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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 (渭x) 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 (渭x炉).
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:
渭x炉=鈭�x炉iN
=83+76+80+74+805
=3935
=78.6
As a result, the mean height 渭x炉)for samples of size 1is 78.6.

03

Explanation

Calculate the mean height (渭x炉).
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,
渭x=渭

=78.6

As a result, the mean height (渭x炉)for size1samples is 78.6.

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Most popular questions from this chapter

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

Repeat parts (b)-(e) of Exercise 7.11 for samples of size3.

7.44 NBA Champs. Repeat parts (b) and (c) of Exercise 7.41 for samples of size 4. For part (b), use your answer to Exercise 7.14.

The winner of the 2012-2013 National Basketball Association (NBA) championship was the Miami Heat. One possible starting lineup for that team is as follows.

a. Determine the population mean height, 渭, of the five players:

b. Consider samples of size 2without replacement. Use your answer to Exercise 7.11(b)on page 295and Definition 3.11on page 140to find the mean, 渭r, of the variable x^.

c. Find 渭x*using only the result of part (a).

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.)
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