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Chapter 1: Q. 8 (page 48)

A study was done to determine the age, number of times per week, and the duration (amount of time) of residents using a local park in San Antonio, Texas. The first house in the neighborhood around the park was selected randomly, and then the resident of every eighth house in the neighborhood around the park was interviewed.

鈥淒uration (amount of time)鈥� is what type of data?

a. qualitative(categorical); b. quantitative discrete; c. quantitative continuous

Short Answer

Expert verified

鈥淒uration (amount of time)鈥� is a type of quantitative continuous variable, hence, option c is the correct answer.

Step by step solution

01

Concept Introduction

A variable is a type of data and it can be of qualitative, quantitative discrete, or quantitative continuous type based on the given data in statistics.

02

Explanation

A qualitative variable is one that assigns categories to the variable as a value. The variable gender, for example, is a qualitative variable since it assigns male or female categories to the variable gender.

A quantitative discrete variable is one that assigns values that has a definite number of values. Quantitative discrete variables include things like the number of students in a class and the number of days in a month.

A quantitative continuous variable is one that assigns values that have an infinite number of possible values. A quantitative continuous variable is, for example, the weight of students in a class or the distance between two cities.

Since the duration of time can have any value and there are infinite possibilities of that, the given data is of a quantitative continuous type.

03

Final answer

The given data type, 鈥淒uration (amount of time)鈥�, is a type of quantitative continuous variable.

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Most popular questions from this chapter

1.11 You are going to use the random number generator to generate different types of samples from the data.

This table displays six sets of quiz scores (each quiz counts 10 points) for an elementary statistics class.

Instructions: Use the Random Number Generator to pick samples.

1. Create a stratified sample by column. Pick three quiz scores randomly from each column.

鈼� Number each row one through ten.

鈼� On your calculator, press Math and arrow over to PRB.

鈼� For column 1, Press 5:randInt( and enter 1,10). Press ENTER. Record the number. Press ENTER 2 more

times (even the repeats). Record these numbers. Record the three quiz scores in column one that correspond

to these three numbers.

鈼� Repeat for columns two through six.

鈼� These 18 quiz scores are a stratified sample.

2. Create a cluster sample by picking two of the columns. Use the column numbers: one through six.

鈼� Press MATH and arrow over to PRB.

鈼� Press 5:randInt( and enter 1,6). Press ENTER. Record the number. Press ENTER and record that number.

鈼� The two numbers are for two of the columns.

鈼� The quiz scores (20 of them) in these 2 columns are the cluster sample.

3. Create a simple random sample of 15 quiz scores.

鈼� Use the numbering one through 60.

鈼� Press MATH. Arrow over to PRB. Press 5:randInt( and enter 1, 60).

鈼� Press ENTER 15 times and record the numbers.

鈼� Record the quiz scores that correspond to these numbers.

鈼� These 15 quiz scores are the systematic sample.

4. Create a systematic sample of 12 quiz scores.

鈼� Use the numbering one through 60.

鈼� Press MATH. Arrow over to PRB. Press 5:randInt( and enter 1, 60).

鈼� Press ENTER. Record the number and the first quiz score. From that number, count ten quiz scores and

record that quiz score. Keep counting ten quiz scores and recording the quiz score until you have a sample

of 12 quiz scores. You may wrap around (go back to the beginning).

In advance of the 1936Presidential Election, a magazine titled Literary Digest released the results of an opinion poll predicting that the republican candidate Alf Landon would win by a large margin. The magazine sent post cards to approximately 10,000,000prospective voters. These prospective voters were selected from the subscription list of the magazine, from automobile registration lists, from phone lists, and from club membership lists. Approximately 2,300,000people returned the postcards.

a. Think about the state of the United States in 1936. Explain why a sample chosen from magazine subscription lists, automobile registration lists, phone books, and club membership lists was not representative of the population of the United States at that time.

b. What effect does the low response rate have on the reliability of the sample?

c. Are these problems examples of sampling error or non sampling error?

d. During the same year, George Gallup conducted his own poll of 30,000prospective voters. These researchers used a method they called "quota sampling" to obtain survey answers from specific subsets of the population. Quota sampling is an example of which sampling method described in this module?

For the following exercises, identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and give an example of the data. . distance to the closest movie theatre

On the Web, What kinds of Web sites do males aged 18to 34visit most often? Half of the male Internet users in this age group visit an auction site such as eBay at least once a month.11A study of Internet use interviews a random sample of 500men aged 18to 34. Let X= the number in the sample who visit an auction site at least once a month.

(a) Show that Xis approximately a binomial random variable.

(b) Check the conditions for using a Normal approximation in this setting.

(c) Use the Normal approximation to 铿乶d the probability that at least 235of the men in the sample visit an online auction site at least once a month.

A cardiologist is interested in the mean recovery period of her patients who have had heart attacks.
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