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5 March, 14:00

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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  1. 5 March, 14:24
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    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.
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