A company that makes cola drinks states that the mean caffeine content per​ 12-ounce bottle of cola is 40 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 caffeine content of 38.9 milligrams. Assume the population is normally distributed and the population standard deviation is 7.3 milligrams. At α=0.09​, can you reject the​ company's claim? Complete parts​ (a) through​ (e). ​(a) Identify H0 and Ha. Choose the correct answer below. A. H0​: μ=40 Ha​: μ≠40 B. H0​: μ=38.9 Ha​: μ≠38.9 C. H0​: μ≠40 Ha​: μ=40 D. H0​: μ≤40 Ha​: μ>40 E. H0​: μ≤38.9 Ha​: μ>38.9 F. H0​: μ≠38.9 Ha​: μ=

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A company that makes cola drinks states that the mean caffeine content per​ 12-ounce bottle of cola is
40
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 caffeine content of
38.9
milligrams. Assume the population is normally distributed and the population standard deviation is
7.3
milligrams. At
α=0.09​,
can you reject the​ company's claim? Complete parts​ (a) through​ (e).
 
 
 
​(a) Identify
H0
and
Ha.
Choose the correct answer below.
 
 
A.
H0​:
μ=40
Ha​:
μ≠40
 
B.
H0​:
μ=38.9
Ha​:
μ≠38.9
 
C.
H0​:
μ≠40
Ha​:
μ=40
 
D.
H0​:
μ≤40
Ha​:
μ>40
 
E.
H0​:
μ≤38.9
Ha​:
μ>38.9
 
F.
H0​:
μ≠38.9
Ha​:
μ=
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