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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: