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Chapter 1: Q4E (page 12)

a. Give three different examples of concrete populations and three different examples of hypothetical populations.

b. For one each of your concrete and your hypothetical populations, give an example of a probability question and an example of an inferential statistics question.

Short Answer

Expert verified

a.

Examples of concrete populations include all workers at a company, all students who take the NEET exam in the year 2021 etc.

The examples of hypothetical populations are the Page length of the research paper published in 2012, Average students participating in a scholarship exam at a university in the next academic year etc.

b.

An example of probability questions from a concrete population is, what is the probability of getting at most one king?

An example of probability questions from a hypothetical population is, what is the probability of medicine being more toxic than 15 units?

Step by step solution

01

Providing example from concrete populations

A concrete population is a well-defined and measurable population.

The examples of concrete populations are:

1. All workers at a company.

2. The number of students participating in a maths Olympiad.

3. All students who take the NEET exam in the year 2021.

02

Providing example from hypothetical populations

The population consists of all possible strength measurements that might be made under similar experimental conditions.

The examples of hypothetical populations are,

1. Page length of the research paper published in 2012.

2. The possible samples from a particular type of cancer tissue.

3. Average students participated in a scholarship exam at a university in the next academic year.

03

Providing examples of probability questions from concrete populations

The examples of probability questions are as follows,

1. What is the probability of getting at most 1 king?

2. What is the probability of getting a king?

3. What is the probability of getting 3 heads when three coins are tossed once?

04

Providing examples of probability questions from hypothetical populations

The examples of probability questions are as follows,

1. What is the probability of medicine being more toxic than 15 units?

2. What is the probability of throwing a ball more than 200 meters?

3. What is the probability of an average student scoring more than a grade of 4.9?

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Most popular questions from this chapter

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F D B C D AA C B E B C E A

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C B A C B E E D A B C E A A

F C B D DD B D C A F AA B

D E A E D B C A F A C D D A

A B A F D C A C B F D A E A

C D

The accompanying comparative boxplot of gasoline vapor coefficients for vehicles in Detroit appeared in the article “Receptor Modeling Approach to VOCEmission Inventory Validation” (J. of Envir. Engr.,1995: 483–490). Discuss any interesting features.

a. \({\rm{Show}}\)that\({\rm{Cov(X,Y + Z) = Cov(X,Y) + Cov(X,Z}}\)).

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The article “Determination of Most RepresentativeSubdivision” (J. of Energy Engr., 1993: 43–55) gavedata on various characteristics ofsubdivisions that couldbe used in deciding whether to provide electrical powerusing overhead lines or underground lines. Here are thevalues of the variable x=total length of streets within asubdivision:

1280

5320

4390

2100

1240

3060

4770

1050

360

3330

3380

340

1000

960

1320

530

3350

540

3870

1250

2400

960

1120

2120

450

2250

2320

2400

3150

5700

5220

500

1850

2460

5850

2700

2730

1670

100

5770

3150

1890

510

240

396

1419

2109

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