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Hockey pucks used in professional hockey games must weigh between 5.5 and 6 ounces. if the weight of pucks manufactured by a particular process is bell-shaped and has mean 5.75 ounces, how large can the standard deviation be if 99.7% of the pucks are to be usable in professional games?

User Larrydag
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Solution: The weight of pucks manufactured by a particular process is bell-shaped and has mean 5.75 ounces

Therefore, we can use the Empirical Rule to find the standard deviation. Empirical Rule states that approximately 99.7% of all observations fall within three standard deviations of the mean.

Also we know that the acceptable range is between 5.5 and 6

So
5.5=5.75-3* SD


3* SD=5.75-5.5


SD=(0.25)/(3) =0.083

Also
6=5.75+3* SD


3* SD=6-5.75


SD=(0.25)/(3) =0.083

So if 99.7% of the pucks are to be usable in professional games, the standarddeviation should be 0.083.

User Serve Laurijssen
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