SOLUTION: The weight of a sophisticated running shoe is normally distributed with a mean of 12 ounces
and a standard deviation of 0.5 ounces.
a. What is the probability that a shoe weighs
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Question 1168080: The weight of a sophisticated running shoe is normally distributed with a mean of 12 ounces
and a standard deviation of 0.5 ounces.
a. What is the probability that a shoe weighs more than 13 ounces?
b. What must the standard deviation of weight be in order for the company to state that 99.9%
of its shoes are less than 13 ounces?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
z=(x-mean)/sd
=(13-12)/0.5=2 sd
the probability is z>2 or 0.0228
-
99.9% is a z-value of 3.09
so 3.09=(1)/sd
so sd has to be 1/3.09 or 0.324 oz.
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