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An Archer Is Usually Able to Hit the Bull's-Eye 82

Question 171

Multiple Choice

An archer is usually able to hit the bull's-eye 82% of the time.He buys a new bow hoping that it will improve his success rate.During the first month of practice with his new bow he hits the bull's-eye 363 times out of 430 shots.Is this evidence that with the new bow his success rate has improved? In other words,is this an unusual result for him? Explain.


A) No; we would normally expect him to make 352.6 bull's-eyes with a standard deviation of 63.47.363 is 0.2 standard deviations above the expected value.That's not an unusual result.
B) Yes; we would normally expect him to make 352.6 bull's-eyes with a standard deviation of 7.97.363 is 1.3 standard deviations above the expected value.That's an unusual result.
C) Yes; we would normally expect him to make 352.6 bull's-eyes with a standard deviation of 63.47.363 is 0.2 standard deviations above the expected value.That's an unusual result.
D) No; we would normally expect him to make 352.6 bull's-eyes with a standard deviation of 7.97.363 is 1.3 standard deviations above the expected value.That's not an unusual result.
E) No; we would normally expect him to make 352.6 bull's-eyes with a standard deviation of 18.78.363 is 0.6 standard deviations above the expected value.That's not an unusual result.

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