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A company that makes cola drinks states that the mean caffeine content per 12-ou

ID: 3040545 • Letter: A

Question

A company that makes cola drinks states that the mean caffeine content per 12-ounce botle of cola is 35 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean 0.03, can you reject the company's daim? Complete parts(a) through e). caffeine content of 36.3 milligrams with a standard deviation of 6.2 milligrams. At (a) Identify o and Ha. Choose the correct answer below. OA. Ho : #36.3 C. Ho: -36.3 0 B. Ho: # 35 Ha: = 35 Ha:

Explanation / Answer

Ans:

a)Option E is correct(two tailed test)

b)As,population standard deviation is unknown,we use t disribution.

df=30-1=29

critical t value=tinv(0.03,29)=+/-2.28

Test statistics:

t=(36.3-35)*sqrt(30)/6.2=1.148

p-value=TDIST(1.148,29,2)=0.2604

As,p-value>0.03,we fail to reject null hypothesis.

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