Question 1

The statistic ( n - 1)s 2 \ s 2 has a chi-squared distribution with n - 1 degrees of freedom if:

Accepted Answer

A) the sample has a Student t -distribution with degrees of freedom equal to n - 1. 
B) the sample is normally distributed with variance equal to s 2. 
C) the population is normally distributed with variance equal to s 2. 
D) All of these choices are true. 
A) the sample has a Student t -distribution with degrees of freedom equal to n - 1. 
B) the sample is normally distributed with variance equal to s 2. 
C) the population is normally distributed with variance equal to s 2. 
D) All of these choices are true. C

Question 2

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.

Accepted Answer

We estimate that the variance of the time for the drug to become effective lies between 10.426 and 53.051.

Question 3

To determine whether data were drawn from a multinomial distribution with certain proportions, you use a:

Accepted Answer

A) chi-squared goodness-of-fit test. 
B) chi-squared test of a contingency table. 
C) chi-squared test for normality. 
D) None of these choices. 
A) chi-squared goodness-of-fit test. 
B) chi-squared test of a contingency table. 
C) chi-squared test for normality. 
D) None of these choices. A

Question 4

The value of the sum of squares for regression SSR can never be smaller than 0.0.

Accepted Answer

A) True 
 B)False

Question 5

In the simple linear regression model, the y -intercept represents the:

Accepted Answer

A) change in y per unit change in x . 
B) change in x per unit change in y . 
C) value of y when x = 0. 
D) value of x when y = 0. 
A) change in y per unit change in x . 
B) change in x per unit change in y . 
C) value of y when x = 0. 
D) value of x when y = 0.

Question 6

The F -test used in one-way ANOVA is an extension of the t -test of m 1 - m 2.

Accepted Answer

A) True 
 B)False

Question 7

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

Accepted Answer

A) True 
 B)False

Question 8

The statistic   when the sampled population is normal is Student t -distributed with n degrees of freedom.

Accepted Answer

A) True 
 B)False

Question 9

For a 99% confidence interval of the population mean based on a sample of n = 25 with s = 0.05, the critical value of t is:

Accepted Answer

A) 2.7969 
B) 2.7874 
C) 2.4922 
D) 2.4851 
A) 2.7969 
B) 2.7874 
C) 2.4922 
D) 2.4851

Question 10

When k = 2 the ____________________ experiment is identical to the ____________________ experiment.

Accepted Answer

multinomia

Question 11

A Deli proposes to serve 4 main Sandwiches. For planning purposes, the manager expects that the proportions of each that will be selected by her customers will be:   Of a random sample of 100 customers, 44 selected chicken, 24 selected roast beef, 13 selected Pastrami, and 10 selected tuna. Should the manager revise her estimates? Use a = 0.01.

Accepted Answer

H ₀: p ₁ = 0.50, p ₂ = 0.20, p ₃ = 0.10, p ₄

Question 12

In multiple regression analysis, the ratio MSR\MSE yields the:

Accepted Answer

A) t -test statistic for testing each individual regression coefficient. 
B) F -test statistic for testing the validity of the regression equation. 
C) coefficient of determination. 
D) adjusted coefficient of determination. 
A) t -test statistic for testing each individual regression coefficient. 
B) F -test statistic for testing the validity of the regression equation. 
C) coefficient of determination. 
D) adjusted coefficient of determination.

Question 13

In testing for a mean difference the null hypothesis is:

Accepted Answer

A)    
B)    
C)    
D) None of these choices. 
A)    
B)    
C)    
D) None of these choices.

Question 14

If all the points in a scatter diagram lie on the least squares regression line, then the coefficient of correlation must be 1.0.

Accepted Answer

A) True 
 B)False

Question 15

Consider the following statistics of a multiple regression model: Total variation in y = 1000, SSE = 300, n = 50, and k = 4. 
 a. Determine the standard error of estimate. 
 b. Determine the coefficient of determination. 
 c. Determine the F -statistic.

Accepted Answer

a. s_e = 2.582 b. R

Question 16

Two uses for the population variance are to measure risk and consistency.

Accepted Answer

A) True 
 B)False

Question 17

Which of the following represents H 1 in a chi-squared goodness-of-fit test to see if all 5 colors of a certain candy appear in the same proportion in the population?

Accepted Answer

A) H 1: p 1 = p 2 = p 3 = p 4 = p 5 = 0.20. 
B) H 1: At least one proportion is not equal to 0.20. 
C) H 1: None of these proportions are equal. 
D) None of these choices. 
A) H 1: p 1 = p 2 = p 3 = p 4 = p 5 = 0.20. 
B) H 1: At least one proportion is not equal to 0.20. 
C) H 1: None of these proportions are equal. 
D) None of these choices.

