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Chapter 7: Q. 30 (page 457)

The math department at a small school has 5teachers. The ages of these teachers are 23,34,37,42,58. Suppose you select a random sample of 4teachers and calculate the sample minimum age. Which of the following shows the sampling distribution of the sample minimum age?

a.

b.

c.

d.

e. None of these

Short Answer

Expert verified

The correct option (c) i.e.

Step by step solution

01

Given information

We need to find the correct option showing the sampling distribution of the sample minimum age.

02

Explanation

We know that

The smallest age out of the four ages in the sample are

Sample of size fourSample minimum
23,34,37,42
23
23,34,37,58
23
23,34,42,58
23
23,37,42,58
23
34,37,42,58
34

We then remark that the sample minimum sampling distribution should include 4dots at 23and 1dot at 34. (since there are 4samples with sample minimum 23and one sample with sample minimum 34).

Therefore, the correct option is (c) i.e.

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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.

Predict the election A polling organization plans to ask a random sample of likely voters who they plan to vote for in an upcoming election. The researchers will report the sample proportion p∧ that favors the incumbent as an estimate of the population proportion pthat favors the incumbent. Explain to someone who knows little about statistics what it means to say that p∧is an unbiased estimator of p.

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

A study of voting chose 663 registered voters at random shortly after an election. Of these, 72%said they had voted in the election. Election records show that only 56%of registered voters voted in the election. Which of the following statements is true?

a. 72%is a sample; 56%is a population.

b. 72%and 56%are both statistics.

c. 72%is a statistic and 56%is a parameter.

d. 72%is a parameter and 56%is a statistic.

e. 72%and 56%are both parameters.

Songs on an iPod Refer to Exercise 53 . How many songs would you need to sample if you wanted the standard deviation of the sampling distribution ofx-x¯ to be 10 seconds? Justify your answer.
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