(1) The Coca-Cola Company reported that the mean per capital annual sales of its beverages in the United States was 423 eight-ounce servings. Suppose you are curious whether the consumption of Coca-Cola beverages is higher in Atlanta, Georgia, the location of Coca-Cola's corporate headquarters. A sample of 36 individuals from the Atlanta area showed a sample mean annual consumption of 460.4 eight-ounce servings with a standard deviation of 101.9 ounces. Using = 0.05, do the sample results support the conclusion that mean annual consumption of Coca-Cola beverage products is higher in Atlanta?

(2) Your company prepares and distributes frozen foods. The package claims a net weight of 24.5 ounces. A random sample of today's production was weighted, and the results were summarized as follows: average=24.41 ounces; standard deviation=0.11 ounce. Sample size=5 packages. Find the 95% confidence interval for the mean weight you would have found had you weighed all packages produced today. Interpret your results.

(3)here are some statistics about home sales by two competing real estate agencies, Sales prices were measured in euros

AGENCY A AGENCY B

Mean 240,000 350,000

Variance 3,249,000,000 3,721,000,000

Standard Deviation 57,000 61,000

Coefficient of Variation 0.24 0.17

(a)Interpret the central tendency and variation of sales prices realized by agency A

(b) Which measure do you think is best suited to compare the variation in sales prices between the two grades? Why? Choose the appropriate indicator and interpret.

(4)The table below lists the calories and sugar, in grams, in one serving of seven breakfast cereals

Cereals Calories Sugar

Kellogs All Bran 80 6

kellogg's Corn Flakes 100 2

Wheaties 100 4

Natures Path Organic Multigrain Flakes 110 4

Kelloggs Rice Krispies 130 4

Post Shredded Wheat Vanilla Almond 190 11

Kelloggs Mini Wheats 200 10

(a)Compute the covariance

(b) Compute the coefficient of correlation

(c)Which do you think is more valuable in expressing the relationship between calories and sugar - the covariance or the coefficent of correlation. Explain

(d) What is conclusion can you reach about the relationship between calories and sugar?