Question

In a completely randomized design, 12 experimental units were used for the first treatment, 15 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance (to 2 decimals, if necessary). If the answer is zero enter "0".

Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F |
p-value |

Treatments | 1400 | ||||

Error | |||||

Total | 1800 |

At a .05 level of significance, is there a significant difference between the treatments?

The p-value is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 9

What is your conclusion?

Answer #1

df treatments = k -1 = 3 - 1 =2

df error = N-k = (12+15+20) - 3 = 44

df total = N-1 = 47-1= 46

means square = SS/df

Fstat = MS treatment/MSerror = 700/90.09=77

p-value = 0.0000

Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square |
F |
p-value |

Treatments | 1400.0 | 2 | 700.0000 | 77.0000 | 0.0000 |

Error | 400.0 | 44 | 9.0909 | ||

Total | 1800.0 | 46 |

p-value is less than 0.01

reject Ho,

there is a significant difference between the treatments at α=0.05

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used for the first treatment, 15 for the second treatment, and 20
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