Question

The Academic Dean for Extraordinaire University (EU) assessed all new students for their motivation to learn as measured by the Rigorous Expectation for Knowledge Aspiration (REKA). He expects for the EUREKA scores to improve each year. Is there a significant difference in the EUREKA scores?

YEAR 1 | YEAR 2 | YEAR 3 | YEAR 4 |

3 | 4 | 7 | 4 |

4 | 3 | 6 | 2 |

4 | 5 | 6 | 2 |

4 | 4 | 5 | 2 |

3 | 3 | 5 | 5 |

3 | 5 | 8 | 5 |

4 | 3 | 6 | 2 |

4 | 2 | 5 | 5 |

4 | 4 | 6 | 5 |

4 | 4 | 6 | 4 |

4 | 4 | 8 | 5 |

4 | 5 | 8 | 4 |

4 | 3 | 8 | 4 |

2 | 4 | 7 | 5 |

4 | 3 | 8 | 3 |

2 | 2 | 6 | 2 |

4 | 5 | 5 | 2 |

4 | 5 | 7 | 4 |

4 | 4 | 5 | 2 |

4 | 5 | 8 | 4 |

4 | 2 | 7 | 5 |

3 | 2 | 7 | 3 |

3 | 5 | 8 | 4 |

4 | 4 | 5 | 5 |

4 | 5 | 5 | 3 |

4 | 2 | 6 | 4 |

2 | 3 | 8 | 3 |

2 | 3 | 7 | 4 |

2 | 5 | 7 | 5 |

3 | 3 | 5 | 2 |

4 | 2 | 7 | 4 |

2 | 4 | 7 | 3 |

4 | 5 | 8 | 2 |

4 | 4 | 6 | 2 |

4 | 2 | 6 | 4 |

4 | 2 | 5 | 5 |

4 | 5 | 5 | 3 |

3 | 2 | 8 | 4 |

4 | 2 | 6 | 5 |

4 | 2 | 6 | 4 |

4 | 4 | 6 | 2 |

4 | 3 | 5 | 3 |

4 | 4 | 8 | 4 |

4 | 2 | 5 | 5 |

3 | 5 | 6 | 3 |

3 | 5 | 8 | 3 |

4 | 4 | 5 | 4 |

4 | 5 | 7 | 3 |

4 | 5 | 8 | 2 |

3 | 2 | 7 | 2 |

4 | 3 | 6 | 3 |

4 | 3 | 7 | 4 |

4 | 5 | 8 | 4 |

4 | 5 | 8 | 3 |

4 | 2 | 6 | 4 |

3 | 3 | 7 | 5 |

3 | 5 | 7 | 2 |

4 | 2 | 5 | 2 |

4 | 2 | 8 | 5 |

4 | 5 | 7 | 4 |

3 | 3 | 6 | 2 |

The appropriate test for this problem is:

- t test for one sample
- t test for dependent samples
- t test for independent samples
- one-way ANOVA
- repeated measurements ANOVA

he obtained statistic value is:

- 135.83
- 126.67
- 407.49
- 669.56

The associated p value is:

- < .1
- < .01
- < .001
- < .0001

Decision is:

- reject the null
- retain the null

Conclusion is:

- year 1 scores are significantly higher than the other years
- year 1 scores are significantly lower than the other years
- year 3 scores are significantly higher than the other years
- year 4 scores are significantly lower than the other years
- year 4 scores are significantly higher than year 1 and year 2
- no conclusion can be drawn

Answer #1

The statistical software output for this problem is:

Hence,

1. Appropriate test: **One way ANOVA**

**Option D** is correct.

2. Obtained statistic = 124.39 [Closest to 126.67]

**Option B** is correct.

3. p - value < 0.0001

**Option D** is correct.

4. Reject the null

**Option A** is correct.

5. **Option C** is correct.

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