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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I keep getting the wrong answers and am trying to figure out where I am making a mistake. Please show me the steps in detail so I can see the right way to solve this equation.

 
 
 
**Hypothesis Testing for University Honors Program Graduates**

A university aims to highlight the achievements of its honors program graduates. Currently, the graduates have an average GPA of 3.5 or below. The university seeks to demonstrate, with 90% confidence, that the mean GPA exceeds 3.5. A sample of 25 students from the honors program reveals a mean GPA of 3.6, with a sample standard deviation of 0.40.

**Null Hypothesis (H₀):**  
The mean GPA of the graduates is 3.5 or lower.

**Alternative Hypothesis (Hₐ):**  
The mean GPA of the graduates is greater than 3.5.

The diagram includes:

1. **Bell Curve:**
   - Illustrates the distribution of GPAs. Evaluation focuses on the right-tail for testing whether the mean GPA exceeds 3.5.

2. **Table for Statistical Values:**
   - **_crit =**: Critical value.
   - **α =**: Significance level (alpha).
   - **_stat =**: Test statistic.
   - **p-value =**: Probability value.
  
**Decision:**
- Based on the p-value and comparison with α, conclude whether to reject or fail to reject the null hypothesis.
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Transcribed Image Text:**Hypothesis Testing for University Honors Program Graduates** A university aims to highlight the achievements of its honors program graduates. Currently, the graduates have an average GPA of 3.5 or below. The university seeks to demonstrate, with 90% confidence, that the mean GPA exceeds 3.5. A sample of 25 students from the honors program reveals a mean GPA of 3.6, with a sample standard deviation of 0.40. **Null Hypothesis (H₀):** The mean GPA of the graduates is 3.5 or lower. **Alternative Hypothesis (Hₐ):** The mean GPA of the graduates is greater than 3.5. The diagram includes: 1. **Bell Curve:** - Illustrates the distribution of GPAs. Evaluation focuses on the right-tail for testing whether the mean GPA exceeds 3.5. 2. **Table for Statistical Values:** - **_crit =**: Critical value. - **α =**: Significance level (alpha). - **_stat =**: Test statistic. - **p-value =**: Probability value. **Decision:** - Based on the p-value and comparison with α, conclude whether to reject or fail to reject the null hypothesis.
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