(a) The distribution of BMI from each survey is somewhat right-skewed. Is the No
ID: 3226155 • Letter: #
Question
(a) The distribution of BMI from each survey is somewhat right-skewed. Is the Normally condition met for an ANOVA on this data? Why? Yes, because the data was randomly gathered. Yes, because the ANOVA procedures are robust to skewness for sample sizes over 30 and there are no extreme others No, because skewness violates the Normally condition even when the sample sizes are over 30. (b) What is the sample standard deviations for each survey? the NHES II study? (Use 3 decimal places) the NHANES II study? (Use 3 decimal places) the NHANES study? (Use 3 decimal places) (c) 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 deviations 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.Explanation / Answer
Solution : a ) Yes , because the anova procedure are robust to skewness for sample sizes over 30, and there are no extreme outliers.
b) Sample standaed deviation for each sample survey
NHES II study = 2.486
NHANES II study = 2.408
NHANES study = 5.851
c) No, because the largest standard deviation is more than twice the smallest standard deviation.
Assumptions for the anova for sample standard deviations
The sample standard deviations should not be more than twice as large as the smallest of the sample standard
deviations. if the largest sample standard deviation divided by the smallest sample standard deviation is not greater
than two, then assume that the population variances are equal.
Then satisfy the guidlines for the use of anova.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.