MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**Problem Context:**
Use a t-test to test the claim about the population mean \( \mu \) at the given level of significance \( \alpha \) using the given sample statistics. Assume the population is normally distributed.

**Given:**
- Claim: \( \mu = 52,700 \)
- Significance level: \( \alpha = 0.10 \)
- Sample statistics: 
  - Sample mean \( \bar{x} = 52,611 \) 
  - Sample standard deviation \( s = 2,600 \) 
  - Sample size \( n = 20 \)

**Instructions:**
Click the icon to view the t-distribution table.

**Question:**
What are the null and alternative hypotheses? Choose the correct answer below:

**Options:**
- **A.** 
  - \( H_0: \mu \neq 52,700 \) 
  - \( H_a: \mu = 52,700 \)

- **B.** 
  - \( H_0: \mu \geq 52,700 \) 
  - \( H_a: \mu < 52,700 \)

- **C.** 
  - \( H_0: \mu \leq 52,700 \) 
  - \( H_a: \mu > 52,700 \)

- **D.** 
  - \( H_0: \mu = 52,700 \) 
  - \( H_a: \mu \neq 52,700 \)
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Transcribed Image Text:**Problem Context:** Use a t-test to test the claim about the population mean \( \mu \) at the given level of significance \( \alpha \) using the given sample statistics. Assume the population is normally distributed. **Given:** - Claim: \( \mu = 52,700 \) - Significance level: \( \alpha = 0.10 \) - Sample statistics: - Sample mean \( \bar{x} = 52,611 \) - Sample standard deviation \( s = 2,600 \) - Sample size \( n = 20 \) **Instructions:** Click the icon to view the t-distribution table. **Question:** What are the null and alternative hypotheses? Choose the correct answer below: **Options:** - **A.** - \( H_0: \mu \neq 52,700 \) - \( H_a: \mu = 52,700 \) - **B.** - \( H_0: \mu \geq 52,700 \) - \( H_a: \mu < 52,700 \) - **C.** - \( H_0: \mu \leq 52,700 \) - \( H_a: \mu > 52,700 \) - **D.** - \( H_0: \mu = 52,700 \) - \( H_a: \mu \neq 52,700 \)
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