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Chapter 1: Q. 27 (page 51)

Use the following data to answer the next five exercises: Two researchers are gathering data on hours of video games played by school-aged children and young adults. They each randomly sample different groups of 150 students from the same school. They collect the following data.

Researcher A concludes that most students play video games between four and six hours each week. Researcher B concludes that most students play video games between two and four hours each week. Who is correct?

Short Answer

Expert verified

Both of the researchers are correct.

Step by step solution

01

Concept Introduction

The sample is a portion of the population that is chosen and analyzed in order to derive conclusions about the entire population of interest in statistics.

02

Explanation

The outcome depends on the nature of the samples. Each research results are true for their respective age groups because both researchers used a distinct sample, which may differ due to the age group included in the samples. As a result, we can infer that both researchers are correct.

03

Final answer

Both of the researchers are correct since the samples used for research differ.

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Most popular questions from this chapter

Nineteen immigrants to the U.S were asked how many years, to the nearest year, they have lived in the U.S. The data are as follows:

Table 1.35was produced.

a. Fix the errors in Table 1.35. Also, explain how someone might have arrived at the incorrect number(s).

b. Explain what is wrong with this statement: “47percent of the people surveyed have lived in the U.S. for 5years.”

c. Fix the statement in b to make it correct.

d. What fraction of the people surveyed have lived in the U.S. five or seven years?

e. What fraction of the people surveyed have lived in the U.S. at most 12years?

f. What fraction of the people surveyed have lived in the U.S. fewer than 12years?

g. What fraction of the people surveyed have lived in the U.S. from five to 20years, inclusive?

A scholarly article about response rates begins with the following quote:

“Declining contact and cooperation rates in random digit dial (RDD) national telephone surveys raise serious concerns about the validity of estimates drawn from such research.”[6]The Pew Research Center for People and the Press admits: “The percentage of people we interview – out of all we try to interview – has been declining over the past decade or more.”[7]

a. What are some reasons for the decline in response rate over the past decade?

b. Explain why researchers are concerned with the impact of the declining response rate on public opinion polls.

The data are the number of machines in a gym. You sample five gyms. One gym has 12machines, one gym has 15machines, one gym has ten machines, one gym has 22machines, and the other gym has 20machines. What type of data is this?

Use the following information to answer the next seven exercises: Studies are often done by pharmaceutical companies to determine the effectiveness of a treatment program. Suppose that a new AIDS antibody drug is currently under study. It is given to patients once the AIDS symptoms have revealed themselves. Of interest is the average (mean) length of time in months patients live once starting the treatment. Two researchers each follow a different set of 40 AIDS patients from the start of treatment until their deaths. The following data (in months) are collected.

Researcher A: 3; 4; 11; 15; 16; 17; 22; 44; 37; 16; 14; 24; 25; 15; 26; 27; 33; 29; 35; 44; 13; 21; 22; 10; 12; 8; 40; 32; 26; 27; 31; 34; 29; 17; 8; 24; 18; 47; 33; 34

Researcher B: 3; 14; 11; 5; 16; 17; 28; 41; 31; 18; 14; 14; 26; 25; 21; 22; 31; 2; 35; 44; 23; 21; 21; 16; 12; 18; 41; 22; 16; 25; 33; 34; 29; 13; 18; 24; 23; 42; 33; 29

Determine what the key term data refers to in the above example for Researcher A.

Use the following data to answer the next five exercises: Two researchers are gathering data on hours of video games played by school-aged children and young adults. They each randomly sample different groups of 150 students from the same school. They collect the following data.

Would the sample size be large enough if the population is school-aged children and young adults in the United States?
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