A plant ecologist wishes to test the hypothesis that the height of plant species

Question

A plant ecologist wishes to test the hypothesis that the height of plant species X depends on the type of soil it grows in. He measures the height of 3 plants (in cm) in each of 4 plots representing different soil types. All four plots are contained in a 2-mile square area.

Create an ANOVA table, show your work when calculating the sums of squares.

Give your analysis of the null hypothesis that there is no difference in the growth in different soil types. Explain your findings in one sentence.

Observation

Plot A

Plot B

Plot C

Plot D

1

15

25

17

10

2

9

21

23

13

3

4

19

20

16

Observation

Plot A

Plot B

Plot C

Plot D

1

15

25

17

10

2

9

21

23

13

3

4

19

20

16

Explanation / Answer

H0: There is no difference between means of four groups

H1:There is a difference between means of four groups

alpha:5%

Test statistic:

From Excel

F cal=7.044

Conclusion:

P value=0.0124

Since P < 0.05, we reject the H0. Hence Claim is significant.

Anova: Single Factor SUMMARY Groups Count Sum Average Variance Plot A 3 28 9.333333 30.33333 Plot B 3 65 21.66667 9.333333 Plot C 3 60 20 9 Plot D 3 39 13 9 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 304.6667 3 101.5556 7.044316 0.012356 4.066181 Within Groups 115.3333 8 14.41667 Total 420 11

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