Question

In a bumper test, three types of autos were deliberately crashed
into a barrier at 5 mph, and the resulting damage (in dollars) was
estimated. Five test vehicles of each type were crashed, with the
results shown below. *Research question:* Are the mean crash
damages the same for these three vehicles?

Crash Damage ($) | ||

Goliath |
Varmint |
Weasel |

1,600 | 1,250 | 1,050 |

790 | 1,420 | 2,160 |

870 | 1,300 | 1,850 |

1,960 | 1,810 | 1,250 |

1,220 | 980 | 1,910 |

Click here for the Excel Data File

Fill in the missing data. **(Round your p-value to 4
decimal places, mean values to 1 decimal place, and other answers
to 2 decimal places.)**

Group | Mean | n |
Std. Dev | Variance |

Goliath | Not attempted | Not attempted | Not attempted | Not attempted |

Varmint | Not attempted | Not attempted | Not attempted | Not attempted |

Weasel | Not attempted | Not attempted | Not attempted | Not attempted |

Total | Not attempted | Not attempted | Not attempted | |

One-Factor ANOVA | |||||

Source | SS |
df |
MS |
F |
p-value |

Treatment | Not attempted | Not attempted | Not attempted | Not attempted | Not attempted |

Error | Not attempted | Not attempted | Not attempted | ||

Total | Not attempted | Not attempted | |||

Calculate the value of *H*_{calc}. **(Round
your answer to 2 decimal places.)**

H_{calc}

Answer #1

Applying one way ANOVA on above data:

Group | Mean | n |
Std. Dev | Variance |

Goliath | 1288.0 | 5 | 494.03 | 244070 |

Varmint | 1352.0 | 5 | 302.44 | 91470 |

Weasel | 1644.0 | 5 | 471.04 | 221880 |

Total | 1428.0 | 15 | 430.10 |

Source | SS |
df |
MS |
F |
p-value |

Treatment | 360160.00 | 2 | 180080.00 | 0.97 | 0.4072 |

Error | 2229680.00 | 12 | 185806.67 | ||

Total | 2589840.00 | 14 |

H_{calc} = highest variance / lowest variance

= 244070 / 91470 =2.668 2.67

** H _{calc} = 2.67**

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In a bumper test, three types of autos were deliberately crashed
into a barrier at 5 mph, and the resulting damage (in dollars) was
estimated. Five test vehicles of each type were crashed, with the
results shown below. Research question: Are the mean crash
damages the same for these three vehicles?
Crash Damage ($)
Goliath
Varmint
Weasel
1,660
1,270
1,040
790
1,490
2,110
880
1,380
1,800
1,980
1,810
1,280
1,210
990
1,920
Fill in the missing data. (Round your p-value...

In a bumper test, three types of autos were deliberately crashed
into a barrier at 5 mph, and the resulting damage (in dollars) was
estimated. Five test vehicles of each type were crashed, with the
results shown below. Research question: Are the mean crash
damages the same for these three vehicles?
Crash Damage ($)
Goliath
Varmint
Weasel
1,600
1,290
1,090
760
1,400
2,100
880
1,390
1,830
1,950
1,850
1,250
1,220
950
1,920
Click here for the Excel Data File
Fill...

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