The members of a population are numbered 1-90.

(a). Use Table I in Appendix A to obtain SRS of size 5 from the population. Start at the two-digit number in line number 15 and column numbers 25-26, read down the column, up the next, and so on.

(b). If you have access to a random-number generator, use it to solve part (a).

Short Answer

Expert verified

Part (a) 06, 33, 61, 56, and 20.

Part (b) 10, 66, 55, 54, and 87.

Step by step solution

01

Part (a) Step 1. Given information.

The given information is:

The members of a population are numbered 1-90.

02

Part (a) Step 2. Use Table I in Appendix A to obtain SRS of size 5 from the population.

To get an SRS of size 5 from the population, use Table I in Appendix A. Procedure:

Step 1: Use Table I: Random Numbers as a starting point.

Step 2: Select 15 as the line number.

Step 3: Select Columns 25 and 26.

Step 4: In Line 15, begin with a two-digit number.

Step 5: Pick the first number, which is 06.

Step 6: Numbers 91 to 99 should not be duplicated.

Step 7: Work your way down the columns to the second number 33.

Step 8: Continue down the columns until you reach 61 as the third number.

Step 9: Continue along with columns 27–28 until you reach the fourth number, which is 56.

Step 10: Work your way along with the columns until you reach the fifth number, which is 20.

Output:

SRS

06 33 61 56 20

Therefore, the SRS of size 5 from the population is 06, 33, 61, 56, and20.

03

Part (b) Step 1. If you have access to a random-number generator, use it to solve part (a).

Different people will have different responses. The following is one of the possible answers:

To get an SRS of size 5 from the population, use MINITAB.

Procedure for MINITAB:

Step 1: Select Calc > Random Data > Integer from the menu bar.

Step 2: Enter twice your desired sample size in the Number of rows of data to generate the section, just in case there are repeats. Enter 5 as the sample size. Step 3: In the Store in the column, type SRS in column C1.

Step 4: Enter 1 as the minimum value.

Step 5: 90 is the maximum value.

Step 6: Click the OK button.

MINITAB output:

SRS 10, 66, 55, 54, 87

Therefore, the SRS of size 5 from the population using the random number generator is 10, 66, 55, 54,and87.

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