Part of an ANOVA table is shown below. Source of VariationSum ofSquaresDegrees ofFreedomMeanSquare FBetween Treatments180 3 Within Treatments (Error) Total48018 If at a 5% level of significance, we want to determine whether or not the means of the populations are equal, the critical value of F isGroup of answer choices5.863.292.5319.48
Question
Part of an ANOVA table is shown below. Source of VariationSum ofSquaresDegrees ofFreedomMeanSquare FBetween Treatments180 3 Within Treatments (Error) Total48018 If at a 5% level of significance, we want to determine whether or not the means of the populations are equal, the critical value of F isGroup of answer choices5.863.292.5319.48
Solution
The question seems to be incomplete. However, I can guide you on how to find the critical value of F in an ANOVA table.
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First, you need to calculate the Mean Square for Between Treatments and Within Treatments. The Mean Square is calculated by dividing the Sum of Squares by the Degrees of Freedom. In this case, the Mean Square for Between Treatments is 180/3 = 60. The Mean Square for Within Treatments is not given.
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Next, you calculate the F statistic. The F statistic is the ratio of the Mean Square Between Treatments to the Mean Square Within Treatments. Without the Mean Square Within Treatments, we cannot calculate the F statistic.
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Once you have the F statistic, you can find the critical value of F from an F-distribution table. The degrees of freedom for the numerator (Between Treatments) and the denominator (Within Treatments) are used to find the critical value.
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If the calculated F statistic is greater than the critical value from the F-distribution table, you would reject the null hypothesis that the means of the populations are equal. If it is less, you would not reject the null hypothesis.
Without the complete information, it's not possible to determine the critical value of F.
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