Jumbo shrimp are those that require 10 to 15 shrimp to make

Jumbo shrimp are those that require 10 to 15 shrimp to make a pound. Suppose that the number of jumbo shrimp in a 1-pound bag averages ? = 12.5 with a standard deviation of ? =1, and forms a normal distribution. What is the probability of randomly picking a sample on n=25 1-pound bags that average more than M=13 shrimp per bag?

Solution

P(xbar>13) = P((xbar-mean)/(s/vn) >(13-12.5)/(1/5))

=P(Z>2.5) = 0.0062 (from standard normal table)