spring2008stat201-hw08KEY

spring2008stat201-hw08KEY - 36-201 Spring 2008 Homework 8...

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This document available on: http://www.stat.cmu.edu/~gordonw/spring2008stat201.html 36-201 Spring 2008 Homework 8 – KEY
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Stat 201 Spring 2008 Page 1 of 13 Homework 8 – KEY This document available on: http://www.stat.cmu.edu/~gordonw/spring2008stat201.html Due: Wednesday, March 26 , 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 chapter 6 in the course textbook. Point Distribution: Exercise 1 Exercise 2 Exercise 3 Exercise 4 Exercise 5 effort & neatness TOTAL 5 14 19 23 19 20 100 NOTE: To save paper, you are encouraged to print double-sided (‘duplex’ mode).
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Stat 201 Spring 2008 Page 2 of 13 Homework 8 – KEY This document available on: http://www.stat.cmu.edu/~gordonw/spring2008stat201.html IMPORTANT NOTE: The second hourly exam will be held Monday April 7, in lecture. The exam will cover through the material on this homework, which you will get back in the prior lab. 1. [spread of the sampling distribution of mean] Suppose that, in a chemistry class, you want to measure the mass of a certain substance, using a certain laboratory apparatus. The apparatus is not perfect. Readings with the apparatus will fluctuate independently. Suppose it is known that individual readings with this apparatus will fluctuate with standard deviation of 10 = σ grams. The lab book says to make 4 measurements and then report the mean, x , of the four measurements. 1 (a) Repeated averages will also fluctuate. Use the ‘one-over-square-root law’ as shown in lecture [also shown on page 289 of the text] to compute the standard deviation x of the averages of 4 measurements each. [Show work.] Solution: = = = = 2 10 4 10 n x 5 . 1 (b) Substitute the appropriate numbers to complete the following sentence: With this apparatus, an individual measurement is expected to be ‘off’ (from truth) by about 10 grams, while the average of four measurements is expected to be ‘off’ (from truth) by about 5 grams. 1 (c)
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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-hw08KEY - 36-201 Spring 2008 Homework 8...

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