Question Details

Sally Bird of Big Rapids Realty has received data on 60 houses 



NARRBEGIN: SA_96_102
The manager of a small computer company has collected current annual salaries and number of years of post-secondary education for 52 full-time employees. The data are shown below:

Current annual salaries:

 


Number of years of post-secondary education:

 
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1.	(A) Compute the mean, median, and standard deviation of the annual salaries for the 52 employees in the given frame.

(B) Use Excel to choose a systematic sample of size 13 from the frame of annual salaries.

(C) Compute the mean, median, and standard deviation of the annual salaries for the 13 employees included in your systematic sample in (B)

(D) Compare your statistics in (C) with your computed descriptive measures for the frame in (A). Is your systematic sample representative of the frame with respect to the annual salary variable? 

(E) Assume that we wish to stratify these employees by the number of years of post-secondary education, select such a stratified sample of size 15 with approximately proportional sample sizes.

(F) Compute the mean, median, and standard deviation of the annual salaries for the 15 employees included in your stratified sample in (E).

(G) Compare these statistics in (F) with your computed descriptive measures for the frame obtained in (A). Is your stratified sample representative of the frame with respect to the annual salary variable? 	


NARRBEGIN: SA_103_105
Sally Bird of Big Rapids Realty has received data on 60 houses that were recently sold in Mecosta County in Michigan. The data are recorded in the table shown below. Included in this data set are observations for each of the following variables:

•	The appraised value of each house (in thousands of dollars)
•	The selling price of each house (in thousands of dollars)
•	The size of each house (in hundreds of square feet)
•	The number of bedrooms in each house 

 
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	2.	(A) Suppose that Sally wishes to examine a representative subset of these 60 houses that has been stratified by the number of bedrooms. Use Excel to assist her by finding such a stratified sample of size 10 with proportional sample sizes.

(B) Explain how Sally could apply cluster sampling in selecting a sample of size 15 from this frame.

(C) What are the advantages and disadvantages of employing cluster sampling in this case?	





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