1. Some standard food items are randomly selected and the carbohydrate content in grams of the foods are measured. the food items are 12 oz. of regular coffee, one cup of whole milk with 3.3% fat, one egg, one banana, one plain donut, one tablespoon of peanut butter, one carrot, and 10 potato chips. The result were 0, 12, 1, 27, 24, 3, 7, 10.
a.) Assuming a normal distribution, find the percentage of population amounts that exceeds 3 gram. use the sample values of x(with a line on top of the x) and s as estimates of ? and ?.
b.) Find the actual percentage of these sample values that exceeds 3 grams.
2. According to data from the american medical association, 10% of us are left-handed.
a.) If three people are randomly selected, find the probability that at least one of them is left-handed.
b.) Why cant we solve the problem in the question before by using the normal approximation to the binomial distribution.
c.) Would it be unusual to get 8 left-handed people in a randomly selected group of 50 people? Why or why not?