Test the claim that the mean GPA of night students is larger than 2.1 at the 0.01 significance level. The null and alternative hypotheses would be: Но:р - 0.525 Но: и - 2.1 Но:р — 2.1 Но: — 2.1 Н:р 3 0.525 Н:р 3 0.525 Ho:P %3D |3D %3D H1:p > 0.525 H1:u2.1 H:µ > 2.1 H:µ< 2.1 H:p < 0.525 H1:p 0.525 The test is: left-tailed two-tailed right-tailed Based on a sample of 38 people, the sample mean GPA was 2.11 with a standard deviation of 0.2 The p-value is: (to 3 decimals) (to 2 decimals) The significance level is:

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**Test the Claim: Mean GPA of Night Students**

**Objective:**
Test the claim that the mean GPA of night students is greater than 2.1 at a 0.01 significance level.

**Hypotheses:**

- **Null Hypothesis (\(H_0\)):** \(\mu \leq 2.1\)
- **Alternative Hypothesis (\(H_1\)):** \(\mu > 2.1\)

**Test Type:**
Select the appropriate test type:
- Left-tailed
- Two-tailed
- **Right-tailed** (Chosen because we are testing if the mean is greater)

**Sample Data:**

- **Sample Size:** 38 people
- **Sample Mean GPA:** 2.11
- **Standard Deviation:** 0.2

**Statistical Analysis:**

- **P-value:** (To be filled in by the student, rounded to 3 decimals)
- **Significance Level:** 0.01

**Decision:**

Based on the calculated p-value:

- "Fail to reject the null hypothesis" if the p-value is greater than or equal to 0.01.
- "Reject the null hypothesis" if the p-value is less than 0.01.

**Instruction:**

Students are encouraged to submit the correct values and conclusions through the form. For additional help, contact the instructor.

**Action:**
Click "Submit Question" after filling in the required information.
Transcribed Image Text:**Test the Claim: Mean GPA of Night Students** **Objective:** Test the claim that the mean GPA of night students is greater than 2.1 at a 0.01 significance level. **Hypotheses:** - **Null Hypothesis (\(H_0\)):** \(\mu \leq 2.1\) - **Alternative Hypothesis (\(H_1\)):** \(\mu > 2.1\) **Test Type:** Select the appropriate test type: - Left-tailed - Two-tailed - **Right-tailed** (Chosen because we are testing if the mean is greater) **Sample Data:** - **Sample Size:** 38 people - **Sample Mean GPA:** 2.11 - **Standard Deviation:** 0.2 **Statistical Analysis:** - **P-value:** (To be filled in by the student, rounded to 3 decimals) - **Significance Level:** 0.01 **Decision:** Based on the calculated p-value: - "Fail to reject the null hypothesis" if the p-value is greater than or equal to 0.01. - "Reject the null hypothesis" if the p-value is less than 0.01. **Instruction:** Students are encouraged to submit the correct values and conclusions through the form. For additional help, contact the instructor. **Action:** Click "Submit Question" after filling in the required information.
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