Difference between revisions of "SOCR Courses 2008 2009 Stat13 1 Lab3b"
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| − | == | + | == [[SOCR_Courses_2008_2009_Stat13_1 | Stats 13.1]] - Laboratory Activity 3== |
| + | <center>This Lab is due on '''October 28, 2008'''</center> | ||
| − | + | ===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: | ||
| + | # Click the Charts tab on the [http://www.socr.ucla.edu SOCR website], 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 P(X>=2). | ||
| + | <hr> | ||
| − | + | {{translate|pageName=http://wiki.stat.ucla.edu/socr/index.php?title=SSOCR_Courses_2008_2009_Stat13_1_Lab3b}} | |
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Latest revision as of 11:37, 21 October 2008
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:
- Click the Charts tab on the SOCR website, 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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