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If \(\text{MS}_{\text{within}}\) = 4.00 and \(F = 2.00\), then \(\text{MS}_{\text{between}}\) must be:

A. 8.00
B. 4.00
C. 2.00
D. 1.00
E. Cannot be determined without additional information.

Answer :

If MS within = 4.00 and F = 2.00, then MS between must be 8.00.

The value of MS between is calculated based on the ratio of the variability between groups to the variability within groups. In this case, the MS within is 4.00, which represents the variability within each group. The F value is 2.00, which is the ratio of the MS between to the MS within.

To find the MS between, we can rearrange the formula as follows:

MS between = F * MS within

Substituting the given values, we have:

MS between = 2.00 * 4.00 = 8.00

Therefore, the value of MS between is 8.00.

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