Problem 4 a) In the 1919 regular season, Swede Risberg of the Chicago White Sox had 106 hits in 4 at bats What percentage of his at bats resulted in a hit 26 (106 414)100 b) In the 1919 World Series, Risberg had only 2 hits in 25 at bats What percentage of his bats in the World Series results in a hit 8 (2 25 ) 100 8 c) Compare your answers from a) and b)STAT 1010 Statistics and Society Instructor Max Sampson Problem 4 continued We will assume that Risberg was expected to have hits in the World Series similar to his results in the regular season we place 414 beads in a bag 106 beads are gold and represent a hit, 308 beads are black and represent a non hit We will simulate 25 at bats that Risberg had in the World Series we mix up the beads and pull 25 beads out blindly (at random) and count the number of hits (i e gold beads) We perform 100 simulations to see the range of possible reasonable outcomes at the World Series The results are shown in the graph below 100 809000900 909060 00 Simulated Number of Hits d) There are 100 dots in the graph Explain why there are 100 and explain what each dot represents There are loo dots for the 100 simulations and each dot represents a hit e) In this simulation, what assumption are we making regarding Swede Risberg's ability to get a hit f) Based on the graph, how many hits would we have expected Risberg to get in a series of 25 at bats Explain your reasoning (Hint Remember CARE) g) Would you have been surprised if Risberg had 15 hits in his 25 at bats in the World Series Why or why not Justify your answer h) Do the results of the simulation give convincing evidence that Swede Risberg's ability to get a hit was lower in the World Series That is, do you believe that Swede's performance changed or do you believe he performed as expected (give or take natural random variation) Explain Note that later, Swede Risberg was banned from baseball for allegedly conspiring with gamblers to throw the World Series i) Does this simulation prove that he performed poorly on purpose Explain m STAT 1010 Homework 1

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Problem  4 a) In the 1919 regular season, Swede Risberg of the Chicago White Sox had 106 hits in 4 at bats  What percentage of his at bats resulted in a hit  26  (106 414)100 b) In the 1919 World Series, Risberg had only 2 hits in 25 at bats  What percentage of his bats in the World Series results in a hit  8   (2   25 ) 100  8  c) Compare your answers from a) and b)STAT 1010 Statistics and Society Instructor  Max Sampson Problem  4 continued We will assume that Risberg was expected to have hits in the World Series similar to his results in the regular season  we place 414 beads in a bag  106 beads are gold and represent a hit, 308 beads are black and represent a non hit  We will simulate 25 at bats that Risberg had in the World Series  we mix up the beads and pull 25 beads out blindly (at random) and count the number of  hits  (i e  gold beads) We perform 100 simulations to see the range of possible  reasonable  outcomes at the World Series  The results are shown in the graph below  100 809000900 909060 00  Simulated Number of Hits d) There are 100 dots in the graph  Explain why there are 100 and explain what each dot represents  There are loo dots for the 100 simulations and each dot represents a   hit e) In this simulation, what assumption are we making regarding Swede Risberg's ability to get a hit  f) Based on the graph, how many hits would we have expected Risberg to get in a series of 25 at bats  Explain your reasoning  (Hint  Remember CARE) g) Would you have been surprised if Risberg had 15 hits in his 25 at bats in the World Series  Why or why not  Justify your answer  h) Do the results of the simulation give convincing evidence that Swede Risberg's ability to get a hit was lower in the World Series  That is, do you believe that Swede's performance changed or do you believe he performed as expected (give or take natural random variation)  Explain  Note that later, Swede Risberg was banned from baseball for allegedly conspiring with gamblers to throw the World Series  i) Does this simulation prove that he performed poorly on purpose  Explain  m STAT  1010 Homework  1

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Problem #4 a) In the 1919 regular season, Swede Risberg of the Chicago White Sox had 106 hits in 4 at-bats. What percentage of his

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