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?

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

Also

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

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