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David Ebert
MTH 697: Using Statistics 1
June 25, 1999
STATISTICS OLYMPICS PROJECT
Objectives: Students will collect data from their classmates.
Students will determine mean and standard deviation of the data and represent data using a frequency distribution.
Students will find a confidence interval for their mean.
Students will conduct a 2-sample T-Test to compare means of two sets of data.
Students will use the TI-83 to calculate results and TI Graph Link to help display data.
Assessment: Students will complete the attached worksheet and write a paper describing their results.
Teacher Notes:
Have students get in groups of about three. Each group should pick one of the following olympic events (or any additional events):
Standing long jump High jump Shuttle run time
Softball throw Number of golf balls held in one hand
Number of push-ups Number of free throws made out of 10
Time to thread needle Number of strokes to make a 15 putt
Students will need to determine how they will measure their data. How much accuracy will they use? What units will they use?
Students should be situated in stations in the gym. One student should stay at their station at all times while the others circulate to all other stations. Everyone should get to each station. All measurements should be made on the attached data sheet.
When complete, groups should analyze their data and answer all questions on their worksheet.
Students need to write a short paper describing their results. This should include the use of the TI Graph Link.
Name___________________
STATISTICS OLYMPICS
Answer the following:
What is your event?
What are your units?
How accurate will you be measuring?
Do you anticipate a difference between male and female values? Why?
Describe your procedure.
Fill in the following table:
Female ValuesMale Values
Enter your data into three lists on your TI-83. Enter female data in L1, enter male data in L2, and enter the total set in L3.
First analyze the entire data set (L3):
What is the mean?
What is the standard deviation?
Use a T Interval to find the 95% confidence interval for the mean.
Analyze the females (L1):
What is the mean?
What is the standard deviation?
Analyze the males (L2):
What is the mean?
What is the standard deviation?
Use a 2-Sample T-Test to compare the means of the two sets (L1 and L2):
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Is this result statistically significant? Explain why or why not.
Sample Paper
Statistics
Mr. Ebert
STATISTICS OLYMPICS PROJECT
In this project, my group and I had a lot of fun collecting some data from our fellow classmates. We timed how long it would take for each person to thread a needle. We measured our times to the nearest tenth of a second.
For the entire class, the mean (average) was about 25.1 seconds and the standard deviation was about 16.3 seconds. There was a large amount of variance between peoples times in the class. Using a T-Interval, we found the 95% confidence interval to be between 17.4 and 32.7 seconds. This means that 95% of the time if we ran a similar experiment we should expect values within this range.
For the females, the mean was about 20.9 seconds with a standard deviation of about 15.3 seconds. For the males, the mean was about 30.2 seconds with a standard deviation of about 16.9 seconds.
Comparing the two sample means using a 2-sample T-Test, our null hypothesis was that our means were equal and our alternate hypothesis was that the mean of the females is less than the mean of the males. We ran a test and got a p value of .108. We would like a p value <.05 to say our results are statistically significant.
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