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May 13th, 2017, 05:48 PM  #1 
Newbie Joined: May 2017 From: Texas Posts: 2 Thanks: 0  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 Matchup 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 

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