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

question 97

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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