let\'s say that a researcher conducts a study with 3 groups s aplia.com/af/servl

Question

let's say that a researcher conducts a study with 3 groups s aplia.com/af/servlet/quiz?quiz action takeQuiz&quiz; probGuid ONAPCOA8010100000036c7fa50090000&ctx; thomas myers1-00038 6. The distribution of the F-ratios Aa Aa Let's say that a researcher conducts a study with 3 groups, each with 6 participants. Fill in the degrees of freedom in the following ANOVA table. Source df MS F Between Within 6.95 Total 34,43 4.95 use the following Distributions tool to find the boundary for the critical region at a .05 and a .01. To use the tool to find the critical F value, set both the numerator and the denominator degrees or freedom: this mw show you the appropriate F distribution. Move the orange line until the area in the tal s equivalent to the apha leve you are investigating. umerator Degrees of Freedom 26 4242017

Explanation / Answer

For the Given ANOVA table we have to calculate Fcritical

Where Degree of freedom in numerator = 3 -1 = 2

Degree of freedom in denominator = 5 * 3 = 15

so Fcritical = F0.05, 2, 15 = 3.682 [ option D is the answer]

Now at alpha = 0.01 what is Fcritical = F0.01, 2,15 = 6.359 [ OPtion A is the answer]

Now we have to check at alpha = 0.01 about validiity of null hypothesis

F- value = 4.95 here from the given table

so F < Fcritical for alpha = 0.01 significane level

so we can not reject the null hypothesis . Option A is correct.

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