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Chapter 1: Q6E (page 12)

The California State University (CSU) system consists of 23 campuses, from San Diego State in the south to Humboldt State near the Oregon border. A CSU administrator wishes to make an inference about the average distance between the hometowns of students and their campuses. Describe and discuss several different sampling methods that might be employed. Would this be an enumerative or an analytic study? Explain yourreasoning.

Short Answer

Expert verified

Simple Random sampling and stratified sampling techniques can be used.

This is an enumerative study since the data may be used to create an actionable item by the CSU administrator.

Step by step solution

01

Given information

The number of campuses that the California State University system consists of is 23.

A CSU administrator wishes to make an inference about the average distance between the hometowns of students and their campuses.

02

State the sampling methods that can be employed.

The sampling methods that can be used in the provided scenario are,

Simple Random sampling: Randomly selecting the distance between the hometowns of students and their campuses will eliminate the biases.

Stratified random sampling: This method can be used treating 23 campuses as subgroups and then taking samples from them.

03

Identify the study

In enumerative study, the population under study is finite and seek to provide numerical summaries, conduct tests to give inference about the proposed claim.

Here, A CSU administrator is interested to study the average distance from hometown to campus.

Using these results, he will take the required steps to minimize the distance by changing students from one to other. The action taken by him using the obtained results comes under enumerative study.

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Most popular questions from this chapter

For each of the following hypothetical populations, give

a plausible sample of size 4:

a. All distances that might result when you throw a football

b. Page lengths of books published 5 years from now

c. All possible earthquake-strength measurements (Richter scale) that might be recorded in California during the next year

d. All possible yields (in grams) from a certain chemical reaction carried out in a laboratory.

Give one possible sample of size 4 from each of the following

populations:

a. All daily newspapers published in the United States

b. All companies listed on the New York Stock Exchange

c. All students at your college or university

d. All grade point averages of students at your college or university

A certain city divides naturally into ten district neighborhoods.How might a real estate appraiser select a sample of single-family homes that could be used as a basis for developing an equation to predict appraised value from characteristics such as age, size, number of bathrooms, distance to the nearest school, and so on? Is the study enumerative or analytic?

Exercise 34 presented the following data on endotoxin concentration in settled dust both for a sample of urban homes and for a sample of farm homes:

U: 6.0 5.0 11.0 33.0 4.0 5.0 80.0 18.0 35.0 17.0 23.0

F: 4.0 14.0 11.0 9.0 9.0 8.0 4.0 20.0 5.0 8.9 21.0

9.2 3.0 2.0 0.3

a. Determine the value of the sample standard deviation for each sample, interpret these values, and then contrast variability in the two samples. (Hint:\(\sum {{x_i}} \)= 237.0 for the urban sample and =128.4 for the farm sample, and\(\sum {x_i^2} \)= 10,079 for the urban sample and 1617.94 for the farm sample.)

b. Compute the fourth spread for each sample and compare. Do the fourth spreads convey the same message about variability that the standard deviations do? Explain.

c. Construct a comparative boxplot (as did the cited paper)and compare and contrast the four samples.

The article cited in Exercise 20 also gave the following values of the variables y=number of culs-de-sac and z=number of intersections:

y

1

0

1

0

0

2

0

1

1

1

2

1

0

0

1

1

0

1

1

z

1

8

6

1

1

5

3

0

0

4

4

0

0

1

2

1

4

0

4

y

1

1

0

0

0

1

1

2

0

1

2

2

1

1

0

2

1

1

0

z

0

3

0

1

1

0

1

3

2

4

6

6

0

1

1

8

3

3

5

y

1

5

0

3

0

1

1

0

0

z

0

5

2

3

1

0

0

0

3

a. Construct a histogram for the ydata. What proportion of these subdivisions had no culs-de-sac? At least one cul-de-sac?
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