Question

In: Statistics and Probability

The following is a list of the first names of 24 fictional students in a statistics...

The following is a list of the first names of 24 fictional students in a statistics class at Cleveland State University. The students are identified by numbering them 01 through 24.
A sample of six students is to be selected by using systematic sampling. The first student to be selected is the one with ID 03. Choose the six students that will be included in the sample.

ID	Student	ID	Student
01	Ali	13	Sakiya
02	Pedro	14	Mary
03	Alicia	15	Ethan
04	Jalil	16	Nathan
05	Tonika	17	Patricia
06	Charles	18	Chung
07	Everlyn	19	Sally
08	Saul	20	Clarence
09	Sarah	21	Susie
10	Leroy	22	Mohammed
11	Joan	23	Maria
12	Raul	24	Sajida

Expert Solution

Systematic sampling is a type of probability sampling method in which sample members from a larger population are selected according to a random starting point but with a fixed, periodic interval. This interval, called the sampling interval, is calculated by dividing the population size by the desired sample size.

here population size = 24

desired sample size = 6

for interval calculation,

interval = 24 / 6 = 4

random starting point is 3 and from interval we can easily obtain six students that will be included in the sample.

3+4 = 7

7+4 = 11

11+4 =15

15+4 = 19

19+4 = 23

hence six students that will be included in the sample who have ID 3,7,11,15,19,23

ID	Student	ID	Student
01	Ali	13	Sakiya
02	Pedro	14	Mary
03	Alicia	15	Ethan
04	Jalil	16	Nathan
05	Tonika	17	Patricia
06	Charles	18	Chung
07	Everlyn	19	Sally
08	Saul	20	Clarence
09	Sarah	21	Susie
10	Leroy	22	Mohammed
11	Joan	23	Maria
12	Raul	24	Sajida

03	Alicia

07	Everlyn

11

Joan

15

Ethan

19

Sally

23

Maria

these are six students that will be included in the sample.

orchestra answered 1 year ago

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