1. You are asked to evaluate 'Introduction to the Matrix' from the statistical data of the following seven (7) 'Introduction to the Matrix' course grade distributions: Class A Class B Class C Class D Class E Class F Class G Mean 71.8 75.2 73.8 82.2 79.6 78.0 73.7 Median 79.3 78.5 80.1 83.4 81.4 77.6 75.9 Mode 80.1 78.5 80.5 83.0 81.0 Std Dev 18.6 15.9 15.5 23 14 5.1 17 11.4 29 78.0 7.0 18 70.0 15.1 13 Students 24 (a) With 95% Statistical Confidence would you conclude that all Seven (7) Course Results are consistent with the Same Student Population (Do these results come from the same population)? Provide your conclusion (a) in up to 100 words. (b) Provide your finalised statistical metrics and analysis presentation (tables, graphs, etc.) utilised to support (reasoning behind) your answer to (a). Limit your rationale discussion to 150 words. (c) Which three (3) 'Introduction to the Matrix' classes would you most likely suspect to be possible outliers from these (7) classes? (d) Provide your statistical analysis, and rationale behind your choices to (c) in under 100 words.
1. You are asked to evaluate 'Introduction to the Matrix' from the statistical data of the following seven (7) 'Introduction to the Matrix' course grade distributions: Class A Class B Class C Class D Class E Class F Class G Mean 71.8 75.2 73.8 82.2 79.6 78.0 73.7 Median 79.3 78.5 80.1 83.4 81.4 77.6 75.9 Mode 80.1 78.5 80.5 83.0 81.0 Std Dev 18.6 15.9 15.5 23 14 5.1 17 11.4 29 78.0 7.0 18 70.0 15.1 13 Students 24 (a) With 95% Statistical Confidence would you conclude that all Seven (7) Course Results are consistent with the Same Student Population (Do these results come from the same population)? Provide your conclusion (a) in up to 100 words. (b) Provide your finalised statistical metrics and analysis presentation (tables, graphs, etc.) utilised to support (reasoning behind) your answer to (a). Limit your rationale discussion to 150 words. (c) Which three (3) 'Introduction to the Matrix' classes would you most likely suspect to be possible outliers from these (7) classes? (d) Provide your statistical analysis, and rationale behind your choices to (c) in under 100 words.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:### Evaluation of 'Introduction to the Matrix' Course Grade Distributions
You are tasked with analyzing the statistical data of seven 'Introduction to the Matrix' course grade distributions from different classes:
| | Class A | Class B | Class C | Class D | Class E | Class F | Class G |
|------------|---------|---------|---------|---------|---------|---------|---------|
| **Mean** | 71.8 | 75.2 | 73.8 | 82.2 | 79.6 | 78.0 | 73.7 |
| **Median** | 79.3 | 78.5 | 80.1 | 83.4 | 81.4 | 77.6 | 75.9 |
| **Mode** | 80.1 | 78.5 | 80.5 | 83.0 | 81.0 | 78.0 | 70.0 |
| **Std Dev**| 18.6 | 15.9 | 15.5 | 5.1 | 11.4 | 7.0 | 15.1 |
| **Students**| 24 | 23 | 14 | 17 | 29 | 18 | 13 |
1. **(a)** With 95% statistical confidence, determine whether all seven course results are consistent with the same student population. Provide your conclusion in up to 100 words.
2. **(b)** Present your finalized statistical metrics and analysis (tables, graphs, etc.) to support your reasoning for part (a). Limit this discussion to 150 words.
3. **(c)** Identify three 'Introduction to the Matrix' classes that might be outliers from the seven classes.
4. **(d)** Provide your statistical analysis and rationale for the choices in part (c) in under 100 words.
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