Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 7: Q. 7.42 (page 301)

7.42 NBA Champs. Repeat parts (b) and (c) of Exercise7.41 for samples of size 1. For part (b), use your answer to Exercise7.12(b).

Short Answer

Expert verified

The mean height (μx) for samples of size 1 is 78.6.

Step by step solution

01

Given information

The samples from exercise 7.41 is:

02

Explanation

For size 1samples, calculate the mean height (μx¯).
As a result, the size samples and their related means.

Then, the number of possible samples of size 1is (N).
The mean of all potential sample means is calculated as follows for samples of size 1:
μx¯=∑x¯iN
=83+76+80+74+805
=3935
=78.6
As a result, the mean height μx¯)for samples of size 1is 78.6.

03

Explanation

Calculate the mean height (μx¯).
The average height of five players in the population is78.6 inches.
The population mean is equal to the mean of the sample mean.
It is just to state,
μx=μ

=78.6

As a result, the mean height (μx¯)for size1samples is 78.6.

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

In Example 7.5, we used the definition of the standard deviation of a variable to obtain the standard deviation of the heights of the five starting players on a men's basketball team and also the standard deviation of x for samples of sizes 1,2,3,4,5.The results are summarized in Table 7.6on page 298. Because the sampling is without replacement from a finite population, Equation (7.1) can also be used to obtain σx.

Part (a): Apply Equation (7.1) to compute σx for sample sizes of 1,2,3,4,5. Compare your answers with those in Table 7.6.

Part (b): Use the simpler formula, Equation (7.2) to compute σx for samples of sizes 1,2,3,4,5.Compare your answers with those in Table 7.6. Why does Equation (7.2)generally yield such poor approximations to the true values?

Part (c): What percentages of the population size are samples of sizes 1,2,3,4,5.

Suppose that a sample is to be taken without replacement from a finite population of size Nif the sample size is the same as the population size

(a) How many possible samples are there?

(b) What are the possible sample means?

(c) What is the relationship between the only possible sample and the population

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

Ethanol Railroad Tariffs. An ethanol railroad tariff is a fee charged for shipments of ethanol on public railroads. The Agricultural Marketing Service publishes tariff rates for railroad-car shipments of ethanol in the Biofuel Transportation Database. Assuming that the standard deviation of such tariff rates is \(1,150, determine the probability that the mean tariff rate of 500randomly selected railroad car shipments of ethanol will be within \)100of the mean tariff rate of all railroad-car shipments of ethanol. Interpret your answer in terms of sampling error.

Repeat parts (b)-(e) of Exercise 7.17 for samples of size 1.
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

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.

Sign-up for free