Explain why the f-ratio is expected to be near 100 when the


1. Explain why the F-ratio is expected to be near 1.00 when the null hypothesis is true.

2. Several factors influence the size of the F-ratio. For each of the following, indicate whether it influences the numerator or the denominator of the F-ratio, and indicate whether the size of the F-ratio would increase or decrease. In each case, assume that all other factors are held constant.

a. An increase in the differences between the sample means.

b. An increase in the size of the sample variances.

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Basic Statistics: Explain why the f-ratio is expected to be near 100 when the
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