In a recent, USA Today article titled Consumers Are Caught in a Sugar Battle, Americans consume an average of 22.2 teaspoons of sugar per day. Assume daily sugar consumption follows the normal distribution with a standard deviation of 6.5 teaspoons.
a. What is the probability that a randomly selected American will consume
1. More than 25 teaspoons of sugar today?
2. Between 20 and 27 teaspoons of sugar today?
3. Between 10 and 18 teaspoons of sugar today?
4. Between 28 and 35 teaspoons of sugar today?
b. Confirm the answers to part a with Excel or PHStat.
c. How many teaspoons of sugar will a person consume today if he or she is in the 65th percentile?