Question 9 (1 point) D An analysis of variance is used to evaluate the mean diff

Question

Question 9 (1 point) D An analysis of variance is used to evaluate the mean differences for a research study comparing four treatments with a separate 4.60, which of the following is the correct statistical decision? sample of n = 8 in each treatment. If the data produce an F-ratio of F Reject the null hypothesis with á .05 but not with á = .01 Reject the null hypothesis with either á .05 or á = .01 Fail to reject the null hypothesis with either á = .05 or á = .01 There is not enough information to make a statistical decision ed Save

Explanation / Answer

Since the F value here we have received is 4.6 and there are 4 treatments with seperate sample of n=8 each the degrees of freedom of residuals (denominator)will be 4n-4 = 4*8-4 = 28 and

degrees of freedom of numerator = 4-1 =3

So., F= 4.6 & df (num) = 3 & df (denom) = 28

So looking at the F table for F value = 4.6 at df of num = 3 and df of den = 28 we getp value =0.009702872

( i have used r to find the same. If you use r use this code > 1-pf(4.6,3,28) or else you can check for F table as well) you get the ans as 0.009702872 only

And so we can say that p value is less than 0.05 as well as less than 0.01 and so we can reject the null hypothesis at alpha of 0.05 as well as 0.01

So the correct ans is option b) to reject Ho by either 0.05 or 0.01

Hope the above response has helped you in understanding the problem. Pls upvote if it has really helped you. Good Luck!!

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