Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 7: Q.7.23 (page 296)

America's Richest. Explain what the dotplots in part (c) of exercise 7.17-7.22 illustrate about the impact of increasing sample size on sampling error.

Short Answer

Expert verified

The impact of increasing sample size on sampling error is that The sample size is raised, the sampling error decreases.

Step by step solution

01

Given Information

We have to illustrate about the impact of increasing sample size on sampling error.

02

Explanation

Sampling error arises when only a portion of the population is utilised to estimate population parameters and draw inferences about the population.

For the supplied population, use MINITAB to create dotplots for samples of size1,2,3,4,5and6.

MINITAB output is given below:

The population mean height of six persons 46.5billion. The MINITAB result clearly shows that as the sample size is raised, the sampling error decreases.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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 why increasing the sample size tends to result in a smaller sampling error when a sample means is used to estimate a population mean.

Relative to the population mean, what happens to the possible sample means for samples of the same size as the sample size increases? Explain the relevance of this property in estimating a population means by a sample mean.

7.45 NBA Champs. Repeat parts (b) and (c) of Exercise 7.41for samples of size 5. For part (b). use your answer to Exercise 7.15(b).

Baby Weight. The paper "Are Babies Normal?" by T. Clemons and M. Pagano (The American Statistician, Vol. 53, No, 4. pp. 298-302) focused on birth weights of babies. According to the article, the mean birth weight is 3369 grams (7 pounds, 6.5 ounces) with a standard deviation of 581 grams.
a. Identify the population and variable.
b. For samples of size 200, find the mean and standard deviation of all possible sample mean weights.
c. Repeat part (b) for samples of size 400.

Each years, Forbers magazine publishes a list of the richest people in the United States. As of September 16, 2013,the six richest Americans and their wealth (to the nearest billion dollars) are as shown in the following table. Consider these six people a population of interest.

Part (a): Calculate the mean wealth, μ, of the six people.

Part (b): For samples of size 2, construct a table similar to Table 7.2 on page 293. (There are 15 possible samples of size 2.)

Part (c): Draw a dotplot for the sampling distribution of the sample mean for samples of size 2.

Part (d): For a random sample of size2, what is the chance that the sample mean will equal the population mean?

Part (e): For a random sample of size 2, determine the probability that the mean wealth of the two people obtained will be within 3 of the population mean. Interpret your result in terms of percentages.
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

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.

Sign-up for free