# 02402 · Exercise Quiz 12

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## Question 1 of 2

Four tasters evaluated the sweetness of five products on a scale from 0 to 10 with the following results:

Product | taster 1 | taster 2 | taster 3 | taster 4 |
---|---|---|---|---|

product 1 | 6 | 8 | 10 | 7 |

product 2 | 3 | 5 | 8 | 4 |

product 3 | 10 | 9 | 9 | 8 |

product 4 | 7 | 6 | 6 | 6 |

product 5 | 8 | 8 | 10 | 7 |

The critical value for the usual test of the hypothesis that there is no difference between the five products when data is assumed to be normal and $\alpha = 5\%$ is:

## Question 2 of 2

The so-called cell-number in a sample of milk expresses the degree of inflammation of the udder (mastitis). The logarithm of the cell-number was observed in samples of milk taken from 166 sheep (one sample per sheep) from a total of 3 herds. The average cell-number in all 166 sheep was 4.896. The following table shows some basic numbers for the calculations.

Herd | Number of sheep | Mean | Standard deviation |
---|---|---|---|

Herd 1 | 39 | 4.823 | 1.654 |

Herd 2 | 67 | 5.293 | 1.706 |

Herd 3 | 60 | 4.499 | 1.746 |

The usual test statistic for testing if there is a difference in the level of cell-number in the three herds is: