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

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(52805) (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...
~~~~~~~~~~~~~~~~~~~

In the first league, you standardized score is

     = 0.977  (approximately).


In the second league, you standardized score is

     = 0.857  (approximately).


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

Solved.

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