A researcher wants to determine the impact of soil type on t

A researcher wants to determine the impact of soil type on the growth of a certain type of plant. She grows three plants in each of four different types of soil and measures the growth in inches for each plant after one month resulting in the data below.

Soil 1

Soil 2

Soil 3

Soil 4

12.5

13

10.1

13.2

12.6

12.7

9.7

11.1

10.8

12.8

8.5

12.6

ANOVA table

Using a 0.05 level of significance, what conclusion should the researcher reach?

a) There is not enough evidence to reject the claim that the mean growth of the plant is the same in each type of soil. (this answer is wrong)

b) Soil 3 has a lower mean growth for the plant than the other types of soil.

c) The mean growth of the plant is not the same for all soil types.

d) Soil 1 has a higher mean growth for the plant than the other types of soil.

Solution

Step 5                          
   F Cal = MS Between / Ms Within = 9.39595                      
   We got |F cal| = 9.39595 & |F Crit| =4.066                      
                          
MAKE DECISION                          
   Hence Value of |F cal| > |F Crit|and Here We Reject Ho                      

ANS:
   c) The mean growth of the plant is not the same for all soil types