A simple random sample of 45 medical school applicants at a university had an average MCAT score of 31.6 with a standard deviation of 2.4. The dean of admissions wants to know if the applicants at their university have a true average that is different than the national average of all applicants, which is 30. Test at .05 significance. Round to the fourth as needed We can work this problem because: Select an answer Ho: Select an answer Select an answer HA: Select an answer ✓ Select an answer Test Statistic: P-value:
A simple random sample of 45 medical school applicants at a university had an average MCAT score of 31.6 with a standard deviation of 2.4. The dean of admissions wants to know if the applicants at their university have a true average that is different than the national average of all applicants, which is 30. Test at .05 significance. Round to the fourth as needed We can work this problem because: Select an answer Ho: Select an answer Select an answer HA: Select an answer ✓ Select an answer Test Statistic: P-value:
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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![### Statistical Analysis Problem
A simple random sample of 45 medical school applicants at a university had an average MCAT score of 31.6 with a standard deviation of 2.4. The dean of admissions wants to know if the applicants at their university have a true average that is different than the national average of all applicants, which is 30. Test at a significance level of 0.05.
**Instructions:** Round to the fourth decimal as needed.
**Steps and Components:**
1. **Verification:**
- *We can work this problem because:* [Dropdown to select a reason]
2. **Hypotheses:**
- \( H_0: \) [Dropdown 1: select an option, Dropdown 2: select an option]
- \( H_A: \) [Dropdown 1: select an option, Dropdown 2: select an option]
3. **Calculations:**
- **Test Statistic:** [Input field]
- **P-value:** [Input field]
4. **Conclusion:**
- *Did something significant happen?* [Dropdown to select an answer]
- *Select the Decision Rule:* [Dropdown to select an answer]
- *Conclusion:* *There* [Dropdown: select an option] *enough evidence to conclude* [Dropdown to select an answer]
**Submit Button:**
- [Submit Question]
This problem guides you through conducting a hypothesis test, requiring you to determine the hypotheses, calculate the test statistic and p-value, and draw a conclusion based on the evidence presented.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc614d0cc-0eed-46aa-b3af-63162652eb2c%2F151a628b-f373-4c72-9c92-c8f7c9539b39%2Ftenz9d_processed.png&w=3840&q=75)
Transcribed Image Text:### Statistical Analysis Problem
A simple random sample of 45 medical school applicants at a university had an average MCAT score of 31.6 with a standard deviation of 2.4. The dean of admissions wants to know if the applicants at their university have a true average that is different than the national average of all applicants, which is 30. Test at a significance level of 0.05.
**Instructions:** Round to the fourth decimal as needed.
**Steps and Components:**
1. **Verification:**
- *We can work this problem because:* [Dropdown to select a reason]
2. **Hypotheses:**
- \( H_0: \) [Dropdown 1: select an option, Dropdown 2: select an option]
- \( H_A: \) [Dropdown 1: select an option, Dropdown 2: select an option]
3. **Calculations:**
- **Test Statistic:** [Input field]
- **P-value:** [Input field]
4. **Conclusion:**
- *Did something significant happen?* [Dropdown to select an answer]
- *Select the Decision Rule:* [Dropdown to select an answer]
- *Conclusion:* *There* [Dropdown: select an option] *enough evidence to conclude* [Dropdown to select an answer]
**Submit Button:**
- [Submit Question]
This problem guides you through conducting a hypothesis test, requiring you to determine the hypotheses, calculate the test statistic and p-value, and draw a conclusion based on the evidence presented.
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