21. O Baby! The weights of 3-month-old baby girls are normally distributed with a mean of 5.9 kilograms and a standard deviation of 0.7.6 In an inner city pediatric facility, a random sample of 16 3-month-old baby girls was selected and their weights were recorded.

a. What is the probability that the average weight of the 16 baby girls is more than 6.4 kilograms?

b. What is the probability that the average weight of the 16 baby girls is less than 5.0 kilograms?

c. If the average weight of the 16 girls at this inner city pediatric facility was 5.0 kilograms, what conclusions might you draw? Explain.