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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