: _____ ( to 2 decim

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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What is the p-value ? 
The p-value is: _____ ( to 2 decimals) 

**Hypothesis Testing for Mean GPA**

**Context:** Test the claim that the mean GPA of night students is larger than 3.2 at the 0.01 significance level.

**Null and Alternative Hypotheses:**

- \( H_0: \mu \leq 3.2 \)
- \( H_1: \mu > 3.2 \) 

**Test Type:** Right-tailed

**Sample Data:**
- Based on a sample of 25 people, the sample mean GPA was 3.23 with a standard deviation of 0.05.

**Test Statistic:**
- Calculated as 3 (rounded to 2 decimals)

**P-value:**
- (Value not provided; consider statistical software or z-tables for calculation based on \( Z \) value)

**Conclusion Criteria:**
- Based on the significance level of 0.01, determine whether to reject the null hypothesis.

**Decision:**
- (Decision not provided; if \( p \leq 0.01 \), reject the null hypothesis; otherwise, fail to reject it.)
Transcribed Image Text:**Hypothesis Testing for Mean GPA** **Context:** Test the claim that the mean GPA of night students is larger than 3.2 at the 0.01 significance level. **Null and Alternative Hypotheses:** - \( H_0: \mu \leq 3.2 \) - \( H_1: \mu > 3.2 \) **Test Type:** Right-tailed **Sample Data:** - Based on a sample of 25 people, the sample mean GPA was 3.23 with a standard deviation of 0.05. **Test Statistic:** - Calculated as 3 (rounded to 2 decimals) **P-value:** - (Value not provided; consider statistical software or z-tables for calculation based on \( Z \) value) **Conclusion Criteria:** - Based on the significance level of 0.01, determine whether to reject the null hypothesis. **Decision:** - (Decision not provided; if \( p \leq 0.01 \), reject the null hypothesis; otherwise, fail to reject it.)
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