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Chapter 7: Q. 7 (page 454)

Refer to the small population of 5students in the table.

Sample means List all 10 possible SRSs of size n=2, calculate the

mean quiz score for each sample, and display the sampling distribution of the sample

mean on a dotplot.

Short Answer

Expert verified

Answer to the given question:

Sample of size2Sample mean
Abigail-Bobby7.5
Abigail-Carlos10
Abigail-DeAnna8.5
Abigail-Emily9.5
Bobby-Carlos7.5
Bobby-DeAnna6
Bobby-Emily7
Carlos-DeAnna8.5
Carlos-Emily9.5
DeAnna-Emily8

Dotplot:

Step by step solution

01

Given information

Sample of size 2GenderQuiz score
AbigailMale10
BobbyFemale5
CarlosFemale10
DeAnnaMale7
EmilyMale9
02

Explanation

All the possible samples of size 2then contain any two (different) people of the population of 5students.

Sample of size2
Abigail-Bobby
Abigail-Carlos
Abigail-DeAnna
Abigail-Emily
Bobby-Carlos
Bobby-DeAnna
Bobby-Emily
Carlos-DeAnna
Carlos-Emily
DeAnna-Emily

The sample mean of a sample is then the sum of the two corresponding quiz scores divided by the number of data values.

Sample of size2Sample mean
Abigail-Bobbyx炉=10+52=152=7.5
Abigail-Carlosx炉=10+102=202=10
Abigail-DeAnnax炉=10+72=172=8.5
Abigail-Emilyx炉=10+92=192=9.5
Bobby-Carlosx炉=5+102=152=7.5
Bobby-DeAnnax炉=5+72=122=6
Bobby-Emilyx炉=5+92=142=7
Carlos-DeAnnax炉=10+72=172=8.5
Carlos-Emilyx炉=10+92=192=9.5
DeAnna-Emilyx炉=7+92=162=8

Dotplot:

Create a number line

For every given data value place a dot above the corresponding number on the number line.

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Most popular questions from this chapter

In a residential neighborhood, the median value of a house is \(200,000. For which of the

following sample sizes is the sample median most likely to be above \)250,000?

(a) n=10n=10

(b) n=50n=50

(c) n=100n=100

(d) n=1000n=1000

(e) Impossible to determine without more information.

Sample minimums List all 6possible SRSS of size n=2, calculate the minimum age for each sample, and display the sampling distribution of the sample minimum on a dotplot. Is the sample minimum an unbiased estimator of the population minimum? Explain your answer.

COLORAGE
RED1
WHITE5
SILVER8
RED20


On one episode of his show, a radio show host encouraged his listeners to visit his website and vote in a poll about proposed tax increases. Of the 4821 people who vote, 4277 are against the proposed increases. To which of the following populations should the results of this poll be generalized?

a. All people who have ever listened to this show

b. All people who listened to this episode of the show

c. All people who visited the show host's website

d. All people who voted in the poll

e. All people who voted against the proposed increases

Exercises 77 refer to the following setting. In the language of government statistics, you are "in the labor force" if you are available for work and either working or actively seeking work. The unemployment rate is the proportion of the labor force (not of the entire population) that is unemployed. Here are estimates from the Current Population Survey for the civilian population aged 25 years and over in a recent year. The table entries are counts in thousands of people.

Unemployment (1.1) Find the unemployment rate for people with each level of education. Is there an association between unemployment rate and education? Explain your answer.

More sample proportions List all 4possible SRSs of size n=3, calculate the proportion of red cars in the sample, and display the sampling distribution of the sample proportion on a dot plot with the same scale as the dot plot in Exercise 19. How does the variability of this sampling distribution compare with the variability of the sampling distribution from Exercise 19? What does this indicate about increasing the sample size?

From exercise19:

Car NumberColorAge
1
Red
1
2
White
5
3
Silver
8
4
Red
20
See all solutions

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