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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

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

Suppose that the second researcher conducted his survey by choosing 40 patients he knew. What sampling method would that researcher have used? What concerns would you have about this data set, based upon the data collection method?

Fifty part-time students were asked how many courses they were taking this term. The (incomplete) results are shown below:

a. Fill in the blanks in Table 1.33.

b. What percent of students take exactly two courses?

c. What percent of students take one or two courses?

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?

With your classmates, brainstorm some ways you could overcome these problems if you needed to conduct a phone or mail survey.

What type of measure scale is being used? Nominal, ordinal, interval or ratio.

a. High school soccer players classified by their athletic ability: Superior, Average, Above average

b. Baking temperatures for various main dishes: 350, 400, 325, 250, 300

c. The colors of crayons in a 24-crayon box

d. Social security numbers

e. Incomes measured in dollars

f. A satisfaction survey of a social website by number: 1 = very satisfied, 2 = somewhat satisfied, 3 = not satisfied

g. Political outlook: extreme left, left-of-center, right-of-center, extreme right

h. Time of day on an analog watch

i. The distance in miles to the closest grocery store

j. The dates 1066, 1492, 1644, 1947, and 1944

k. The heights of 21鈥�65 year-old women

l. Common letter grades: A, B, C, D, and F
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