AccountingQueen

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  • MBA.Graduate Psychology,PHD in HRM
    Strayer,Phoniex,
    Feb-1999 - Mar-2006

  • MBA.Graduate Psychology,PHD in HRM
    Strayer,Phoniex,University of California
    Feb-1999 - Mar-2006

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Category > Math Posted 18 Aug 2017 My Price 8.00

Stratified Random Sampling:

Stratified Random Sampling:

 

 

1.        A university has 807 faculty members. For each faculty member, the number of refereed publications was recorded. A frequency table for number of refereed publications is given below for a simple random sample of 50 faculty members.

 

Refereed Publications

0

1

2

3

4

5

6

7

8

9

10

Faculty Members

28

4

3

4

4

2

1

0

2

1

1

 

a.        Estimate the mean number of refereed publications by faculty members in the university, µ, and place a bound on the error of estimation, B.

 

b.       Estimate the total number of refereed publications by faculty members in the university, r, and place a bound on the error of estimation, B.

 

c.        Estimate the proportion, p, of faculty with no publications and place a bound on the error of estimation, B.

 

2.        Above, data on numbers of refereed publications were given for a simple random sample of 50 faculty members. Not all departments were represented, however, in the simple random sample. The following data are from a stratified random sample of faculty members, using biological sciences, physical sciences, social sciences, and humanities as the strata.

 

Stratum                          Number of Faculty

  Members in Stratum

Biological Sciences                    102

Number of Members in

7

Physical Sciences

310

19

Social Sciences

217

13

Humanities

178

11

 
 
Faculty

 

 Sample  

 

 

 

 

  Total                                             807                                    50                 


The frequency distribution for number of publications in the strata is given below.

 

Number Publications

Biological Sciences

Physical Sciences

Social Sciences

Humanities

0

1

10

9

8

1

2

2

0

2

2

0

0

1

0

3

1

1

0

1

4

0

2

2

0

5

2

1

0

0

6

0

1

1

0

7

1

0

0

0

8

0

2

0

0

 

a.        Estimate the total number of refereed publications by faculty members in the university, r, and place a bound on the error of estimation, B.

 

b.       How does your estimate for question #2.a compare with the result from the simple random sample in question #1.b?

 

 

c.        Estimate the proportion, p, of faculty with no publications and place a bound on the error of estimation, B.

 

d.       Did stratification in question #2.c increase precision relative to your estimate for question #1.c? Explain why you think it did or did not.

 

 

Answers

AccountingQueen
(3)
Status NEW Posted 18 Aug 2017 01:08 PM My Price 8.00

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