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Question: A different species of cockroach has weights that follow a Normal distribution with a mean of 50 grams. After measuring the weights of many of these cockroaches, a lab assistant reports that 14% of the cockroaches weigh more than 55 grams. Based on this report, what is the approximate standard deviation of weights for this species of cockroaches?

(a) 4.6

(b) 5.0

(c) 6.2

(d) 14.0

(e) Cannot determine without more information.

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