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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

A sample of 20 glass bottles of a particular type was selected, and the internal pressure strength of each bottle was determined. Consider the following partial sample information:
median = 202.2 lower fourth = 196.0
upper fourth = 216.8

Three smallest observations 125.8 188.1 193.7
Three largest observations 221.3 230.5 250.2


a. Are there any outliers in the sample? Any extreme outliers?
b. Construct a boxplot that shows outliers, and comment on any interesting features.

In 1997 a woman sued a computer keyboard manufacturer,charging that her repetitive stress injuries werecaused by the keyboard (Genessy v. Digital EquipmentCorp.).The injury awarded about \(3.5 million for painand suffering, but the court then set aside that awardas being unreasonable compensation. In making this determination, the court identified a 鈥渘ormative鈥� group of27 similar cases and specified areasonable award as onewithin two standard deviations of the mean of the awardsin the 27 cases. The 27 awards were (in \)1000s) 37, 60,75, 115, 135, 140, 149, 150, 238, 290, 340, 410, 600, 750,750, 750, 1050, 1100, 1139, 1150, 1200, 1200, 1250,1576, 1700, 1825, and 2000, from which\(\sum {{x_i} = } \)20,179,\(\sum {x_i^2} = 24,657,511\). What is the maximum possible amount that could be awarded under the two- standard deviation rule?

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

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0

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

A sample of n=10 automobiles was selected, and eachwas subjected to a 5-mph crash test. Denoting a car withno visible damage by S (for success) and a car with suchdamage by F, results were as follows:

S S F S SS F F S S

  1. What is the value of the sample proportion of successes x/n?
  2. Replace each S with a 1 and each F with a 0. Then calculate for this numerically coded sample. How does compare to x/n?
  3. Suppose it is decided to include 15 more cars in the experiment. How many of these would have to be S鈥檚 to give x/n = .80 for the entire sample of 25 cars?

The article cited in Example 1.2 also gave the accompanying strength observations for cylinders:

6.1

5.8

7.8

7.1

7.2

9.2

6.6

8.3

7.0

8.3

7.8

8.1

7.4

8.5

8.9

9.8

9.7

14.1

12.6

11.2


a. Construct a comparative stem-and-leaf display(see the previous exercise) of the beam and cylinder data, and then answer the questions in parts(b)鈥�(d) of Exercise 10 for the observations oncylinders.

b. In what ways are the two sides of the display similar? Are there any obvious differences between the beam observations and the cylinder observations?
c. Construct a dotplot of the cylinder data.

See all solutions

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