10. Administrators at Texas A&M; University were interested in estimating the pe

Question

10. Administrators at Texas A&M; University were interested in estimating the percentage of students who are the first in their family to go to college. The A&MM; sfudent body has about 46,000 members. For each scenario, identify the kind of sample used by the tiniversity administrators: (a) Select several dormitories at random and contact everyone living in the selected dorms. (b) Using a computer-based list of registered students, contact 200 freshman, 200 sophomores, 200 juniors, and 200 seniors selected at random from each class. (c) Using a computer-based alphabetical list of registered students, select one of the first 25 on the list by random and then contact the student whose name is 50 names later, and then every 50 names beyond that.

Explanation / Answer

(a)

Cluster sampling

EXPLANATION:

In Cluster sampling:

Step 1:
The population is divided into groups (clusters),

Step 2:

From all possible clusters, select a sample number of clusters,

Step 3:

Select all samples from the selected clusters.

Here,

the clusters are dormitories

(b)

Stratified samplng

EXPLANATION:
Step 1:
Divide the population into srata

Step 2:

Take specified samples from each strata.

Here,

the strata are Freshmen, Sophomore, Juniors and Seniors

(c)

Systematic sampling

EXPLANATION:

Step 1:

Arrange the study population into an ordering scheme

Step 2:

Select elements at regular intervals

Here computerized alphabetical list is used.

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