9. seminar
Problem 1
Sales revenues (in thousands) per month of three shop assistants were recorded during a
half-year period.
1. shop assistant: 12 10 9 10 11 9
2.shop assistant: 10 12 11 12 14 13
3. shop assistant: 19 18 16 16 17 15
At the significance level 0.05 test the hypothesis that the expected values of the sales
revenues are equal. If the test rejects the equality of expected values, identify that pairs of
shop assistants which caused the rejection.
Problem 2
Five independent random samples of sizes 5, 7, 6, 8, 5 are given. The i-th sample follows
normal distribution N(i, 2
), i = 1, . . . , 5. The total sum of squares and error sum of
squares were calculated: ST = 15, SE = 3. At the significance level 0.05 test the hypothesis
about equality of expected values.
Problem 3
The uncompleted ANOVA table is given. Comlete the table by replacing question marks
with correct values.
Sources of variability sum of squares degrees of freedom mean squares test statistic
factor ? 2 ? ?
error 16, 033 ? ? total
17, 301 35 - -