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Chapter 1: Q.67 (page 54)

Suppose you want to determine the mean number of cans of soda drunk each month by students in their twenties at your school. Describe a possible sampling method in three to five complete sentences. Make the description detailed.

Short Answer

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Systematic sampling should be used to estimate the average number of cans of soda consumed each month by students in their twenties at a school. For this, the interviewer must devise a procedure for conducting student interviews, such as interviewing every fifth student who enters the school or every tenth student who enters the school's cafeteria during recess.

Step by step solution

01

To determine

The sampling method to determine the mean number of cans of soda drunk each month by students in their twenties at your school.

02

Explanation

Students from many streams would attend the school. The first stage would be to separate all students above the age of 19 into streams. The number of students in each stream may vary. As a result, balanced student selection is critical. Following the selection of students from each stream, the number of soda cans consumed by each of them in a month is recorded in order to determine the mean number of soda cans consumed each month.

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Most popular questions from this chapter

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?

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.

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?

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

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).

See all solutions

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