According to the Genetics of Milking Characteristics in Dairy Cows, dairy cows have been found to have a mean milk yield of 12.5 kg per milking with a standard deviation of 4.3 kg per milking. Assume the data possesses a bell-shaped distribution.

a. Using Excel and showing work at the right, what are the upper and lower limits of the interval that contains 95% of the milk production of a dairy cow?

b. Does a dairy cow that yields 3.5 kg of milk fall within an interval which contains 95% of all dairy cow milk production? Why or why not?