
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.

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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