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Asked Dec 16, 2019

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How productive are U.S. workers? One way to answer this question is to study annual profits per employee. A random sample of companies in computers (I), aerospace (II), heavy equipment (III), and broadcasting (IV) gave the following data regarding annual profits per employee (units in thousands of dollars).

I |
II |
III |
IV |

27.2 | 13.3 | 22.2 | 17.3 |

23.2 | 9.3 | 20.1 | 16.6 |

14.8 | 11.8 | 7.9 | 14.4 |

8.2 | 8.7 | 12.2 | 15.1 |

11.3 | 6.5 | 7.7 | 10.2 |

19.7 | 9.8 |

Shall we reject or not reject the claim that there is no difference in population mean annual profits per employee in each of the four types of companies? Use a 5% level of significance.

(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) Make a summary table for your ANOVA test.

Step 1

Given data and calculation is shown below

Step 2

SS_{Between} is given by

Step 3

Test-statistic is...

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