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Chapter 12: Q.AP4.7 - Cumulative AP Practise Test (page 828)

Which of the following is a categorical variable?

a. The weight of an automobile

b. The time required to complete the Olympic marathon

c. The fuel efficiency (in miles per gallon) of a hybrid car

d. The brand of shampoo purchased by shoppers in a grocery store

e. The closing price of a particular stock on the New York Stock Exchange

Short Answer

Expert verified

A categorical variable is option

d. The brand of shampoo purchased by shoppers in a grocery store .

Step by step solution

01

Given information 

Given in the question that, We need to find the a categorical variable from the options.

02

Explanation

The town council wants to know how many adults live in their community. A categorical variable categorises an individual, whereas a quantitative variable is a numerical quantity.

As a result, it is a quantitative variable in option (a) because the weight has numerical values.

It is a quantitative variable in option (b) since time has numerical values.

It is a quantitative variable in option (c) because the fuel efficiency has a numerical value.

Because the brands are not numerical, option (d) is a categorical variable.

It is a quantitative variable in option (e) since the closing price has numerical values.

As a result, option (d) is the proper choice.

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Most popular questions from this chapter

Two six-sided dice are rolled and the sum of the faces showing is recorded after each roll. Let X=the number of rolls required to obtain a sum greater than 7. If 100trials are conducted, which of the following is most likely to be the result of the simulation?

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Can physical activity in youth lead to mental sharpness in old age? A 2010study investigating this question involved9344randomly selected, mostly white women over age 65from four U.S. states. These women were asked about their levels of physical activity during their teenage years, 30s,50 s, and later years. Those who reported being physically active as teens enjoyed the lowest level of cognitive decline-only 8.5% had cognitive impairment-compared with 16.7% of women who reported not being physically active at that time.
(a) State an appropriate pair of hypotheses that the researchers could use to test whether the proportion of women who suffered a cognitive decline was significantly smaller for women who were physically active in their youth than for women who were not physically active at that time. Be sure to define any parameters you use.
(b) Assuming the conditions for performing inference are met, what inference method would you use to test the hypotheses you identified in part (a)? Do not carry out the test.
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a. Transform both variables using logarithms. Then calculate and state the least-squares regression line using the transformed variables.

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a. What is the estimate for β0? Interpret this value.

b. What is the estimate for β1? Interpret this value.

c. What is the estimate for σ? Interpret this value.

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Which sampling method was used in each of the following settings, in order from I to IV?

I. A student chooses to survey the first 20 students to arrive at school.

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IV. A city council randomly selects eight city blocks and then surveys all the voting-age residents on those blocks.

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