Given the following complete the ANOVA table and make the co

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?

Solution

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