/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} 1.1 a. Give three different examples... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: 1.1 (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?

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Consider a sample \({x_1},{x_2},...,{x_n}\) with neven. Let \({\bar x_L}\) and \({\bar x_U}\) denote the average of the smallest n/2 and the largest n/2 observations, respectively. Show that the mean absolute deviation from the median for this sample satisfies

\(\sum {\left| {{x_i} - \tilde x} \right|} /n = \left( {{{\bar x}_U} - {{\bar x}_L}} \right)/2\)

Then show that if n is odd and the two averages are calculated after excluding the median from each half, replacing non the left with n-1 gives the correct result.(Hint: Break the sum into two parts, the first involving observations less than or equal to the median and the second involving observations greater than or equal to the median.)

The accompanying summary data on CeO2 particlesizes (nm) under certain experimental conditions wasread from a graph in the article 鈥淣anoceria鈥擡nergetics of Surfaces, Interfaces and WaterAdsorption鈥� (J. of the Amer. Ceramic Soc., 2011:3992鈥�3999):

3.0鈭�<3.5 3.5鈭�<4.0 4.0鈭�<4.5 4.5鈭�<5.0 5.0鈭�<5.5

5 15 27 34 22

5.5鈭�<6.0 6.0鈭�<6.5 6.5鈭�<7.0 7.0鈭�<7.5 7.5鈭�<8.0

14 7 2 4 1

a. What proportion of the observations are less than 5?

b. What proportion of the observations are at least 6?

c. Construct a histogram with relative frequency on the vertical axis and comment on interesting features. In particular, does the distribution of particle sizes appear to be reasonably symmetric or somewhat skewed? (Note:The investigators fit lognormaldistribution to the data; this is discussed in Chapter 4.)

d. Construct a histogram with density on the vertical axis and compare to the histogram in (c).

Allowable mechanical properties for structural design of metallic aerospace vehicles requires an approved method for statistically analyzing empirical test data. The article 鈥淓stablishing Mechanical Property Allowables for Metals鈥� (J. of Testing and Evaluation, 1998: 293鈥�299) used the accompanying data on tensile ultimate strength (ksi) as a basis for addressing the difficulties in developing such a method.

122.2 124.2 124.3 125.6 126.3 126.5 126.5 127.2 127.3

127.5 127.9 128.6 128.8 129.0 129.2 129.4 129.6 130.2

130.4 130.8 131.3 131.4 131.4 131.5 131.6 131.6 131.8

131.8 132.3 132.4 132.4 132.5 132.5 132.5 132.5 132.6

132.7 132.9 133.0 133.1 133.1 133.1 133.1 133.2 133.2

133.2 133.3 133.3 133.5 133.5 133.5 133.8 133.9 134.0

134.0 134.0 134.0 134.1 134.2 134.3 134.4 134.4 134.6

134.7 134.7 134.7 134.8 134.8 134.8 134.9 134.9 135.2

135.2 135.2 135.3 135.3 135.4 135.5 135.5 135.6 135.6

135.7 135.8 135.8 135.8 135.8 135.8 135.9 135.9 135.9

135.9 136.0 136.0 136.1 136.2 136.2 136.3 136.4 136.4

136.6 136.8 136.9 136.9 137.0 137.1 137.2 137.6 137.6

137.8 137.8 137.8 137.9 137.9 138.2 138.2 138.3 138.3

138.4 138.4 138.4 138.5 138.5 138.6 138.7 138.7 139.0

139.1 139.5 139.6 139.8 139.8 140.0 140.0 140.7 140.7

140.9 140.9 141.2 141.4 141.5 141.6 142.9 143.4 143.5

143.6 143.8 143.8 143.9 144.1 144.5 144.5 147.7 147.7

a. Construct a stem-and-leaf display of the data by first deleting (truncating) the tenths digit and then repeating each stem value five times (once for leaves 1 and 2, a second time for leaves 3 and 4, etc.). Why is it relatively easy to identify a representative strength value?

b. Construct a histogram using equal-width classes with the first class having a lower limit of 122 and an upper limit of 124. Then comment on any interesting features of the histogram.

The weekly demand for propane gas (in \({\rm{1000s}}\) of gallons) from a particular facility is an \({\rm{rv}}\) \({\rm{X}}\) with pdf

\({\rm{f(x) = }}\left\{ {\begin{array}{*{20}{c}}{{\rm{2}}\left( {{\rm{1 - }}\frac{{\rm{1}}}{{{{\rm{x}}^{\rm{2}}}}}} \right)}&{{\rm{1}} \le {\rm{x}} \le {\rm{2}}}\\{\rm{0}}&{{\rm{ otherwise }}}\end{array}} \right.\)

a. Compute the cdf of \({\rm{X}}\).

b. Obtain an expression for the \({\rm{(100p)th}}\) percentile. What is the value of \({\rm{\tilde \mu }}\)?

c. Compute \({\rm{E(X)}}\) and \({\rm{V(X)}}\).

d. If \({\rm{1}}{\rm{.5}}\) thousand gallons are in stock at the beginning of the week and no new supply is due in during the week, how much of the \({\rm{1}}{\rm{.5}}\) thousand gallons is expected to be left at the end of the week? (Hint: Let \({\rm{h(x) = }}\) amount left when demand \({\rm{ = x}}\).)

Once an individual has been infected with a certain disease, let \({\rm{X}}\) represent the time (days) that elapses before the individual becomes infectious. The article proposes a Weibull distribution with \({\rm{\alpha = 2}}{\rm{.2}}\), \({\rm{\beta = 1}}{\rm{.1}}\), and \({\rm{\gamma = 0}}{\rm{.5}}\).

a. Calculate \({\rm{P(1 < X < 2)}}\).

b. Calculate \({\rm{P(X > 1}}{\rm{.5)}}\).

c. What is the \({\rm{90th}}\) percentile of the distribution?

d. What are the mean and standard deviation of \({\rm{X}}\)?
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Pure Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.