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StatisticsQ&A LibraryA sociologist studying New York City ethnic groups wants to determine if there is a difference in income for immigrants from four different countries during their first year in the city. She obtained the data in the following table from a random sample of immigrants from these countries (incomes in thousands of dollars). Use a 0.05 level of significance to test the claim that there is no difference in the earnings of immigrants from the four different countries.Country ICountry IICountry IIICountry IV12.98.820.617.79.817.916.88.710.719.822.614.18.510.35.821.716.9 19.319.5(b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Round your answers to three decimal places.)SSTOT= SSBET= SSW= Find d.f.BET, d.f.W, MSBET, and MSW. (Round your answer to three decimal places for MSBET and MSW.)dfBET= dfW= MSBET= MSW= Find the value of the sample F statistic. (Round your answer to three decimal places.)What are the degrees of freedom? Make a summary table for your ANOVA test.Question

Asked Dec 16, 2019

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A sociologist studying New York City ethnic groups wants to determine if there is a difference in income for immigrants from four different countries during their first year in the city. She obtained the data in the following table from a random sample of immigrants from these countries (incomes in thousands of dollars). Use a 0.05 level of significance to test the claim that there is no difference in the earnings of immigrants from the four different countries.

Country I |
Country II |
Country III |
Country IV |

12.9 | 8.8 | 20.6 | 17.7 |

9.8 | 17.9 | 16.8 | 8.7 |

10.7 | 19.8 | 22.6 | 14.1 |

8.5 | 10.3 | 5.8 | 21.7 |

16.9 | 19.3 | 19.5 |

(b) Find *SS*_{TOT}, *SS*_{BET}, and *SS*_{W} and check that *SS*_{TOT} = *SS*_{BET} + *SS*_{W}. (Round your answers to three decimal places.)

SS_{TOT} |
= | |

SS_{BET} |
= | |

SS_{W} |
= |

Find *d.f.*_{BET}, *d.f.*_{W}, *MS*_{BET}, and *MS*_{W}. (Round your answer to three decimal places for *MS _{BET}* and

df_{BET} |
= | |

df_{W} |
= | |

MS_{BET} |
= | |

MS_{W} |
= |

Find the value of the sample *F* statistic. (Round your answer to three decimal places.)

What are the degrees of freedom?

Make a summary table for your ANOVA test.

Step 1

Null Hypothesis:

H0: The mean earnings of immigrants for the four different countries are the same.

Alternative Hypothesis:

H1: At least one mean earning is different.

**Procedure to obtain the values using MegaStat:**

- Enter the data in an excel sheet.
- Go to
**MegaStat > Analysis of variance ...**

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