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Asked Dec 16, 2019

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Wild irises are beautiful flowers found throughout the United States, Canada, and northern Europe. This problem concerns the length of the sepal (leaf-like part covering the flower) of different species of wild iris. Data are based on information taken from an article by R. A. Fisher in *Annals of Eugenics* (Vol. 7, part 2, pp. 179 -188). Measurements of sepal length in centimeters from random samples of *Iris setosa* (I), *Iris versicolor* (II), and *Iris virginica* (III) are as follows below.

I |
II |
III |

5.6 | 5.5 | 6.9 |

4.5 | 6.6 | 5.5 |

5.4 | 6.5 | 4.3 |

5.4 | 4.6 | 7.9 |

4.7 | 5.6 | 5.8 |

5.9 | 6.6 | 6.3 |

5.6 | 5.6 | |

6.9 |

Shall we reject or not reject the claim that there are no differences among the population means of sepal length for the different species of iris?

(b) Find *SS _{TOT}, SS_{BET}*, and

SS_{TOT} |
= | |

SS_{BET} |
= | |

SS_{W} |
= |

Find *d.f. _{BET}, d.f._{W}, MS_{BET}*, and

df_{BET} |
= | |

df_{W} |
= | |

MS_{BET} |
= | |

MS_{W} |
= |

Find the value of the sample *F* statistic. (Use 2 decimal places.)

What are the degrees of freedom?

Make a summary table for your ANOVA test.

1 Rating

Step 1

The null and the alternative hypotheses are;

Null hypothesis: All means of sepal length of different species of iris are equal.

Alternative hypothesis: At least one of the mean of sepal length of different species of iris is different.

Step 2

Excel is used to analyze the provided data. Steps are as follows:

- Enter the data into the spreadsheet.
- Go to Data>Data Analysis>Anova: Single factor>ok.
- Fill in the required columns and click ok.
- The obtained result is,

Step 3

(b) The required values for...

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