In a certain rural county, birth weights of babies are normally distributed with mean = 7.3 pounds and standard deviation = 1.3 pounds.Use this information to answer the following questions.

1.Is it unusual for a newborn baby to have a birth weight of 6 pounds?To answer this question, compute the z-score for a baby with a weight of 6 pounds and interpret the value you obtain.

2.Draw the normal curve for the birth weights and shade the area under the curve corresponding to babies weighing more than 8 pounds.What is the probability that a baby has a birth weight exceeding 8 pounds?

3.A study was done using a random sample of n = 25 expectant mothers to see if an experimental supplemental diet for the mothers will increase birth weights on average.The average birth weight of the n = 25 babies whose mothers participated in the study was = 8 pounds.Find the probability that the sample mean has a value of 8 or greater.

4.Use the probability you obtained in #3 to explain whether or not there is evidence that the new diet increases the birth weights of newborn babies.