SOLUTION: he weight of potatoes produced by one particular farm are found to be approximately normally distributed, with the mean weight of 147 g and a standard deviation of 23g.

Question 1138187: he weight of potatoes produced by one particular farm are found to be approximately normally distributed, with the mean weight of 147 g and a standard deviation of 23g.
What proportion of the potatoes produced by this farm will weigh less than 160 g ?
and Of all the potatoes produced on the farm, 5% are considered too light. What is the maximum weight that will be considered too light?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
z=(x-mean)/sd
z<(160-147)/23 or < 13/23
probability is 0.7140
the 5%ile is a z of -1.645
-1.645=(x-147)/23
-37.8=x-147
x=109.2 g

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