SOLUTION: Joe went bowling in two leagues. In the first league the mean bowling score is 167 with a standard deviation of 44. In the second league the mean bowling score is 180 with a standa

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Question 1179850: Joe went bowling in two leagues. In the first league the mean bowling score is 167 with a standard deviation of 44. In the second league the mean bowling score is 180 with a standard deviation of 35. If he bowls a game of 201 in both leagues, in which league is this score the best in comparison to the other bowlers?
Justify and Explain your answer.
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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You went bowling in two leagues. In the first league the mean bowling score is 167 with a standard deviation of 44.
In the second league the mean score is 180 with a standard deviation of 35.
If you bowl a game of 201 in both leagues in which league is this score the best
in comparison to the other bowlers? Explain why...
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In the first league, you standardized score is

    %28210-167%29%2F44 = 0.977  (approximately).


In the second league, you standardized score is

    %28210-180%29%2F35 = 0.857  (approximately).


So, in the first league, your score is better in comparison with other bowlers
than in the second league.

Solved.