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Chapter 7: Q. 7.45 (page 301)

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).

Short Answer

Expert verified

The mean height (渭x炉)for samples of size 5is 78.6.

Step by step solution

01

Given information

To determine the sample size of 5. The sample from exercise 7.41is:

02

Explanation

For samples of size 5, calculate the mean height (渭x炉).
As a result, the size 5samples and their means are obtained as given in the table below:

Sample size
Height
Mean(x)
B,W,J,C,H
83,76,80,74,80
83+76+80+74+805=78.6

As a result, the number of possible samples (N)of size 5 is one.
The mean of all possible sample means is calculated as follows for samples of size 5:
渭x炉=鈭�x炉iN

=78.61

=78.6

As a result, the mean height (渭x炉)for size 5samples is 78.6.

03

Explanation

Calculate the mean height 渭x炉.
The average height of five players in the population is 78.6 inches.
The population mean is equal to the mean of the sample mean.
That is to state,
渭x炉=渭
=78.6
Asa result, the mean height ( (渭x炉) for samples of size 5 is 78.6.

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Most popular questions from this chapter

Refer to Exercise 7.10 on page 295.

a. Use your answers from Exercise 7.10(b) to determine the mean, 渭s, of the variable x炉for each of the possible sample sizes.

b. For each of the possible sample sizes, determine the mean, 渭s, of the variable x炉, using only your answer from Exercise 7.10a).

7.67 Brain Weights. In 1905, R. Pearl published the article "Biometrical Studies on Man. 1. Variation and Correlation in Brain Weight" (Biometrika, Vol. 4, pp. 13-104). According to the study, brain weights of S wedish men are normally distributed with a mean of 1.40kg and a standard deviation of 0.11kg

a. Determine the sampling distribution of the sample mean for samples of size 3 Interpret your answer in terms of the distribution of all possible sample mean brain weights for samples of three Swedish men.

b. Repeat part (a) for samples of size 12

c. Construct graphs similar to those shown in Fig. 7.4on page 304 .

d. Determine the percentage of all samples of three Swedish men that have mean brain weights within 0.1kg of the population mean brain weight of 1.40kg. Interpret your answer in terms of sampling error.

e. Repeat part (d) for samples of size 12

Repeat parts (b)-(e) of Exercise 7.11 for samples of size4.

Does the sample size have an effect on the mean of all possible sample mean? Explain your answer.

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

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