Question

Asked Dec 16, 2019

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Another type of painted ceramic vessel is called *three-circle red-on-white* ( *Mimbres Mogollon Archaeology*). At four different sites in an archaeological region, the number of such sherds was counted in local dwelling excavations.

Site I |
Site II |
Site III |
Site IV |

18 | 11 | 31 | 13 |

25 | 9 | 19 | 17 |

2 | 35 | 16 | 12 |

24 | 9 | 44 | 38 |

14 | 23 | 16 | |

12 | 14 |

Shall we reject or not reject the claim that there is no difference in the population mean three-circle red-on-white sherd counts for the four sites?

(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} |
= |

(c) Find the value of the sample *F* statistic. (Use 3 decimal places.)

(d) What are the degrees of freedom?

(e) Make a summary table for your ANOVA test.

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Step 1

The null and the alternative hypotheses are;

Null hypothesis: All means are equal.

Alternative hypothesis: At least one of the mean 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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