SOLUTION: the weight of consumables in a bag is approximately normally distributed with a mean of 36 grams and a standard deviation of 1.5 grams. if we wish to guarantee that about 90% of th

Question 975500: the weight of consumables in a bag is approximately normally distributed with a mean of 36 grams and a standard deviation of 1.5 grams. if we wish to guarantee that about 90% of the bags have more than particular weight of product, what minimum weight should we guarantee ?
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
we will use the z-score equation to identify the minimum weight to guarantee that 90% of the bags will have more than that weight, now
z-score associated with a probability of .10 ( 1 - .90 ) is -1.28
using z-score calculation
-1.28 = (X - 36) / 1.5
X - 36 = -1.28 * 1.5
X = (-1.28 * 1.5) + 36
X = 34.08 grams

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