Question 18

A test is being conducted to test the difference between two population means using data that are gathered from a matched pairs experiment. If the paired differences are normal, then the distribution used for testing is the:

Accepted Answer

A) normal distribution. 
B) binomial distribution. 
C) Student t -distribution. 
D) F -distribution. 
A) normal distribution. 
B) binomial distribution. 
C) Student t -distribution. 
D) F -distribution.

Question 19

A multiple regression model has:

Accepted Answer

A) only one independent variable. 
B) only two independent variables. 
C) more than one dependent variable. 
D) more than one independent variable. 
A) only one independent variable. 
B) only two independent variables. 
C) more than one dependent variable. 
D) more than one independent variable.

Question 20

For testing the difference between two population proportions, the pooled proportion estimate should be used to compute the value of the test statistic when the:

Accepted Answer

A) populations are normally distributed. 
B) sample sizes are small. 
C) null hypothesis states that the two population proportions are equal. 
D) samples are independently drawn from the populations. 
A) populations are normally distributed. 
B) sample sizes are small. 
C) null hypothesis states that the two population proportions are equal. 
D) samples are independently drawn from the populations.

The statistic ( n - 1)s ² \ s ² has a chi-squared distribution with n - 1 degrees of freedom if:

To determine whether data were drawn from a multinomial distribution with certain proportions, you use a:

The value of the sum of squares for regression SSR can never be smaller than 0.0.

In the simple linear regression model, the y -intercept represents the:

The F -test used in one-way ANOVA is an extension of the t -test of m ₁ - m ₂.

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

The statistic when the sampled population is normal is Student t -distributed with n degrees of freedom.

For a 99% confidence interval of the population mean based on a sample of n = 25 with s = 0.05, the critical value of t is:

When k = 2 the experiment is identical to the experiment.

In multiple regression analysis, the ratio MSR\MSE yields the:

In testing for a mean difference the null hypothesis is:

If all the points in a scatter diagram lie on the least squares regression line, then the coefficient of correlation must be 1.0.

Consider the following statistics of a multiple regression model: Total variation in y = 1000, SSE = 300, n = 50, and k = 4. a. Determine the standard error of estimate. b. Determine the coefficient of determination. c. Determine the F -statistic.

Two uses for the population variance are to measure risk and consistency.

Which of the following represents H ₁ in a chi-squared goodness-of-fit test to see if all 5 colors of a certain candy appear in the same proportion in the population?

A test is being conducted to test the difference between two population means using data that are gathered from a matched pairs experiment. If the paired differences are normal, then the distribution used for testing is the:

A multiple regression model has:

For testing the difference between two population proportions, the pooled proportion estimate should be used to compute the value of the test statistic when the:

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 Populat

Inference About Comparing Two Populat

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlat

Multiple Regression

Filters

Exam 18: Review of Statistical Inference

The statistic ( n - 1)s 2 \ s 2 has a chi-squared distribution with n - 1 degrees of freedom if:

To determine whether data were drawn from a multinomial distribution with certain proportions, you use a:

The value of the sum of squares for regression SSR can never be smaller than 0.0.

In the simple linear regression model, the y -intercept represents the:

The F -test used in one-way ANOVA is an extension of the t -test of m 1 - m 2.

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

The statistic when the sampled population is normal is Student t -distributed with n degrees of freedom.

For a 99% confidence interval of the population mean based on a sample of n = 25 with s = 0.05, the critical value of t is:

When k = 2 the ____________________ experiment is identical to the ____________________ experiment.

In multiple regression analysis, the ratio MSR\MSE yields the:

In testing for a mean difference the null hypothesis is:

If all the points in a scatter diagram lie on the least squares regression line, then the coefficient of correlation must be 1.0.

Consider the following statistics of a multiple regression model: Total variation in y = 1000, SSE = 300, n = 50, and k = 4. a. Determine the standard error of estimate. b. Determine the coefficient of determination. c. Determine the F -statistic.

Two uses for the population variance are to measure risk and consistency.

Which of the following represents H 1 in a chi-squared goodness-of-fit test to see if all 5 colors of a certain candy appear in the same proportion in the population?

A test is being conducted to test the difference between two population means using data that are gathered from a matched pairs experiment. If the paired differences are normal, then the distribution used for testing is the:

A multiple regression model has:

For testing the difference between two population proportions, the pooled proportion estimate should be used to compute the value of the test statistic when the:

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 Populat

Inference About Comparing Two Populat

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlat

Multiple Regression

Filters

The statistic ( n - 1)s ² \ s ² has a chi-squared distribution with n - 1 degrees of freedom if:

The F -test used in one-way ANOVA is an extension of the t -test of m ₁ - m ₂.

When k = 2 the experiment is identical to the experiment.

Which of the following represents H ₁ in a chi-squared goodness-of-fit test to see if all 5 colors of a certain candy appear in the same proportion in the population?