ANOVA Problems Fall 2010

The following three ANOVA problems involve unequal sample size.

1.Profits from I electronic utilities, II financial services, III food processing. Test for a significant difference in profits at the 5% significance level.

I II III

49.1 55.6 39.0

43.4 25.0 37.3

32.9 41.3 10.8

27.8 29.9 32.5

38.3 39.5 15.8

36.1 42.6

20.2

2. Number of shards (broken pieces) of prehistoric Native American clay vessels in excavation from four archaeological regions in the Wind Mountain Range in New Mexico. Test for a significant difference in population means at the 5% significance level.

I II III IV

17 18 32 13

23 4 19 19

6 33 18 14

19 8 43 34

11 25 12

16 15

3. Measure of immediate memory recall. Test for a difference in population means at the 5 % significance level.

Soccer Athletes Non Soccer Athletes Control (non athletes)

n 86 95 53

x bar 29.9 30.94 29.32

s 3.73 5.14 3.78