Complete the ANOVA table Source DF SS MS Between Groups 3 5

Complete the ANOVA table

Source

DF

SS

MS

Between Groups

3

5

Within groups

12

337

total

472

How many groups were in the study

How many total observations were there

State the H₀ and H₁ and test at 5% level of significant

Solution

How many groups were in the study

k = df1 + 1 = 3 + 1 = 4 [ANSWER]

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how many total observations were there

N = df1 + df2 + 1 = 3 + 12 + 1 = 16 [ANSWER]

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State the H0 and H1 and test at 5% level of significant

Ho: All the means in the 4 groups are equal.
Ha: At least 2 means in the 4 groups are different.

Here,

F = (SSB/df1) / (SSW/df2) = ((472-337)/3)/(337/12) = 1.602373887

As at 5%, df1 = 3, df2= 12,

Fcrit = 3.490294819

As F > Fcrit, we fail to reject Ho.

Thus, there is no significant evidence that at least 2 means are not equal. [CONCLUSION]