SOCR Courses 2010 2011 Stat13 1 Lab3b
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This lab is going to serve as a review of what we did in the previous three labs. | This lab is going to serve as a review of what we did in the previous three labs. | ||
| - | + | ===Part 1: Histograms=== | |
Follow these steps: | Follow these steps: | ||
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# 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. | # 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=== | |
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# 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. | # 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 the distribution of both dice to skewed left (6 should have the most probability). | ||
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# 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. | # 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]. | # 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. | # Make sure n=20 and p=0.50. | ||
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# Compare the histogram with the histogram of normal distribution. | # 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. | # 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 P(X>=2). | # '''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 P(X>=2). | ||
Current revision as of 21:40, 30 January 2011
Contents |
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 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 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 SOCR Experiments. We’re going to do the 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 SOCR Experiments. Select 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 P(X>=2).
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