A researcher wants to determine the impact of soil type on the growth of a certa
ID: 3364637 • Letter: A
Question
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.
a) What null hypothesis is the researcher testing if she runs an ANOVA with this data?
Soil 3 provides a lower mean growth for the plant than the other types of soil.
The mean growth of the plant is different in each type of soil.
The mean growth of the plant in each type of soil is the same.
One type of soil has a higher mean growth for the plant than the others.The variability in growth of the plant in each type of soil is the same.
b) What is the SStrt for the ANOVA? Give your answer to at least three decimal places.
c) What is DFerr for the ANOVA?
d) What is the value of the F statistic for the ANOVA? Give your answer to at least three decimal places.
e) Using a 0.05 level of significance, what conclusion should the researcher reach?
The mean growth of the plant is not the same for all soil types.
There is not enough evidence to reject the claim that the mean growth of the plant is the same in each type of soil.
Soil 3 has a lower mean growth for the plant than the other types of soil.
Soil 1 has a higher mean growth for the plant than the other types of soil.
Inches Soil 12.5 1 12.6 1 10.8 1 13 2 12.7 2 12.8 2 10.1 3 9.7 3 8.5 3 13.2 4 11.1 4 12.6 4Explanation / Answer
SolutioNA:
Ho:means of thenfur groups are same.
The mean growth of the plant in each type of soil is the same.
SolutionB:
b) What is the SStrt for the ANOVA? Give your answer to at least three decimal places.
20.507
SOlutioncC:
8
solutiond:
F=9.396
Solutione:
p=0.005
alpha=0.05
p<alpha
Reject null hypothesis
Accept atlernative hypothesis
atleast one of the means are different.
The mean growth of the plant is not the same for all soil types.
ANOVA Source of Variation SS df MS F P-value F crit Between Groups orTreatment 20.50667 3 6.835556 9.395953 0.005331 4.066181 Within Groups or Error 5.82 8 0.7275 Total 26.32667 11Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.