IvoDinov: Created page with '== Stats 13.1 - Laboratory Activity 3== ===Summary=== This lab is going to serve as a review of what we did in the previous three labs. ==…'

2011-11-16T18:31:09Z

Created page with '== Stats 13.1 - Laboratory Activity 3== ===Summary=== This lab is going to serve as a review of what we did in the previous three labs. ==…'

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== [[SOCR_Courses_2011_2012_Stat13_1 | Stats 13.1]] - Laboratory Activity 3==

===Summary===
This lab is going to serve as a review of what we did in the previous three labs.

===Part 1: Histograms===
Follow these steps:

# Go to the [http://socr.ucla.edu/htmls/SOCR_Charts.html SOCR Charts], and click on the arrow next to Bar Charts then XYPlots. Then click on '''HistogramChartDemo''' and go to the DATA tab.
# Open up another window (or another tab in the same browser window), go to the [http://www.socr.ucla.edu/htmls/SOCR_Modeler.html SOCR Modeler], and click on the '''Data Generation''' button.
# Choose the '''Normal Distribution''' from the drop-down menu. Let’s make the sample size 100 and standard deviation 75. Mean stays 0.
#Check the '''Raw Data''' check-box on the left side – this step is the simplest yet most important.
# Hit the '''Sample''' button and click on the Data tab next to the Graphs tab.
# Select all the data by holding ''Apple+A'' for Macs or ''Ctrl+A'' for PC. Press the COPY button at the top.
# Go back to the window with the '''HistogramChartDemo'''. Click on the '''DATA''' tab and press the '''PASTE''' button on the left hand side of the screen.
# Click on the '''MAPPING''' tab, and click on '''Add''' when C1 is highlighted. Then click on '''UPDATE_CHART''' at the top.
# Click on the '''GRAPH''' tab and play around with the bin size at the bottom. Take a picture of the histogram you created by using the Print Screen command. Comment on the changes you see as you increase/decrease the bin size.

===Part 2: Probability===
# Go to the [http://www.socr.ucla.edu/htmls/SOCR_Experiments.html SOCR Experiments]. We’re going to do the [http://socr.ucla.edu/htmls/exp/Coin_Die_Experiment.html Coin Die Experiment] again, so select it from the drop-down menu.
# Set the distribution of both dice to skewed left (6 should have the most probability).
# Set p = 0.8 and run 100 trials. Count the number of 6’s and take a picture of the graph.
# Repeat Step 3 with p = 0.2. Make sure you take a picture.
# Change the distribution of only the green die to skewed right (6 should have the least probability), and repeat steps 3 and 4. You should comment on changes and have 4 pics.

===Step 3: Binomial Distribution===
# Go to the [http://www.socr.ucla.edu/htmls/SOCR_Experiments.html SOCR Experiments]. Select [http://socr.ucla.edu/htmls/exp/Binomial_Coin_Experiment.html Binomial Coin Experiment].
# Make sure n=20 and p=0.50.
# Choose the Stop 10 option and press fast-forward. This will generate 10 simulations of 20 flips of the coin. Take a picture.
# Choose the Stop 100 option and press fast-forward. This will generate 100 simulations of 20 flips of the coin. Take a picture. Compare the histogram with the histogram from Step 3.
# Compare the histogram with the histogram of normal distribution.

===Step 4: Coin Toss===
# This portion does not require you to do any calculations on SOCR.
# '''Without''' using the equations of binomial distribution, solve the following problem: Let X equal the number of heads when you flip the coin 3 times. Calculate <math>P(X \ge 2)</math>.

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IvoDinov: Created page with '== Stats 13.1 - Laboratory Activity 3== ===Summary=== This lab is going to serve as a review of what we did in the previous three labs. ==…'