Question

Suppose that weights of bags of potato chips coming from a factory follow a normal distribution with mean 12.8 ounces and standard deviation 0.6 ounces. A bag of chips is taken off the conveyor belt and weighed. If the weight found was 12.55 ounces, then what is the corresponding z-score for that data?

Round your answer to two decimal places.

Answer 1

std dev = 0.625

Given that weights of bags of potato chips coming from a factory follow a normal distribution with mean 12.8 ounces and standard deviation .6 ounces.

We must change std deviation such that

P(X<12) =0.01

Mean would remain the same as 12.8 oz

From normal distribution score we can find

10th percentile is -1.28\

i.e. we must have

Std deviation should be 0.625

Explanation:

Hope this helps:)