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stat100_assignment2_solutions

# stat100_assignment2_solutions - Statistics 100 Assignment 2...

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Statistics 100 Assignment 2 Note: Most of the questions below need no more than a sentence or two for an answer. 1. This question looks long. Do not worry, but do follow directions carefully. Point your browser to the website: http://onlinestatbook.com/stat_sim/sampling_dist/index.html . Your browser should now be displaying a website that launches a simulation for Sampling Distributions . Do not worry about the details of the simulator. Click the Begin button in the top left corner of the window (under Sampling Distribution ). The window that I showed in class should now open. This question will use this window to illustrate some sampling properties. Upon initially displaying the window, there will be 4 plots. The first one is labelled Parent Population , followed by the Sampled Data and two Distribution plots. The x-axis on the plots show the possible measurement values one can observe. Initially, this is between 0 and 32. The y-axis shows the proportion of times particular values appear in the population. a. Click the Animated button. You should observe a sample of size n =5 being drawn from the population. The 3 rd plot should display the mean of your 5 observations. What is the observed mean? This will change for each student, but should be in the ballpark of 16 (say 15-17)

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b. Now click the Clear lower 3 button. Next, on the bottom plot, select Mean from the 1 st drop down-list and N=25 from the 2 nd drop down-list. Press the 10,000 button. The third plot now displays 10,000 averages from the 10,000 samples of size 5. The final plot shows the 10,000 averages from 10,000 samples of size 25. (i) What is the mean of the 10,000 averages from 10,000 samples of size 5? (ii) What is the mean 10,000 averages from 10,000 samples of size 25? (iii) Are they very different from the true population mean of 16? (The means are found to the left of the plot).
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