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Chapter 1: Q. 25 (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.

Would the sample size be large enough if the population is the students in the school?

Short Answer

Expert verified

As the population of the students is from the same school, the sample size is large enough.

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

According to the rule of sample size, a sample must be a maximum of 10% of the population size. As a result, in this case, if the sample size is 150 students and the population consists solely of students from one school, the sample of 150 students is sufficient.

03

Final answer

Hence, the sample size would be large enough if the population is the students in the school.

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Most popular questions from this chapter

The instructor鈥檚 sample produces a mean number of days absent of 3.5 days. This value is an example of a:

a. parameter.

b. data.

c. statistic.

d. variable.

Crime-related and demographic statistics for 47US states in 1960were collected from government agencies, including the FBI's Uniform Crime Report. One analysis of this data found a strong connection between education and crime indicating that higher levels of education in a community correspond to higher crime rates. Which of the potential problems with samples discussed in Section 1.2could explain this connection?

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?

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).

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.

The population is ______________________
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