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Chapter 1: Q. 37 (page 52)

Is a sample size of two representative of a population of five?

Short Answer

Expert verified

Yes, a sample size of two is typical of a five-person population.

Step by step solution

01

Introduction

A representative sample is a subset of a population that attempts to correctly reflect the broader group's characteristics.

02

Explanation

If a sample is to be considered trustworthy, it must be at least 10%of the real population size.
As a result, if the population size is 5, a sample size of at least one person provides a credible measurement.
A sample of two is representative of a population of five since sample size 2is bigger than 1.

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Most popular questions from this chapter

An advertisement for Acme Investments displays the two graphs in Figure 1.14to show the value of Acme鈥檚 product in comparison with the Other Guy鈥檚 product. Describe the potentially misleading visual effect of these comparison graphs. How can this be corrected?

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).

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 they start the treatment. Two researchers each follow a different set of 40 patients with AIDS 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 terms refer to in the example for Researcher A.

population

The data are the colors of houses. You sample five houses. The colors of the houses are white, yellow, white, red, and white. What type of data is this?

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The colors of the houses around the park are what kind of data?

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