Chapter 7

Directions: (1) State and complete the appropriate probabilities in proper mathematical notation, (2) Complete formulas and substitutions, (3) Complete the diagram, (4) Use your calculator to compute the numerical result, and (5) Box-in your solution. Problem 3: [Estimating u for small samples] Calories in French fries. Data from eight popular fast food restaurants gives the number of calories in a 3 ounce serving of their french fries. The data: 222 255 254 230 249 222 237 287 (calories) Source: Good Cholesterol Bad Cholesterol, by Roth and Striecher. (a) Compute the sample mean x and sample standard deviation for the number of calories. X = and s = [Use your calculator & round to the nearest tenth] [2 each] (b) Find a 99% confidence interval for the mean calorie count of 3 ounce servings of French fries in the population of fast food restaurants. [Round to the nearest tenth] Problem 4: [Estimating p in the Binomial]. Broken Eggs. The manager of a large supermarket took a random sample of 250 egg cartons and found 40 cartons had at least one broken egg. Let p represent the proportion of egg cartons with at least one broken egg out of the population of all egg cartons stocked in the store. (a) Find a point estimate p for p. (Round to 2 decimal places) (b) Find a 90% confidence interval for p. (Round to 2 decimal places) -2