/*! 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} Q. 7.2 7.2 Why should you generally exp... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Q. 7.2 (page 295)

7.2 Why should you generally expect some error when estimating a parameter (e.g., a population mean) by a statistic (e.g., a sample mean)? What is this kind of error called?

Short Answer

Expert verified

There are some mistakes when estimating the population parameter using the statistic value. This kind of error is called Sampling Error.

Step by step solution

01

Concept introduction

When a critic fails to choose a model that accurately depicts the entire population of data, this is known as a sampling error.

02

Explanation

Calculate the population parameter (a function of population observation, example population means) by a statistic (a function of sample observations example sample means).
Expect some inaccuracies because just a portion of the population is used (i.e. sample).
If the sample contains an outlier (an observation that is very dissimilar to the overall nature of the population observations), the statistic's value will not reflect the true nature of the population, i.e. there will be mistakes, then estimate the population parameter using the statistic's value.
Sampling error is the name for this type of error.
As a result, there are some mistakes when estimating the population parameter using the statistic value. This is known as the Sampling Error.

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

Worker Fatigue. A study by M. Chen et al. titled "Heat Stress Evaluation and Worker Fatigue in a Steel Plant (American Industrial Hygiene Association, Vol. 64. Pp. 352-359) assessed fatigue in steelplant workers due to heat stress. If the mean post-work heart rate for casting workers equals the normal resting heart rate of 72beats per minute (bpm), find the probability that a random sample of 29 casting workers will have a mean post-work heart rate exceeding 78.3bpm Assume that the population standard deviation of post-work heart rates for casting workers is 11.2 bpm. State any assumptions that you are making in solving this problem.

7.51 Earthquakes. According to The Earth: Structure, Composition and Evolution (The Open University, S237), for earthquakes with a magnitude of 7.5or greater on the Richter scale, the time between successive earthquakes has a mean of 437days and a standard deviation of 399days. Suppose that you observe a sample of four times between successive earthquakes that have a magnitude of 7.5 or greater on the Richter scale.
a. On average, what would you expect to be the mean of the four times?
b. How much variation would you expect from your answer in part (a)? (Hint: Use the three-standard-deviations rule.)

According to The Earth: Structure, Composition and Evolution for earthquakes with a magnitude of 7.5 or greater on the Richter scale, the time between successive earthquakes has a mean of 437 days and a standard deviation of 399 days. Suppose that you observe a sample of four times between successive earthquakes that have a magnitude of7.5 or greater on Richter scale.

Part (a): On average, what would you expect to be the mean of the four times?

Part (b): How much variation would you expect from your answer in part (a)?

Repeat parts (b)-(e) of Exercise 7.11 for samples of size 1.

7.1 Why is sampling often preferable to conducting a census for the purpose of obtaining information about a population?
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Applied Mathematics

Read Explanation

Calculus

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.