Question

Suppose there are 400 residents living in a 10-story dorm. Thirty residents are randomly selected for a survey on the adequacy of their dorm facilities.

19.(x pts) What is the population of interest?(Circle One)

(a) µ = .075 (d) p = .075 (b) The 400 residents living in the dorm (e) The 30 residents surveyed (c) All students at the university (e) None of these

20.(x pts) Suppose that we group the residents by which story they live on. If we randomly selected the second story and interview everyone on that story this would be an example of a (Circle One) (a) cluster random sample (d) simple random sample (b) systematic sample (e) stratified sample (c) census (e) None of these

21.(x pts) Suppose we believe residents on each floor of the dorm tend to have similar views regarding the facilities. However, we also believe residents seem to have different views depending on what floor they live on. What type of sampling method would be the most appropriate in this situation? Explain in one clear sentence.

22.(x pts) We are interested in knowing what proportion of residents consider their dorm facilities to be adequate. After conducting the sample described in the previous question, we find that 67% of those sampled considered the dorm facilities to be adequate. In the space provided below, define both the parameter and statistic in symbols and words.

Answer 1

(19)

Correct option:

(b) The 400 residents living in the dorm

(20)

Correct option:

(a) cluster random sample

(21)

Correct option:

Stratified Sampling method

EXPLANATION:

Each floor is taken as one stratum   Select a specified number of residents from each floor through Simple Random Sampling technique. Consolidating all the selections thus made will constitute the desired stratified sample.

(22)

P = Population Parameter = Proportion of residents in the entire dorm who considered the dorm facilities to be adequate

= Sample Statistic = Proportion of residents in the sample who considered the dorm facilities to be adequate