## Answers

Following tables shows the calculations:

G1, I | G2, II | G3, III | G4, IV | |

7.2 | 6.2 | 4.9 | 4.4 | |

6.4 | 7.5 | 5.3 | 5.4 | |

7.1 | 7.9 | 4.7 | 6.1 | |

6.3 | 7.9 | 5.5 | ||

6.9 | 4.6 | |||

Total | 33.9 | 29.5 | 25 | 15.9 |

G | G^2 | |

7.2 | 51.84 | |

6.4 | 40.96 | |

7.1 | 50.41 | |

6.3 | 39.69 | |

6.9 | 47.61 | |

6.2 | 38.44 | |

7.5 | 56.25 | |

7.9 | 62.41 | |

7.9 | 62.41 | |

4.9 | 24.01 | |

5.3 | 28.09 | |

4.7 | 22.09 | |

5.5 | 30.25 | |

4.6 | 21.16 | |

4.4 | 19.36 | |

5.4 | 29.16 | |

6.1 | 37.21 | |

Total | 104.3 | 661.35 |

So we have Following table shows the calculations:

A)

Now,

B)

Since there are 4 different groups so we have k=4. Therefore degree of freedoms are:

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Now

C)

F test statistics is

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So p-value of the test is 0.0001.

Since P-value is less than 0.05 so we can conclude that populations mean are different. We reject the claim that the quantity of dissolved oxygen does not vary from one location to another