Given the following, complete the ANOVA table and make the correct inference. So
ID: 3393277 • Letter: G
Question
Given the following, complete the ANOVA table and make the correct inference.
Source
SS
df
MS
F
Treatments
_____
3
_____
_____
Error
1156.56
_____
_____
Total
2202
23
ANSWER
a)What is your hypothesis?
b)In the above ANOVA table, is the factor significant at 5% level of significant?
c)What is the number of observations?
Source
SS
df
MS
F
Treatments
_____
3
_____
_____
Error
1156.56
_____
_____
Total
2202
23
ANSWER
a)What is your hypothesis?
b)In the above ANOVA table, is the factor significant at 5% level of significant?
c)What is the number of observations?
Explanation / Answer
a)
Null Hypothesis Ho : µ1 =µ2 =µ3 =µ4
Alternative Hypothesis : µ1 µ2 µ3 µ4
b)
Degrees of freedom between = k - 1 = 4 - 1 = 3
Degrees of freedom Within = n - k = 24 - 4 = 20
Degrees of freedom Total F( k-1,n - k,) at 0.05 is = F Crit = 3.098
F Cal = MS Between / Ms Within = 6.206
We got |F cal| = 30.552 & |F Crit| =3.098
Hence Value of |F cal| > |F Crit|and Here We Reject Ho
c)
we have 4 observations
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