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May 13th, 2017, 05:48 PM   #1
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Statistics project needed to graduate.

In this lab you will pit your self against your class mates to see who is the ultimate rock, paper, scissors champion.

Data collection:

Play rock paper scissors against five different people in clasw. Record the amount of wins below. Write W for a win and L for a loss"

Part 1: How Good are you?

Example: Player 1: W L W L L Player 2: L L W W L

Player 1, Player 2, Player 3, Player 4, Player 5

Total # of wins__ proportion of wins___

Check the conditions to create a confidence interval for the true proportion of wins you had.



Create a 95% confidence interval

Interpret the interval

If I wanted the level of confidence the same, but cut your margin of error in half, how many times would you have to play this game? Show work

Part 2: Are you better than the average?

If your proportion of wins is less that 50% run a significance test to prove that your true proportion of wins is really less than 50 %

If your proportion of wins is less that 50% run a significance test to prove that your true proportion of wins is really greater than 50 %

(You will only run 1 test)

Conditions: Name of inference: Work Shown: Conclusion:

1. What does you P value mean, in contect of the situation?

Part 3: RPS Match-up

Find a person that had a similar proportion of wins as you and play them 20 times and record your wins below:

Ex: Partner 1: W,L,W,L,W,W.....

Number of wins: ____/20 Proportion of wins:____/20

Partner # of wins _____/20 Partnerer Prop. of wins____/20





is your difference significant?

Run a significance test using a significance level of .05, to see if there is a significant difference in you and your partners scores.

Conditions: Name of inference: Work Shown: Conclusion:

What is the actual difference?

Run a 90% confidence interval to find the true difference in you and your partners scores.

Conditions: name of inference: Work shown: Conclusion:

Does your interval show proof that you or your partner are better at Rock paper scissors that the other? Explain.



Part 4:

What is a Type 1 Error, in contect of this situtation?

What is a Type 2 Error, in contect of this situtation?

What describes the power of this test in this situation?



Fill in the following table:



We Incrase the alpha level of our significance test from .05 to .10

Effects on: Type 1 error, Type 2 error, Effects on power



We increase the number of games that we play.

Effects on: Type 1 error, Type 2 error, Effects on power



we decide to play only 10 games instead of 25

Effects on: Type 1 error, Type 2 error, Effects on power



We chance our alpha level for .05 to .01

Effects on: Type 1 error, Type 2 error, Effects on power
kaid is offline  
 
May 23rd, 2017, 12:48 AM   #2
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Math Focus: Stochastic processes, statistical inference, data mining, computational linguistics
Can you tell us what you don't understand and/or have difficulties with? We can't just tell you how to do this series of very specific problems.
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