Question

To detect the presence of harmful insects in farm fields, we can put up boards covered with a sticky material and examine the insects trapped on the boards. Which colors attract insects best? Experimenters placed six boards of each of four colors at random locations in a field of oats and measured the number of cereal leaf beetles trapped. Conduct a one-way ANOVA

What is the ratio of the largest standard deviation to the smallest standard deviation (in one decimal place)?

Blue	Green	White	Red
16	37	21	45
11	32	12	59
20	20	14	48
21	29	17	46
14	37	13	38
7	32	20	47

Answer 1

Following is the output of one way ANOVA analysis:

The p-value of the ANOVA is 0.0000

Since it is less than 0.05 so we reject the null hypothesis.

The largest standard deviation is 6.79

The smallest standard deviation is 3.76

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The ratio of the largest standard deviation to the smallest standard deviation is

6.79 / 3.76 = 1.81