Q 1.38.
Question
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).
Step-by-Step Solution
VerifiedPart (a) 06, 33, 61, 56, and 20.
Part (b) 10, 66, 55, 54, and 87.
The given information is:
The members of a population are numbered 1-90.
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, and 20.
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, and 87.