In Exercises 11.1 and 11.2, for each situation, choose the appropriate test: one-sample t -test, two-sample t -test, ANOVA, or chi-square test. a. You want to test whether there is an association between a categorical variable and a numerical variable. For example, you want to test whether there is an association between type of apartment (studio, one-bedroom, or two-bedroom) and monthly rent. b. You want to test whether the means of a numerical variable are different for two possible values of a categorical variable. For example, you want to test whether the mean income of paramedics is the same for male and female paramedics.

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Answer 1

Textbook Question

Chapter 11, Problem 1SE

In Exercises 11.1 and 11.2, for each situation, choose the appropriate test: one-sample t -test, two-sample t -test, ANOVA, or chi-square test.

a. You want to test whether there is an association between a categorical variable and a

numerical variable. For example, you want to test whether there is an association between type

of apartment (studio, one-bedroom, or two-bedroom) and monthly rent.

b. You want to test whether the means of a numerical variable are different for two possible

values of a categorical variable. For example, you want to test whether the mean income of

paramedics is the same for male and female paramedics.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution & Answer

To determine

Determine the appropriate test for the following situations:

a. To test whether there is an association between type of apartment and monthly rent.

b. To test whether the mean income of paramedics is same for male and female paramedics.

Answer to Problem 1SE

a. ANOVA test is used to test the association between type of apartment (categorical variable) and monthly rent (numerical variable).

b. Two sample t-test is used to test whether the mean income of paramedics is same for male and female paramedics.

Explanation of Solution

a.

ANOVA is a parametric statistical test which is used to test the differences among the group means in sample or population. In ANOVA test we assumed that the sample is drawn from normally distributed population and the population variance is equal.

In the provided case one variable is numeric (monthly rent) and other variable is categorical (studio, one-bedroom, two-bedroom). So, there are 3 groups and ANOVA is the only parametric test which is used to compare the means of more than two populations.

b.

Two-sample t- test is used to test whether the population means of two independent groups are equal or not. So, two-sample t- test is a suitable test to test whether the mean income of paramedics of male and female categories is equal or not.

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Answer 2

Textbook Question

Chapter 11, Problem 1SE

In Exercises 11.1 and 11.2, for each situation, choose the appropriate test: one-sample t -test, two-sample t -test, ANOVA, or chi-square test.

a. You want to test whether there is an association between a categorical variable and a

numerical variable. For example, you want to test whether there is an association between type

of apartment (studio, one-bedroom, or two-bedroom) and monthly rent.

b. You want to test whether the means of a numerical variable are different for two possible

values of a categorical variable. For example, you want to test whether the mean income of

paramedics is the same for male and female paramedics.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution & Answer

To determine

Determine the appropriate test for the following situations:

a. To test whether there is an association between type of apartment and monthly rent.

b. To test whether the mean income of paramedics is same for male and female paramedics.

Answer to Problem 1SE

a. ANOVA test is used to test the association between type of apartment (categorical variable) and monthly rent (numerical variable).

b. Two sample t-test is used to test whether the mean income of paramedics is same for male and female paramedics.

Explanation of Solution

a.

ANOVA is a parametric statistical test which is used to test the differences among the group means in sample or population. In ANOVA test we assumed that the sample is drawn from normally distributed population and the population variance is equal.

In the provided case one variable is numeric (monthly rent) and other variable is categorical (studio, one-bedroom, two-bedroom). So, there are 3 groups and ANOVA is the only parametric test which is used to compare the means of more than two populations.

b.

Two-sample t- test is used to test whether the population means of two independent groups are equal or not. So, two-sample t- test is a suitable test to test whether the mean income of paramedics of male and female categories is equal or not.

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Answer 3

Textbook Question

Chapter 11, Problem 1SE

In Exercises 11.1 and 11.2, for each situation, choose the appropriate test: one-sample t -test, two-sample t -test, ANOVA, or chi-square test.

a. You want to test whether there is an association between a categorical variable and a

numerical variable. For example, you want to test whether there is an association between type

of apartment (studio, one-bedroom, or two-bedroom) and monthly rent.

b. You want to test whether the means of a numerical variable are different for two possible

values of a categorical variable. For example, you want to test whether the mean income of

paramedics is the same for male and female paramedics.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution & Answer

To determine

Determine the appropriate test for the following situations:

a. To test whether there is an association between type of apartment and monthly rent.

b. To test whether the mean income of paramedics is same for male and female paramedics.

Answer to Problem 1SE

a. ANOVA test is used to test the association between type of apartment (categorical variable) and monthly rent (numerical variable).

b. Two sample t-test is used to test whether the mean income of paramedics is same for male and female paramedics.

Explanation of Solution

a.

ANOVA is a parametric statistical test which is used to test the differences among the group means in sample or population. In ANOVA test we assumed that the sample is drawn from normally distributed population and the population variance is equal.

In the provided case one variable is numeric (monthly rent) and other variable is categorical (studio, one-bedroom, two-bedroom). So, there are 3 groups and ANOVA is the only parametric test which is used to compare the means of more than two populations.

b.

Two-sample t- test is used to test whether the population means of two independent groups are equal or not. So, two-sample t- test is a suitable test to test whether the mean income of paramedics of male and female categories is equal or not.

