The recommended daily calorie intake for teenage girls is 2200 calories
per day. A nutritionist at Euphoria State University believes the average
daily caloric intake of girls in her state to be lower because of the
advertising which uses underweight models targeted at teenagers. Our
nutritionist finds that the average of daily calorie intake for a random
sample of size \(n=36\) of teenage girls is 2150 .
Carefully set up and perform the hypothesis test for this situation and these
data. You may need to know that our nutritionist has been doing studies for
years and has found that the standard deviation of calorie intake per day in
teenage girls is about 200 calories.
Do you have confidence the nutritionist's conclusions? What does she need to
be careful of, or to assume, in order to get the best possible results?