The Coca-Cola Company reported that the mean per capita annual sales of its beverages in the United States was 423 eight-ounce servings (Coca-Cola Company website, February 3, 2009). 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 X = 460.4 eight-ounce servings with a standard deviation of, v = 101.9 ounces. Using a = 0 05 do the sample results support the conclusion that mean annual consumption of Coca-Cola average products is highest in Atlanta?

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Answer:

The test results support the claim

Step-by-step explanation:

The Coca-Cola Company reported that the mean per capita annual sales of its beverages in the United States was 423 eight ounce servings (Coca-Cola Company website, February 3, 2009).

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 s = 101.9 ounces. Using α = .05, do the sample results support the conclusion that mean annual consumption of Coca-Cola beverage products is higher in Atlanta?

Hx: u <= 423 oz

Ha: u > 423 oz (claim)

z(460.4) = (460.4-423)/[101.9/sqrt(36)] = 2.2022

p-value = P(z > 2.2022) = 0.0138

Conclusion: Since the p-value is less than 5%

reject Hx at the 5% significance level.

The test results support the claim.