independent, the P(A and B) = P(A) + P(B).

Explain what is meant by the rule of five and what you should do if this rule is not met.

Random samples from two normal populations produced the following statistics: , , , and . Is there enough evidence at the 5% significance level to infer that the variance of Population 1 is larger than the variance of Population 2?

The expected value of is .

The test statistic for the chi-squared test of a contingency table is the same as the test statistic for the goodness-of-fit test.

Two measurements from the same individuals is an example of data collected from a(n) ____________________ experiment.

A zero population correlation coefficient for x and y means that there is no type of relationship whatsoever between x and y.

The primary interest of designing a randomized block experiment is to:

The expected value of the difference of two sample means equals the difference of the corresponding population means when:

What Is Statistics

Graphical and Tabular Descriptive Techniques

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

Inference About Comparing Two Populations, Part 1

Inference About Comparing Two Populations, Part 2

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Filters

Exam 18: Review of Statistical Inference

In a chi-squared test of a contingency table, the value of the test statistic was χ\chiχ 2 = 15.652, and the critical value at α\alphaα = 0.025 was 11.1433. Thus, we must reject the null hypothesis at α\alphaα = 0.025.

A chi-squared goodness-of-fit test is always conducted as a(n):

Correlation analysis is used to determine whether there is a linear relationship between an independent variable x and a dependent variable y.

The distribution of the test statistic for analysis of variance is the:

The regression line has been fitted to the data points (4, 8), (2, 5), and (1, 2). The sum of the squared residuals will be:

The residual is defined as the difference between:

The coefficient of determination R2 measures the proportion of variation in y that is explained by the explanatory variables included in the model.

When comparing two population variances, we use the ratio rather than the difference .

A test statistic that lies in the far right tail of the chi-squared distribution indicates you will ____________________ H0.

How does a multinomial distribution differ from a binomial distribution?

If two events A and B are independent, the P(A and B) = P(A) + P(B).

Explain what is meant by the rule of five and what you should do if this rule is not met.

Random samples from two normal populations produced the following statistics: , , , and . Is there enough evidence at the 5% significance level to infer that the variance of Population 1 is larger than the variance of Population 2?

The expected value of is .

The test statistic for the chi-squared test of a contingency table is the same as the test statistic for the goodness-of-fit test.

Two measurements from the same individuals is an example of data collected from a(n) ____________________ experiment.

A zero population correlation coefficient for x and y means that there is no type of relationship whatsoever between x and y.

The primary interest of designing a randomized block experiment is to:

The expected value of the difference of two sample means equals the difference of the corresponding population means when:

What Is Statistics

Graphical and Tabular Descriptive Techniques

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

Inference About Comparing Two Populations, Part 1

Inference About Comparing Two Populations, Part 2

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Filters

In a chi-squared test of a contingency table, the value of the test statistic was $\chi$ ² = 15.652, and the critical value at $\alpha$ = 0.025 was 11.1433. Thus, we must reject the null hypothesis at $\alpha$ = 0.025.

The coefficient of determination R² measures the proportion of variation in y that is explained by the explanatory variables included in the model.

A test statistic that lies in the far right tail of the chi-squared distribution indicates you will ____________________ H₀.