spring2008stat201-hw02KEY

# spring2008stat201-hw02KEY - 36-201 Spring 2008 Homework 2...

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This document available on: http://www.stat.cmu.edu/~gordonw/spring2008stat201.html 36-201 Spring 2008 Homework 2 – KEY

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Stat 201 Spring 2008 Page 1 of 7 Homework 2 – KEY This document available on: http://www.stat.cmu.edu/~gordonw/spring2008stat201.html Due: Wednesday, January 30 , at the beginning of lecture. Homework considered late beyond the first 10 minutes of lecture. Late Homework Policy: Late homework may be turned-in for a maximum of half credit, up to 4:00 PM on the same Wednesday the homework is due. Late homework should be placed in the manila envelope which will be posted by room 328-C, Facilities Management Building (FMS). Late homework should be labeled with the course as well as your name. Please do not turn in any homework to any mailboxes. Please include the top-page ‘coversheet’, filled-out and stapled to your homework. Show all work. This homework covers through the middle of section 2.5 in the course textbook. Point Distribution: Exercise 1 Exercise 2 Exercise 3 Exercise 4 Exercise 5 effort & neatness TOTAL 15 13 12 12 28 20 100 NOTE: To save paper, you are encouraged to print double-side (‘duplex’ mode). 1. On exercise 6 of homework 1, you investigated the following dataset, which represented the result of a [hypothetical] study of the fraction of prescribed medication completed by 30 patients: Fraction of Prescribed Doses Taken ( n = 30) 0.37 0.42 0.50 0.61 0.65 0.66 0.69 0.72 0.72 0.75 0.78 0.79 0.81 0.83 0.86 0.88 0.91 0.93 0.93 0.95 0.96 0.97 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 The histogram of the data (with frequency classes of width 0.1) should have appeared as follows:
Stat 201 Spring 2008 Page 2 of 7 Homework 2 – KEY This document available on: http://www.stat.cmu.edu/~gordonw/spring2008stat201.html 1 (a) Based on the shape of the distribution, how do you expect the mean to compare to the median ? Answer: We expect the mean to be less than the Median, due to the left-skewness. 1 (b) Confirm your expectation from part (a), by computing the median and then computing the mean , from the original data given on the previous page of this assignment [you may use a calculating device or software as necessary; you do not need to show work.] Report both values (be sure to say which is which!), and make sure that they compare in the way you expected in part (a). Answers:

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## This note was uploaded on 02/01/2009 for the course STAT 36-201 taught by Professor Gordon during the Fall '08 term at Carnegie Mellon.

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spring2008stat201-hw02KEY - 36-201 Spring 2008 Homework 2...

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