A one-way ANOVA is used to evaluate the mean differences in BMI (i.e., body mass

Question

A one-way ANOVA is used to evaluate the mean differences in BMI (i.e., body mass index) between three groups of adults - young adults, middle age adults and elderly. Each age group had n = 15 participants. If the data produced an F-ratio of F = 3.18, which of the following is the correct conclusion from this study (assume p <. 05)?

A. Reject the null hypothesis and conclude that there were significant differences in mean BMI. B. Fail to reject the null hypothesis and conclude that there are no significant differences in mean BMI. C. Fail to reject the null hypothesis and conclude that there are significant differences in mean BMI. D. Reject the null hypothesis and conclude that there are no significant differences in mean BMI.

Explanation / Answer

so we are given that f ratio is 3.18

and df of numerator = n-1 , where n is number of groups = 3-1 = 2

and df of denominator = k-1 for the 3 groups , which is 15-3 = 12

so reading the f table or technology to get the p value as 0.077 , now as the p value is not less than our alpha of 0.05 , hence we fail to reject the null hypothesis and conclude that there are no significant differences in mean BMI.

so B

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