Question

Do the standard deviations satisfy the guidelines for the use of ANOVA? No, because the largest standard deviation is less than twice the smallest standard deviation. No, because the largest standard deviation is more than twice the smallest standard deviation. Yes, because the largest standard deviation is less than twice the smallest standard deviation. Yes, because the largest standard deviation is more than twice the smallest standard deviation.

Answer 1

No, because the largest standard deviation is more than twice the smallest standard deviation.

Explanation:

Okay, so the standard deviation for each of the sample is given as;

NHES II study = 2.486, NHANES II study = 2.408 and NHANES study = 5.851.

In order to determine whether the standard deviations satisfy the guidelines for the use of ANOVA, one of the conditions for anova for sample standard deviations must be considered that is;

'' the value of the sample standard deviations should not be times two of the smallest standard deviation."

In which if we have; highest sample standard deviations / smallest standard deviation < 2, Then, population variance is equal.