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.

Answered: Image /qna-images/answer/9cfe9a00-3c18-40ca-8a5c-2df4bf774a1e.jpg

6. A university wants to promote the graduates of its honors program. At present it is stated that the GPA of the graduates is 3.5 or below. The university wants to prove at a 90% confidence that the mean GPA of these graduates is greater than 3.5. A sample of 25 university honors program students is taken and is found to have a mean GPA equal to 3.6. The sample standard deviation is 0.40. H₂: H₂: _crit = _stat = Decision: tail α = pvalue =

6. A university wants to promote the graduates of its honors program. At present it is stated that the GPA of the graduates is 3.5 or below. The university wants to prove at a 90% confidence that the mean GPA of these graduates is greater than 3.5. A sample of 25 university honors program students is taken and is found to have a mean GPA equal to 3.6. The sample standard deviation is 0.40. H₂: H₂: _crit = _stat = Decision: tail α = pvalue =

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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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