Homework SourseThe 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 https://www.chegg.com/study/qa/postcurious 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?
a. Define the hypotheses that include selecting the null hypothesis and the alternative hypothesis and the numeric value.
h0:u --
ha:u--
b. calculate t. round your answer to 2 decimal place.
c. identify the degrees of freedm.
d. determine the Exact P-value. round your answer to 4 decimal places.
e. reject or do not reject the null hypothesis
plz give all details.
Solution
Answer to the question)
The hypothesis is:
Null hypothesis: Ho: M = 423
Alternate hypothesis : Ha: M > 423
[this is because the claim is that the mean consumption must be higher in Atlanta]
[it is a right tailed test]
.
Given:
.
The formula of test statistic is:
t= ( xbar - M) / (s / sqrt(n))
.
On plugging all the values we get:
t = (460.4 - 423) / (101.9 /sqrt(36))
t = 2.2022
.
df = 36 -1 = 35
.
for the P value , we need to know 3 things:
t= 2.2022
df = 35
right tailed test
.
now we can either refer to the T table and get the range of the P vlaue , or in order to find the exact P value we can either make use of Ti calculator or excel command
The excel command would be: =T.DIST.RT(2.2022,35)
We get P value = 0.01717
.
Inference: Since the P value 0.01717 < alpha 0.05, we reject the null hypothesis
.
conclusion: Thus we state that there is significant evidence to conclude that the Mean is greater than 423
