Chapter 7.1, Problem 30E

To determine

To find: the following shows the sampling distribution of the sample minimum age.

Answer to Problem 30E

  

Explanation of Solution

Calculation:

Population contains 5 ages: 23, 34, 37, 42, and 58

Taking random sample of 4 teachers, which then containing 4 of the 5 ages

Sample of size 4

23 34 37 42 23 34 37 58 23 34 42 58 23 34 42 58 34 37 42 58

Sample minimum is then the smallest age of the 4 ages in the sample.

Sample of size 4	Sample minimum
23 34 37 42 23 34 37 58 23 34 42 58 23 37 42 58 34 37 42 58	23 23 23 23 34

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

Hence, the correct option is (c)