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Chapter 12: Q. 7 (page 800)

Which of the following is a categorical variable?

(a) The weight of automobiles

(b) The time required to complete the Olympic marathon

(c) The average gas mileage of a hybrid car

(d) The brand of shampoo purchased by shoppers in a

grocery store

(e) The average closing price of a particular stock on the

New York Stock Exchange

Short Answer

Expert verified

The final answer is an option (d) The brand of shampoo purchased by shoppers in a grocery store.

Step by step solution

01

Given Information

We need to find the categorical variable from the given options.

02

Explanation

We know, that a categorical variable contains a finite amount of categories. An example is, roll a die, categories are (1,2,3,4,5,6).

For option a: Weights are in pounds which are not in categories.

For option b: Time is in seconds/minutes which is not a category.

For option c: The average gas per mile for a hybrid car is in mpg which is not a category (well technically empg, but doesn't change the context)

For option d: There are only a limited number of brands for shampoo. This is categorical.

For option e: The average closing price is in dollars and cents which is not a categorical value.

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Most popular questions from this chapter

Beer and BAC How well does the number of beers a person drinks predict his or her blood alcohol content (BAC)? Sixteen volunteers with an initial BAC of 0drank a randomly assigned number of cans of beer. Thirty minutes later, a police officer measured their BAC. Least-squares regression was performed on the data. A residual plot and a histogram of the residuals are shown below. Check whether the conditions for performing inference about the regression model are met.

Weeds among the corn Refer to Exercise 13.

(a) Construct and interpret a 90% confidence interval for the slope of the true regression line. Explain how your results are consistent with the significance test in Exercise 13.

(b) Interpret each of the following in context:

(i) 8

(ii) r2

(iii) The standard error of the slope

Inference about the slope 尾of a least-squares regression line is based on which of the following distributions?

(a) The t distribution with n-1degrees of freedom

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(c) The chi-square distribution with n-1degrees of freedom

(d) The t distribution with n-2degrees of freedom

(e) The Normal distribution with mean 渭and standard deviation蟽

A distribution of exam scores has mean 60and standard deviation 18. If each score is doubled, and then 5is subtracted from that result, what will be the mean and standard deviation, respectively, of the new scores?

(a) mean=115and standard deviation=31

(b) mean=115and standard deviation=36

(c) mean=120and standard deviation=6

(d) mean=120and standard deviation=31

(e) mean=120 and standard deviation=36

A survey 铿乺m wants to ask a random sample of adults in Ohio if they support an increase in the state sales tax from 5%% to 6%, with the additional revenue going to education. Let p^denote the proportion in the sample who say that they support the increase. Suppose that 40%of all adults in Ohio support the increase. How large a sample would be needed to guarantee that the standard deviation of p^is no more than 0.01?

(a)1500

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(e)9220
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