mngrams. At =0.03, can you reject the company's claim? Complete parts (a) through (e). (a) Identify Ho and Ha. Choose the correct answer below. CA. H μ= 50 Ha u#50 O B. Ho: µ# 50.7 Ha: u = 50.7 OC. Ho: H#50 H p= 50 O D. Ho: µ2 50 H3 µ< 50 O E. Ho: H= 50.7 Ha u#50.7 OF Ho: H2 50.7 H: µ< 50.7 (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 ± O B. The critical value is >

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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**Transcription of Educational Content**

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 50.7 milligrams. Assume the population is normally distributed and the population standard deviation is 7.9 milligrams. At \(\alpha = 0.03\), can you reject the company’s claim? Complete parts (a) through (e).

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

- A. \(H_0: \mu = 50\); \(H_a: \mu \neq 50\)  (Correct answer selected)
- B. \(H_0: \mu \neq 50.7\); \(H_a: \mu = 50.7\)
- C. \(H_0: \mu = 50\); \(H_a: \mu > 50\)
- D. \(H_0: \mu \leq 50\); \(H_a: \mu > 50\)
- E. \(H_0: \mu = 50.7\); \(H_a: \mu \neq 50.7\)
- F. \(H_0: \mu \geq 50.7\); \(H_a: \mu < 50.7\)

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**(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 \(\pm\) _____
- O B. The critical value is _____

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- Help me solve this
- View an example
- Get more help

The interface contains a button labeled "Check answer" for users to submit their responses. 

**Copyright Information:** © 2021 Pearson Education Inc. All rights reserved.  
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Transcribed Image Text:**Transcription of Educational Content** 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 50.7 milligrams. Assume the population is normally distributed and the population standard deviation is 7.9 milligrams. At \(\alpha = 0.03\), can you reject the company’s claim? Complete parts (a) through (e). --- **(a) Identify \(H_0\) and \(H_a\). Choose the correct answer below.** - A. \(H_0: \mu = 50\); \(H_a: \mu \neq 50\) (Correct answer selected) - B. \(H_0: \mu \neq 50.7\); \(H_a: \mu = 50.7\) - C. \(H_0: \mu = 50\); \(H_a: \mu > 50\) - D. \(H_0: \mu \leq 50\); \(H_a: \mu > 50\) - E. \(H_0: \mu = 50.7\); \(H_a: \mu \neq 50.7\) - F. \(H_0: \mu \geq 50.7\); \(H_a: \mu < 50.7\) --- **(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 \(\pm\) _____ - O B. The critical value is _____ **Options:** - Help me solve this - View an example - Get more help The interface contains a button labeled "Check answer" for users to submit their responses. **Copyright Information:** © 2021 Pearson Education Inc. All rights reserved. Terms of Use | Privacy Policy | Permissions | Contact Us The bottom bar includes icons for system functions and displays the current temperature and date/time.
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