Test the claim that the mean GPA of night students is larger than 2.6 at the 0.01 significance level. The null and alternative hypothesis would be: Ho:p > 0.65 Ho:p< 0.65 Ho:p=0.65 Ho:µ< 2.6 H,:µ = 2.6 Ho:µ > 2.6 H1:p < 0.65 H1:p > 0.65 H1:p+0.65 H1:µ> 2.6 H:µ+ 2.6 H1:µ < 2.6 The test is: two-tailed right-tailed left-tailed Based on a sample of 65 people, the sample mean GPA was 2.63 with a standard deviation of 0.07 (to 2 decimals) The test statistic is: The p-value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis

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Chapter1: Starting With Matlab
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**Hypothesis Testing Example**

**Scenario:**  
Test the claim that the mean GPA of night students is larger than 2.6 at the 0.01 significance level.

**Step 1: Formulate Hypotheses**  
The null and alternative hypotheses would be:

- \( H_0: \mu \leq 2.6 \)   
- \( H_1: \mu > 2.6 \)   

**Step 2: Determine the Test Type**  
The test is:  
- Right-tailed

**Step 3: Gather Data**  
Based on a sample of 65 people, the sample mean GPA was 2.63 with a standard deviation of 0.07.

**Step 4: Calculate Test Statistic**  
- The test statistic is: [_________] (to 2 decimals)

**Step 5: Find p-value**  
- The p-value is: [_________] (to 2 decimals)

**Step 6: Make a Decision**
Based on this we:
- \( \square \) Fail to reject the null hypothesis
- \( \square \) Reject the null hypothesis

**Conclusion:**  
Complete the calculations to determine whether there is enough evidence to support the claim that the mean GPA is larger than 2.6.
Transcribed Image Text:**Hypothesis Testing Example** **Scenario:** Test the claim that the mean GPA of night students is larger than 2.6 at the 0.01 significance level. **Step 1: Formulate Hypotheses** The null and alternative hypotheses would be: - \( H_0: \mu \leq 2.6 \) - \( H_1: \mu > 2.6 \) **Step 2: Determine the Test Type** The test is: - Right-tailed **Step 3: Gather Data** Based on a sample of 65 people, the sample mean GPA was 2.63 with a standard deviation of 0.07. **Step 4: Calculate Test Statistic** - The test statistic is: [_________] (to 2 decimals) **Step 5: Find p-value** - The p-value is: [_________] (to 2 decimals) **Step 6: Make a Decision** Based on this we: - \( \square \) Fail to reject the null hypothesis - \( \square \) Reject the null hypothesis **Conclusion:** Complete the calculations to determine whether there is enough evidence to support the claim that the mean GPA is larger than 2.6.
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