/*! 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} Problem 3 Briefly explain the terms popula... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 3

Briefly explain the terms population, sample, representative sample, random sample, sampling with replacement, and sampling without replacement.

Short Answer

Expert verified
Population refers to the entire set of observations that can be analyzed. Sample is a subset of the population. A representative sample accurately reflects the larger entity. Random sample is a subset in which each member has an equal chance of being chosen. Sampling with replacement means after selecting an observation and recording its value, we recycle it into the population for future sampling. Sampling without replacement implies that once an observation is sampled and its value is recorded, it is not placed back into the population.

Step by step solution

01

Definition of Population

Population in statistics refers to the total set of observations that can be made. For example, if we are studying the heights of students in a school, the entire group of students will be our population.
02

Definition of Sample

A sample is a subset of the population. In our example above, if we take a small group of students from the mentioned school to measure their heights, that group is known as a sample.
03

Definition of Representative Sample

A representative sample is a small quantity of something that accurately reflects the larger entity. In our example, a representative sample would be a group of students which accurately reflects the complete group of students in the school.
04

Definition of Random Sample

A random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen. In our example, this occurs when each student has an equal chance of being chosen to participate in our height study.
05

Definition of Sampling with Replacement

Sampling with replacement is a type of sampling where after selecting an observation for our sample and recording the value, we put it back in the population before taking the next sample. Thus, an observation could be sampled more than once.
06

Definition of Sampling without Replacement

Sampling without replacement is a type of sampling where after selecting an observation for our sample and recording the value, we do not put it back in the population before taking the next sample. Thus, an observation is only sampled once.

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

Explain the meaning of an element, a variable, an observation, and a data set.

Eight randomly selected customers at a local grocery store spent the following amounts on groceries in a single visit: \(\$ 216, \$ 184, \$ 35, \$ 92, \$ 144, \$ 175, \$ 11\), and \(\$ 57\), respectively. Let \(y\) denote the amount spent on groceries in a single visit. Find: a. \(\Sigma y\) b. \((\Sigma y)^{2}\) c. \(\Sigma y^{2}\)

The following table gives the state taxes (in dollars) on a pack of cigarettes for nine states as of April \(1,2009 .\) Briefly explain the meaning of a member, a variable, a measurement, and a data set with reference to this table.

Indicate which of the following variables are quantitative and which are qualitative. a. Number of persons in a family b. Colors of cars c. Marital status of people d. Time to commute from home to work e. Number of errors in a person's credit report

The number of shoe pairs owned by six women is \(8,14,3,7,10\), and 5 , respectively. Let \(x\) denote the number of shoe pairs owned by a woman. Find: a. \(\Sigma x\) b. \((\Sigma x)^{2}\) c. \(\Sigma x^{2}\)
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation

Decision 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.