The CocaCola Company reported that the mean per capita annua

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

Define the hypotheses that include selecting the sign of the null hypothesis and the alternative hypothesis and the numeric value.

H0:
Ha:

Calculate t. Round your answer to 2 decimal places.

Identify the degrees of freedom.

Determine the Exact p-value. Round your answer to 4 decimal places.

Reject or Do Not Reject he null hypothesis.

Solution

A)

Formulating the null and alternative hypotheses,              
              
Ho:   u   <=   423  
Ha:    u   >   423   [ANSWER]

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b)

Getting the test statistic, as              
              
X = sample mean =    460.4          
uo = hypothesized mean =    423          
n = sample size =    36          
s = standard deviation =    101.9          
              
Thus, t = (X - uo) * sqrt(n) / s =    2.202158979   [ANSWER]

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C)
              
As we can see, this is a    right   tailed test.      
              
Thus, getting the critical t,              

df = n - 1 =    35   [ANSWER]

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D)              
      
              
Thus, the p value is, as this is right tailed,              
              
p =    0.017167374 [ANSWER]

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e)

          
              
As P < 0.05, we   REJECT THE NULL HYPOTHESIS.