Question

Lisa needs to construct a systematic random sample of students who are currently taking statistics. Convey to her how to construct a sample, step-by-step.

Answer 1

Systematic Random Sample is a sample in which there is an equal probability of selecting each unit within the population when creating the sample.

Steps to construct systematic random sample:
Step 1:

Dfine the population: Enumerate all the students who are currently taing statistics.

Step 2:

Choose a sample size: This can be done using statistical theory based on population size and the statistical uncertainty Lisa is prepared to take in collecting the sample.

Step 3:

Listing the population: Lisa sholud identify all the students from the college records as to whether each student in the population is currently taking statistics.

Step 4:

Assigning numbers to cases: Lisa should give identification number to each student seperately.

Step 5:

Calculate the sample fraction:

Calculate the sample fraction as follows:

Sample fraction = n/N,

where

n = sample size

and

N = population size

Step 6:

Select the first unit:

Use statistical random number generator to select one student from the population.

Step 7:

Selecting the sample of student who are currently taking statistics:

Using statistical techniques, continue Step 6 to complete the selection of all the required n students from the population N students.