A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 55 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles cola has a mean caffeine content of 57.4 milligrams. Assume the population is normally distributed and the population standard deviation is 6.9 milligrams. At a = 0.04, can you reject the company's claim? Complete parts (a) through (e). E (a) Identify Ho and H₂. Choose the correct answer below. OA. Ho: 257.4 OB. Ho: H=57.4 H₂:μ*57.4 H₂H<57.4 C. Ho: H=55 H₂:μ#55 OD. Ho: μ255 H:H<55 ⒸF. Ho: #55 OE. Ho: *57.4 H₂:μ=57.4 Ημ= 55 (b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.). A. The critical values are ± 2.05. OB. The critical value is. Identify the rejection region(s). Choose the correct answer below. OA OB. OC. O Fail to reject Ho Fail to reject Ho Fail to reject Ho Q X Reject Ho-/ M 0 Reject Ho Reject Ho- 0 Reject Ho Q G F

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A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 55 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles cola has a mean
caffeine content of 57.4 milligrams. Assume the population is normally distributed and the population standard deviation is 6.9 milligrams. At a = 0.04, can you reject the company's claim? Complete parts (a) through (e).
C
(a) Identify Ho and H₂. Choose the correct answer below.
OA. Ho: 257.4
OB. Ho: H=57.4
H_:μ#57.4
H₂H<57.4
C. Ho: H=55
H₂:μ#55
OD. Ho: μ255
H:H<55
OE. Ho: 57.4
OF. Ho: *55
H₂:μ=57.4
Ημ= 55
(b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice.
(Round to two decimal places as needed.)
A. The critical values are ± 2.05.
OB. The critical value is.
Identify the rejection region(s). Choose the correct answer below.
OA
OB.
O C.
O
Fail to reject Ho
Fail to reject Ho
Fail to reject Ho
Q
X
Reject Ho-/
C
Ó
Reject Ho
Reject Ho-
0
Reject Ho
Q
G
FO
Transcribed Image Text:A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 55 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles cola has a mean caffeine content of 57.4 milligrams. Assume the population is normally distributed and the population standard deviation is 6.9 milligrams. At a = 0.04, can you reject the company's claim? Complete parts (a) through (e). C (a) Identify Ho and H₂. Choose the correct answer below. OA. Ho: 257.4 OB. Ho: H=57.4 H_:μ#57.4 H₂H<57.4 C. Ho: H=55 H₂:μ#55 OD. Ho: μ255 H:H<55 OE. Ho: 57.4 OF. Ho: *55 H₂:μ=57.4 Ημ= 55 (b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) A. The critical values are ± 2.05. OB. The critical value is. Identify the rejection region(s). Choose the correct answer below. OA OB. O C. O Fail to reject Ho Fail to reject Ho Fail to reject Ho Q X Reject Ho-/ C Ó Reject Ho Reject Ho- 0 Reject Ho Q G FO
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