2012 5k Run | time |
---|---|

Rotary club | 28.0 |

Women & sport | 28.9 |

COM-FSM | 33.7 |

Olympic day | 29.1 |

Montreal protocol | 27.9 |

Xavier | 29.9 |

Micare | 28.3 |

The data is my time in minutes for 5k runs this year. Use the data in the second column for this statistical analysis.

- __________ Calculate the sample size n.
- __________ Calculate the minimum (quartile 0).
- __________ Calculate the first quartile (Q1).
- __________ Calculate the median (quartile 2).
- __________ Calculate the third quartile (Q3).
- __________ Calculate the maximum (quartile 4).
- __________ Calculate the Inter-Quartile Range (IQR).
- __________ Calculate 1.5 × IQR.
- __________ Calculate Q1 − 1.5 × IQR.
- __________ Calculate Q3 + 1.5 × IQR.
- Sketch the box plot for the data on the provided chart.
- __________ Calculate the range.
- __________ Calculate the mode.
- __________ Calculate the mean.
- __________ Calculate the sample standard deviation sx.
- __________ Calculate the standard error SE of the sample mean.
- __________ Calculate the degrees of freedom.
- __________ Calculate t-critical for a 95% confidence level.
- __________ Calculate the margin of error E of the sample mean.
- Calculate the 95% confidence interval for the population mean μ

p(__________ < μ < __________) = 0.95 - __________ Ten years ago my mean 5k time was 28.3 minutes. Is 28.3 minutes a possible population mean μ for my 2012 five kilometer run times?
- If 28.3 minutes is within the confidence interval for my 2012 five kilometer run times, then my times have not changed significantly. I have neither slowed down nor sped up. If 28.3 minutes is not within the confidence interval, then my time has changed by a statistically significant amount. Which is the case, is my 2012 mean 5k time faster, slower, or statistically the same as ten years ago?