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:
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:
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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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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