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The Coca-Cola Company reported that the mean per capita 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 s = 101.9 ounces. Using α = 0.05, do the sample results support the conclusion that mean annual consumption of Coca-Cola beverage products is higher in Atlanta?

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Answer:

Step-by-step explanation:

This is a hypothesis testing of single mean with population mean.

[tex]H_0: x bar =423\\H_a: x bar >423[/tex]

(One tailed test)

Sample mean = 460.4 and n = 36 and s = 101.9 oz

Alpha = 0.05

Mean diff = 37.4 and std error = 101.9/sqrt 36 = 16.98

Test statistic t = mean diff/se = 2.20

p = 0.01725

Since p <0.05 reject H0.

There is evidence to show that the consumption of Coca-Cola beverages is higher in Atlanta, Georgia, the location of Coca-Cola's corporate headquarters