Researchers think that there may differences (uunder identical conditions) in th
ID: 3351954 • Letter: R
Question
Researchers think that there may differences (uunder identical conditions) in the pouring volume of 4 machines. They randomly sample the amount poured by each machine 6 times and want to compare the mean pouring amounts with a one-way ANOVA. Their data were m3 m4 15 14 15 16 14 16 18 19 18 18 19 19 18 18 19 17 19 18 19 20 18 19 18 19 1) (10 pts) State the Null and Aternative hypotheses for a One-way ANOVA: Ho HA: 2) (20 points) Use Excel to construct the ANOVA table. Copy and paste your spreadsheet to the Word document. Be sure to label the quantities (e.g., overall mean, treatment means, etc)Explanation / Answer
1)
H0: 1 = 2 = 3 = 4
H1: Not all of the population means are the same
2)
m1
m2
m3
m4
15
18
18
19
14
19
18
20
15
18
19
18
16
18
17
19
14
19
19
18
16
19
18
19
15
18.5
18.16666667
18.83333333
X1
X2
X3
X4
17.625
X
SSA=6(15-17.625)^2+6(18.5-17.625)^2+6(18.17-17.625)^2+6(18.83-17.625)^2=56.458
SSW=(15-15)^2+……..+(19-18.83)^2=11.17
MSA=56.458/(4-1)=18.82
MSW=11.17/(24-4)=0.5583
F=MSA/MSW=18.82/0.5583=33.7064677
Fcrit=3.1
Since F>Fcrit, reject the null hypothesis
m1
m2
m3
m4
15
18
18
19
14
19
18
20
15
18
19
18
16
18
17
19
14
19
19
18
16
19
18
19
15
18.5
18.16666667
18.83333333
X1
X2
X3
X4
17.625
X
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