# HW 7 - Natalie Jones ENME 392 18 October 2011 Homework 7 I...

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Natalie Jones ENME 392 18 October 2011 Homework 7 I pledge on my honor that I have not given or received any unauthorized assistance on this assignment. The questions are a follow-up to last-week’s assignment: (80 pts) a) Group your number-of-heads data into 25 groups of 4 points by taking the results of the first 4 tosses, then the next 4, and so on. Calculate the average and the variance of the number of heads in these groups. Show the results of your calculations in a table. Average  Variance  of Every 4 Trials 8.00 2.21 12.00 1.79 10.00 0.21 9.50 0.71 10.00 0.21 10.75 0.54 8.00 2.21 11.00 0.79 11.50 1.29 9.25 0.96 10.50 0.29 11.25 1.04 1.29 10.00 0.21 1.04 9.00 1.21 13.25 3.04 10.75 0.54 8.00 2.21 10.25 0.04 9.75 0.46 14.00 3.79 9.50 0.71 1

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Natalie Jones ENME 392 18 October 2011 Homework 7 7.25 2.96 9.00 1.21 b) Make a histogram showing the frequency distribution of the average number of heads. Show your binned data. Average  Bins N 0-7.99 1 8.00 8-8.99 3 8.00 9-9.99 6 8.00 10-10.99 7 9.00 11-11.99 5 9.00 12-12.99 1 9.25 13-13.99 1 9.50 14+ 1 9.50 9.75 10.00 10.00 10.00 10.25 10.50 10.75 10.75 11.00 11.25 11.50 12.00 13.25 2
Natalie Jones ENME 392 18 October 2011 Homework 7 14.00 c) On the same plot, show the expected sampling frequency distribution. Show the results of your calculations in a table.

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HW 7 - Natalie Jones ENME 392 18 October 2011 Homework 7 I...

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