A large shipment of Granny Smith apples arrives at a grocery store. Weights of the apples are known to follow a normal distribution with mean 139 grams and standard deviation 9 grams.

Question

A large shipment of Granny Smith apples arrives at a grocery store.  Weights of the apples are known to follow a normal distribution with mean 139 grams and standard deviation 9 grams.

1)If you select a random sample of 50 apples, what is the probability that the total weight of the apples is greater than 6853.9 grams?

PsyDAG · Answer

6853.9/60 = 114.23 per apple, the score

Z = (score-mean)/SD

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability related to the Z score.