/*! 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 2 Explain briefly the meaning of s... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Problem 2

Explain briefly the meaning of sampling error. Give an example. Does such an error occur only in a sample survey, or can it occur in both a sample survey and a census?

Short Answer

Expert verified
Sampling error is the discrepancy between estimates from a sample compared to the entire population. For example, a poll from a sample might show a different ratio compared to if every eligible participant was polled. Such errors can occur in both a sample survey and a census due to factors like nonresponses or incorrect responses.

Step by step solution

01

Definition of Sampling Error

Sampling error is the discrepancy, caused by observing a sample instead of the whole population. It can result in sample estimates that don't exactly match the parameters of the whole population from which the sample is drawn.
02

Provide an example of Sampling Error

For example, if a poll was conducted by asking 500 people who they are voting for in the election, the result might indicate a 60/40 split. However, if all eligible voters were polled instead of just the 500, the true split maybe 55/45. This discrepancy is because of a sampling error.
03

Explanation of Sampling Error Occurrence

Sampling error can occur in both a sample survey and a census. Even in a census, which attempts to survey every individual in a population, there can still be sampling errors due to nonresponses, inaccurate responses, or other collection discrepancies.

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

How does the value of \(\sigma_{\bar{x}}\) change as the sample size increases? Explain.

A certain elevator has a maximum legal carrying capacity of 6000 pounds. Suppose that the population of all people who ride this elevator have a mean weight of 160 pounds with a standard deviation of 25 pounds. If 35 of these people board the elevator, what is the probability that their combined weight will exceed 6000 pounds? Assume that the 35 people constitute a random sample from the population.

The delivery times for all food orders at a fast-food restaurant during the lunch hour are normally distributed with a mean of \(7.7\) minutes and a standard deviation of \(2.1\) minutes. Find the probability that the mean delivery time for a random sample of 16 such orders at this restaurant is a. between 7 and 8 minutes b. within 1 minute of the population mean c. less than the population mean by 1 minute or more

According to a PNC Financial Independence Survey released in March 2012, today's U.S. adults in their 20 s "hold an average debt of about $$\$ 45,000,$$ which includes everything from cars to credit cards to student loans to mortgages" (USA TODAY, April 24, 2012). Suppose that the current distribution of debts of all U.S. adults in their 20 s has a mean of $$\$ 45,000$$ and a standard deviation of $$\$ 12,720.$$ Find the probability that the average debt of a random sample of 144 U.S. adults in their \(20 \mathrm{~s}\) is a. less than $$\$ 42,600$$ b. more than $$\$ 46,240$$ c. $$\$ 43,190$$ to $$\$ 46.980$$

As mentioned in Exercise \(7.39\), according to the American Time Use Survey, Americans watch television each weekday for an average of 151 minutes (Time, July 11,2011 ). Suppose that the current distribution of times spent watching television every weekday by all Americans has a mean of 151 minutes and a standard deviation of 20 minutes. Find the probability that the average time spent watching television on a weekday by 200 randomly selected Americans is a. \(148.70\) to 150 minutes b. more than 153 minutes c. at most 146 minutes
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

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.