Pearson eText Introductory Statistics: Exploring the World Through Data -- Instant Access (Pearson+)
Pearson eText Introductory Statistics: Exploring the World Through Data -- Instant Access (Pearson+)
3rd Edition
ISBN: 9780136880882
Author: Robert Gould, Rebecca Wong
Publisher: PEARSON+
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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.

Expert Solution & Answer
Check Mark
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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Chapter 11 Solutions

Pearson eText Introductory Statistics: Exploring the World Through Data -- Instant Access (Pearson+)

Ch. 11 - Gas Price Intervals Use the data from exercise...Ch. 11 - Gas Price Intervals Use the data from exercise...Ch. 11 - Prob. 13SECh. 11 - Baseball Position and Hits Use the data in the...Ch. 11 - Comparing F -Values from Boxplots (Example 3)...Ch. 11 - Comparing F -Values from Boxplots Refer to the...Ch. 11 - Marital Status and Cholesterol (Example 4) Refer...Ch. 11 - Marital Status and Blood Pressure Test the...Ch. 11 - Schoolwork and Class (Example 5) A random survey...Ch. 11 - TV Hours A random survey was done at a small...Ch. 11 - Schoolwork and Class Use the information for...Ch. 11 - TV Hours Use the information for exercise 11.20....Ch. 11 - Schoolwork Again Go back to the information in...Ch. 11 - TV Hours Again Go back to the information in...Ch. 11 - Pulse Rates (Example 6) Pulse rates were taken for...Ch. 11 - UCLA Music Survey The figure shows side-by-side...Ch. 11 - Commute Times by Method A survey was given to...Ch. 11 - Gas Price ANOVA Based on the following output,...Ch. 11 - Apartment Rents (Example 7) Samples of rents for...Ch. 11 - Study Hours by Major Three independent random...Ch. 11 - Salary by Type of College Information was gathered...Ch. 11 - Draft Lottery When the draft lottery for military...Ch. 11 - Reaction Times for Athletes A random sample of...Ch. 11 - Tomato Plants and Colored Light Jennifer Brogan, a...Ch. 11 - GPAs by Seating Choice A random sample of students...Ch. 11 - Reading Comprehension Sixty-six reading students...Ch. 11 - Hours of Steep and Health Status In a study done...Ch. 11 - Happiness and Age Category StatCrunch surveyed...Ch. 11 - Prob. 41SECh. 11 - House Prices Tukey HSD confidence intervals (with...Ch. 11 - GPA and Row (Example 8) A random sample of...Ch. 11 - Reading Scores by Teaching Method Refer to...Ch. 11 - Reaction Distances Use the data given in exercise...Ch. 11 - Study Hours Use the data given in exercise 11.32....Ch. 11 - Prob. 47SECh. 11 - Tomatoes Use the data given in exercise 11.36....Ch. 11 - Concern over Nuclear Power Following the...Ch. 11 - Social Media Use A StatCrunch survey asked...Ch. 11 - Happiness and Age Consider the data from the...Ch. 11 - GPA and Row Number Suppose you collect data on...Ch. 11 - Contacting Mother Professors of ethics (Eth),...Ch. 11 - Ideal Percentage to Charity Professors of ethics...Ch. 11 - Actual Percentage to Charity Professors of ethics...Ch. 11 - Hours of Television by Age Group The StatCrunch...Ch. 11 - Triglycerides and Gender Using the NHANES data, we...Ch. 11 - Cholesterol and Gender Using NHANES data, we...
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