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 eTextbook and Media Hint (b) Compute the sample mean. Enter the exact answer. Sample mean= eTextbook and Media Hint Assistance Used (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 eTextbook and Media Hint (d) Compute the sample mean. Enter the exact answer. Sample mean = eTextbook and Media Hint (e) Give the notation for the mean enrollment value for the entire population of these 82 graduate programs. eTextbook and Media Hint (f) Find the mean enrollment value for the entire population of these 82 graduate programs. Round your answer to two decimal places. Mean= eTextbook and Media Hint (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 eTextbook and Media Hint (h) Where will the sampling distribution be centered? Round your answer to two decimal places. Center= eTextbook and Media Hint

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 eTextbook and Media Hint (b) Compute the sample mean. Enter the exact answer. Sample mean= eTextbook and Media Hint Assistance Used (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 eTextbook and Media Hint (d) Compute the sample mean. Enter the exact answer. Sample mean = eTextbook and Media Hint (e) Give the notation for the mean enrollment value for the entire population of these 82 graduate programs. eTextbook and Media Hint (f) Find the mean enrollment value for the entire population of these 82 graduate programs. Round your answer to two decimal places. Mean= eTextbook and Media Hint (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 eTextbook and Media Hint (h) Where will the sampling distribution be centered? Round your answer to two decimal places. Center= eTextbook and Media Hint

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

eTextbook and Media

Hint

(b) Compute the sample mean.

Enter the exact answer.

Sample mean=

eTextbook and Media

Hint

Assistance Used

(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

eTextbook and Media

Hint

(d) Compute the sample mean.

Enter the exact answer.

Sample mean =

eTextbook and Media

Hint

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

eTextbook and Media

Hint

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

Round your answer to two decimal places.

Mean=

eTextbook and Media

Hint

(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