To choose a sample of 12 students from a statistics class of 36 students, which type of sample (simple random, systematic, cluster, convenience, snowball, etc.)

Question

To choose a sample of 12 students from a statistics class of 36 students, which type of sample (simple
random, systematic, cluster, convenience, snowball, etc.) is each of these?

a. Picking every student who was wearing blue that day.
b. Using Excel’s =RANDBETWEEN(1,36) to choose students from the class list.
c. Selecting every 3rd student starting from a randomly-chosen position.

Answer 1

Hi Ronald,

 

This is a Simple Random Sampling. 

Sample Random Sampling is a process of obtaining a sample from  a population in which each member has an equal chance of being selected.

There are two types of Simple Random Sampling.

1) Sampling with replacement from a finite population

2) Sampling without replacement from an infinite population.

p( picking every student wearing Blue that day)=1/36

 

b) Usiing Excel's, choose students from list,Below is the Eg:

RANDBETWEEN(1,36)
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13
13

C) Every 3rd student is selected means that 3rd, 6th,9th,12th,15th,18th,21st,24th,27th,30th students are selected,so there are 10 possibilities out of 36

P(selecting every 3rd student)=10/36=5/18.

This may help you.

Meena from Strongsville, OH