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Answer 4

Textbook Question

Chapter 11, Problem 1SE

In Exercises 11.1 and 11.2, for each situation, choose the appropriate test: one-sample t -test, two-sample t -test, ANOVA, or chi-square test.

a. You want to test whether there is an association between a categorical variable and a

numerical variable. For example, you want to test whether there is an association between type

of apartment (studio, one-bedroom, or two-bedroom) and monthly rent.

b. You want to test whether the means of a numerical variable are different for two possible

values of a categorical variable. For example, you want to test whether the mean income of

paramedics is the same for male and female paramedics.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution & Answer

To determine

Determine the appropriate test for the following situations:

a. To test whether there is an association between type of apartment and monthly rent.

b. To test whether the mean income of paramedics is same for male and female paramedics.

Answer to Problem 1SE

a. ANOVA test is used to test the association between type of apartment (categorical variable) and monthly rent (numerical variable).

b. Two sample t-test is used to test whether the mean income of paramedics is same for male and female paramedics.

Explanation of Solution

a.

ANOVA is a parametric statistical test which is used to test the differences among the group means in sample or population. In ANOVA test we assumed that the sample is drawn from normally distributed population and the population variance is equal.

In the provided case one variable is numeric (monthly rent) and other variable is categorical (studio, one-bedroom, two-bedroom). So, there are 3 groups and ANOVA is the only parametric test which is used to compare the means of more than two populations.

b.

Two-sample t- test is used to test whether the population means of two independent groups are equal or not. So, two-sample t- test is a suitable test to test whether the mean income of paramedics of male and female categories is equal or not.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

Determine the appropriate test for the following situations:

a. To test whether there is an association between type of apartment and monthly rent.

b. To test whether the mean income of paramedics is same for male and female paramedics.

Answer to Problem 1SE

a. ANOVA test is used to test the association between type of apartment (categorical variable) and monthly rent (numerical variable).

b. Two sample t-test is used to test whether the mean income of paramedics is same for male and female paramedics.

Explanation of Solution

a.

ANOVA is a parametric statistical test which is used to test the differences among the group means in sample or population. In ANOVA test we assumed that the sample is drawn from normally distributed population and the population variance is equal.

In the provided case one variable is numeric (monthly rent) and other variable is categorical (studio, one-bedroom, two-bedroom). So, there are 3 groups and ANOVA is the only parametric test which is used to compare the means of more than two populations.

b.

Two-sample t- test is used to test whether the population means of two independent groups are equal or not. So, two-sample t- test is a suitable test to test whether the mean income of paramedics of male and female categories is equal or not.

Answer 8

Expert Solution & Answer

To determine

Determine the appropriate test for the following situations:

a. To test whether there is an association between type of apartment and monthly rent.

b. To test whether the mean income of paramedics is same for male and female paramedics.

Answer to Problem 1SE

a. ANOVA test is used to test the association between type of apartment (categorical variable) and monthly rent (numerical variable).

b. Two sample t-test is used to test whether the mean income of paramedics is same for male and female paramedics.

Explanation of Solution

a.

ANOVA is a parametric statistical test which is used to test the differences among the group means in sample or population. In ANOVA test we assumed that the sample is drawn from normally distributed population and the population variance is equal.

In the provided case one variable is numeric (monthly rent) and other variable is categorical (studio, one-bedroom, two-bedroom). So, there are 3 groups and ANOVA is the only parametric test which is used to compare the means of more than two populations.

b.

Two-sample t- test is used to test whether the population means of two independent groups are equal or not. So, two-sample t- test is a suitable test to test whether the mean income of paramedics of male and female categories is equal or not.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

Determine the appropriate test for the following situations:

a. To test whether there is an association between type of apartment and monthly rent.

b. To test whether the mean income of paramedics is same for male and female paramedics.

Answer 12

Answer to Problem 1SE

a. ANOVA test is used to test the association between type of apartment (categorical variable) and monthly rent (numerical variable).

b. Two sample t-test is used to test whether the mean income of paramedics is same for male and female paramedics.

Answer 13

Explanation of Solution

a.

ANOVA is a parametric statistical test which is used to test the differences among the group means in sample or population. In ANOVA test we assumed that the sample is drawn from normally distributed population and the population variance is equal.

In the provided case one variable is numeric (monthly rent) and other variable is categorical (studio, one-bedroom, two-bedroom). So, there are 3 groups and ANOVA is the only parametric test which is used to compare the means of more than two populations.

b.

Two-sample t- test is used to test whether the population means of two independent groups are equal or not. So, two-sample t- test is a suitable test to test whether the mean income of paramedics of male and female categories is equal or not.

Answer 14

Ch. 11 - In Exercises 11.1 and 11.2, for each situation,...Ch. 11 - In Exercises 11.1 and 11.2, for each situation,...Ch. 11 - Bonferroni Correction (Example 1) Suppose you have...Ch. 11 - Prob. 4SE Ch. 11 - Apartment Rents Random samples of rents for...Ch. 11 - Prob. 6SE Ch. 11 - Gas Prices The website Gasbuddy.com reports the...Ch. 11 - More Gas Prices The following table shows the...Ch. 11 - Prob. 9SE Ch. 11 - Prob. 10SE

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