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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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