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

Inches	Soil
12.2	1
12.8	1
11.9	1
10.8	2
12.2	2
12.3	2
9.3	3
9.9	3
10.8	3
13	4
11.8	4
11.9	4

a) What null hypothesis is the researcher testing if she runs anANOVA with this data?

The mean growth of the plant is different in each type ofsoil.

The variability in growth of the plant in each type of soil isthe same.    

The mean growth of the plant in each type of soil is thesame.

One type of soil has a higher mean growth for the plant than theothers.

Soil 3 provides a lower mean growth for the plant than the othertypes of soil.

b) What is the SS_trt for the ANOVA? Give your answer toat least three decimal places.  

c) What is DF_err for the ANOVA?  

d) What is the value of the F statistic for the ANOVA? Give youranswer to at least three decimal places.  
e) Using a 0.1 level of significance, what conclusion should theresearcher reach?

There is not enough evidence to reject the claim that the meangrowth of the plant is the same in each type of soil.

Soil 3 has a lower mean growth for the plant than the othertypes of soil.    

Soil 1 has a higher mean growth for the plant than the othertypes of soil.

The mean growth of the plant is not the same for all soiltypes.