you believe that the trouble with your experiment lies in the fact that two type
ID: 3132891 • Letter: Y
Question
you believe that the trouble with your experiment lies in the fact that two types of oal leaves were used white and bur oak.Preliminary small scale experiments seem to show that bur oak leaves led to a higher standard deviation value. Therefore you design a new experiment to see if bur oak trees indeed lead to a higher standard deviation value. The following are your results.
Food leaf choice
White oak 78.6(average hind tibia length) 25(n) 4.86(standard deviation)
bur oak 80.1(average hind tibia length) 25(n) 8.15(standard deviation)
check to see if bur oak trees led to statistically greater deviation in hind tibia length value for male cicadas compared to white oak leaves. use the 5 step procedure at =0.05
Explanation / Answer
State th ehypotheses:
H0: mub-muw=0
The difference in hind tibia length value for male cicadas between bur oak and white oak leaves is zero.
H1: mub-muw > zero.
The hind tibial length for bur oak is higher than white oak.
State assumptions:
Independent group assumption: Randomizing the experiment gives independent groups.
Independence assumption: Subjects were assigned randomly to treatment groups.
Randomized condition: Experiment was randomized.
Nearly normal condition: Data set is not there to plot histogram, but assume the distribution of white oak and bur oak trees follow normal condition.
State the test statistic:
From data, nb=25 yb=80.1, sb=8.15 and nw=25, yw=78.6, sw=4.86
For independent groups, SE(yb-yw)=sqrt [SE(yb)^2+SE(yw)^2]=sqrt[sb^2/nb+sw^2/nw]
=sqrt[8.15^2/25+4.86^2/25]=1.90
t=[(yb-yw)-0]/SE(yb-yw)=80.1-78.6-0/1.90=0.79
p value is 0.434.
Conclusion. The p value is not less than 0.05. Therefore, fail to reject null hypothesis. There is not sufficient sample evidenc eto conclude that the difference in mean of bur oak hind tibia length is higher than white oak hind tibia length valu efor mal ecicadas.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.