A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 50 milligrams. You want to test this claim. During your tests, you find that population standard deviation is 7.9 milligrams. At a = 0.09, can you reject the company's claim? Complete parts (a) through (e). random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 52.2 milligrams. Assume the population is normally distributed and the (a) Identify Ho and Ha. Choose the correct answer below. O A. Ho: H*52.2 HaiH = 52.2 O B. Ho: H# 50 HaiH = 50 0. H : με 52.2 Ha: H#52.2 Ο D. Ho μ 52.2 Ha:H< 52.2 O E. Ho: H2 50 HaiH< 50 F. Ho: H= 50 Ha:H# 50 (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.) O A. The critical values are t O B. The critical value is

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A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 50 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 52.2 milligrams. Assume the population is normally distributed and the population standard deviation is 7.9 milligrams. At α = 0.09, can you reject the company's claim? Complete parts (a) through (e).

(a) Identify \( H_0 \) and \( H_a \). Choose the correct answer below.

- F. \( H_0: \mu = 50 \)
- \( H_a: \mu \neq 50 \)

(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 \( \pm \) [box].

[Correct choice highlighted as F and "box" left for student input.]
Transcribed Image Text:A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 50 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 52.2 milligrams. Assume the population is normally distributed and the population standard deviation is 7.9 milligrams. At α = 0.09, can you reject the company's claim? Complete parts (a) through (e). (a) Identify \( H_0 \) and \( H_a \). Choose the correct answer below. - F. \( H_0: \mu = 50 \) - \( H_a: \mu \neq 50 \) (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 \( \pm \) [box]. [Correct choice highlighted as F and "box" left for student input.]
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