number of fairways hit. 13. Here is a dotplot of the number of completed passes
ID: 3354423 • Letter: N
Question
number of fairways hit. 13. Here is a dotplot of the number of completed passes in 100 simulated football games where Peyton Manning has 34 attempts, assuming he has the ABILITY to complete 64% of his passes. 14 16 18 20 24 26 28 30 Simulated Number of Completions (a) In this context, explain what it means to have an ABILITY of 64%. (b) In the 100 simulated football games, what was Manning's best PERFORMANCE? Worst PERFORMANCE? (c) Suppose that in his first actual game next season, Manning attempts (d) Suppose that he completed only 10 of his 34 attempts in his first (e) How many completions would Manning need in an actual game (with (1) Suppose that you decide Manning's ABILITY has changed. What are some 34 passes and completes 25 of them. Would this be a surprising PERFORMANCE? Explain. actual game next season. Would this be a surprising PERFORMANCE? Explain. 34 attempts) to give you convincing evidence that his ABILITY has increased? Explain. possible reasons for this change?Explanation / Answer
13 a) In the context of question 64% of passes completed means for every pass Peyton Mannings attempt he will complete the pass with a probability of 0.64 or he will complete the pass 64% of the times.
If he attempts 34 passes in each match, on an average he have a chance to complete 0.64 * 34 = 21.76 of the passes.
b) By observing the dotplot
we can say that his
best performance is when he completed 29 passes
worst performance is when he completed 14 passes
c) No it is not that surprising since by simulated data he have a probability of completing 25 passes 7% of the times
d) Yes this is surprising since in simulated data he didn't completed as low as 10 passes not even once.
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