Graduate Programs in Statistics! One of the many wonderful things about studying statistics is that graduate programs in statistics often pay their graduate students, which means that many graduate students in statistics are able to attend graduate school tuition free with an assistantship or fellowship. In 2009, there were 82 US statistics or biostatistics doctoral programs for which enrollment data were available.1 The dataset Statistics Grad Schools lists all these schools together with the total enrollment of full-time graduate students in each program in 2009. Click here to access StatKey. 1Full list of the 82 Group IV departments was obtained at http://www.ams.org/profession/data/annual-survey/group_iv. Data on enrollment obtained primarily from Assistantships and Graduate Fellowships in the Mathematical Sciences, 2009, American Mathematical Society. The list does not include combined departments of mathematics and statistics and does not include departments that did not reply to the AMS survey. (a) A random sample of 10 of the 82 enrollment values is given in the table below. Give the notation for the sample mean. University Department Enrollment Yale University Statistics 36 Iowa State University Statistics 145 Harvard University Statistics 67 University of California - Riverside Statistics 54 University of California - Los Angeles Biostatistics 60 University of Nebraska Statistics 44 Cornell University Statistics 78 Columbia University Statistics 196 University of California - Davis Statistics 34 Virginia Commonwealth University Statistics 15 (b) Compute the sample mean. Enter the exact answer. Sample mean= (c) Another random sample of 10 of the 82 enrollment values is given in the table below. Give the notation for this sample mean. University Department Enrollment University of Wisconsin Statistics 116 New York University Statistics 6 Case Western Reserve University Statistics 11 University of South Carolina Biostatistics 45 Boston University Biostatistics 39 University of Nebraska Statistics 44 University of Minnesota Biostatistics 48 Medical University of South Carolina Biostatistics 46 University of Iowa Biostatistics 35 Baylor University Statistics 26 (d) Compute the sample mean. Enter the exact answer. Sample mean = (e) Give the notation for the mean enrollment value for the entire population of these 82 graduate programs. (f) Find the mean enrollment value for the entire population of these 82 graduate programs. Round your answer to two decimal places. Mean= (g) Consider the sampling distribution if we calculate many sample means taking samples of size n=10 from this population of enrollment values. What shape will it have? Skewed to the left Skewed to the right Symmetric and bell-shaped Symmetric but not bell-shaped None of these (h) Where will the sampling distribution be centered? Round your answer to two decimal places. Center=

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Graduate Programs in Statistics!

One of the many wonderful things about studying statistics is that graduate programs in statistics often pay their graduate students, which means that many graduate students in statistics are able to attend graduate school tuition free with an assistantship or fellowship. In 2009, there were 82 US statistics or biostatistics doctoral programs for which enrollment data were available.1 The dataset Statistics Grad Schools lists all these schools together with the total enrollment of full-time graduate students in each program in 2009.

Click here to access StatKey.

1Full list of the 82 Group IV departments was obtained at http://www.ams.org/profession/data/annual-survey/group_iv. Data on enrollment obtained primarily from Assistantships and Graduate Fellowships in the Mathematical Sciences, 2009, American Mathematical Society. The list does not include combined departments of mathematics and statistics and does not include departments that did not reply to the AMS survey.

 

(a) A random sample of 10 of the 82 enrollment values is given in the table below. Give the notation for the sample mean.


University Department Enrollment
Yale University Statistics 36
Iowa State University Statistics 145
Harvard University Statistics 67
University of California - Riverside Statistics 54
University of California - Los Angeles Biostatistics 60
University of Nebraska Statistics 44
Cornell University Statistics 78
Columbia University Statistics 196
University of California - Davis Statistics 34
Virginia Commonwealth University Statistics 15
 

(b) Compute the sample mean.

Enter the exact answer.

Sample mean= 

 
 

(c) Another random sample of 10 of the 82 enrollment values is given in the table below. Give the notation for this sample mean.


University Department Enrollment
University of Wisconsin Statistics 116
New York University Statistics 6
Case Western Reserve University Statistics 11
University of South Carolina Biostatistics 45
Boston University Biostatistics 39
University of Nebraska Statistics 44
University of Minnesota Biostatistics 48
Medical University of South Carolina Biostatistics 46
University of Iowa Biostatistics 35
Baylor University Statistics 26

 
 
 
 

(d) Compute the sample mean.

Enter the exact answer.

Sample mean =

 
 
 

(e) Give the notation for the mean enrollment value for the entire population of these 82 graduate programs.

 

(f) Find the mean enrollment value for the entire population of these 82 graduate programs.

Round your answer to two decimal places.

Mean= 

 
 
(g) Consider the sampling distribution if we calculate many sample means taking samples of size n=10 from this population of enrollment values. What shape will it have?

Skewed to the left
Skewed to the right
Symmetric and bell-shaped
Symmetric but not bell-shaped
None of these
 
 
(h) Where will the sampling distribution be centered?

Round your answer to two decimal places.

Center= 
 
 
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