Please help! This is the data. -15 points A researcher wants to determine the im
ID: 3223354 • Letter: P
Question
Please help!
This is the data.
-15 points A researcher wants to determine the impact of soil type on the growth of a certain type af plant- She grows three plants in each of four different types of soil and measures the growth in inches for each plent after one month resulting in the data below. Use this file: Assignment 9o2 data FOR R a) What null hypothesls Is the researcher testing if she runs an ANOVA with thls data The mean growth of the plant in each type of soil is the same. The mean growth of the plant is different In each type of soll. The variability in growth thr plant in each type of soll is the same. One type of soll has a higher mean growth for the plant than the others soll 3 provides a lower maan growth for the plant than the other types of soll. b) What is the S for the ANOWA? Give your answer to a least three decimal places. c) What is DF for the ANOVA? d) What is the value of the statistic or the ANOVA Give your a wer to at east three decimal places. e) Using a 0.05 level of significance, what conclusion should th e researcher reach? The mean growth of the plant ls not the same for all soll types soll 1 has a higher mean growth for the plant than the other typas of soll. soll 3 has a lower mean growth for the plant than the other types of sol There is not enough evidence to reject the claim that the mean growth of the plant is the same in each type of soil.Explanation / Answer
R code for anova
Inches=c(11,12.3,11.4,13,9.5,11.9,10.1,8.2,7.9,12.8,12.5,12.5)
Soil=c(1,1,1,2,2,2,3,3,3,4,4,4)
anova=aov(Inches~factor(Soil))
summary(anova)
Output:
> summary(anova)
Df Sum Sq Mean Sq F value Pr(>F)
factor(Soil) 3 24.61 8.203 6.434 0.0159 *
Residuals 8 10.20 1.275
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Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
a) null hypothesis :
b)
c)
d)
e) Since p-value (0.0159) < 0.05 (Significance level). Reject H0
Inches=c(11,12.3,11.4,13,9.5,11.9,10.1,8.2,7.9,12.8,12.5,12.5)
Soil=c(1,1,1,2,2,2,3,3,3,4,4,4)
anova=aov(Inches~factor(Soil))
summary(anova)