The correct answer is "Because all sample groups are drawn from the same population".

Here's why:

The null hypothesis in a one-way ANOVA (Analysis of Variance) states that there is no significant difference among the groups being compared. In other words, it assumes that all sample groups are drawn from the same population, and therefore, the means of these groups are equal.

SSbetween (Sum of Squares Between) measures the variance between the group means and the overall mean, while SSwithin (Sum of Squares Within) measures the variance within each group.

If the null hypothesis is true and all groups are drawn from the same population (i.e., the group means are equal), then the ratio of SSbetween to SSwithin should be 1. This is because the variance between the group means (SSbetween) would be equal to the variance within each group (SSwithin).

The other options are not correct because they do not accurately describe the relationship between the null hypothesis and the ratio of SSbetween to SSwithin in a one-way ANOVA.

Question

The correct answer is "Because all sample groups are drawn from the same population".

Here's why:

The null hypothesis in a one-way ANOVA (Analysis of Variance) states that there is no significant difference among the groups being compared. In other words, it assumes that all sample groups are drawn from the same population, and therefore, the means of these groups are equal.

SSbetween (Sum of Squares Between) measures the variance between the group means and the overall mean, while SSwithin (Sum of Squares Within) measures the variance within each group.

If the null hypothesis is true and all groups are drawn from the same population (i.e., the group means are equal), then the ratio of SSbetween to SSwithin should be 1. This is because the variance between the group means (SSbetween) would be equal to the variance within each group (SSwithin).

The other options are not correct because they do not accurately describe the relationship between the null hypothesis and the ratio of SSbetween to SSwithin in a one-way ANOVA.

Knowee AI · Accepted Answer

The correct answer is "Because all sample groups are drawn from the same population".

Here's why:

The null hypothesis in a one-way ANOVA (Analysis of Variance) states that there is no significant difference among the groups being compared. In other words, it assumes that all sample groups are drawn from the same population, and therefore, the means of these groups are equal.

SSbetween (Sum of Squares Between) measures the variance between the group means and the overall mean, while SSwithin (Sum of Squares Within) measures the variance within each group.

If the null hypothesis is true and all groups are drawn from the same population (i.e., the group means are equal), then the ratio of SSbetween to SSwithin should be 1. This is because the variance between the group means (SSbetween) would be equal to the variance within each group (SSwithin).

The other options are not correct because they do not accurately describe the relationship between the null hypothesis and the ratio of SSbetween to SSwithin in a one-way ANOVA.

According to the null hypothesis, in a one-way ANOVA the ratio of SSbetween to SSwithin should be 1. Why? Because power is equal to 1 – beta As a result of the Central Limit Theorem Because power is inversely related to SSbetween Because all sample groups are drawn from the same population

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