Yes, because the data was randomly gathered. Yes, because the ANOVA procedures a
ID: 3155668 • Letter: Y
Question
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 outliers.
No, because skewness violates the Normality 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 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.
Explanation / Answer
(a) Yes, because the ANOVA procedures are robust to skewness for sample sizes over 30 and there are no extreme outliers.
(b) What is the sample standard deviations for each survey?
2.486...the NHES II study? (Use 3 decimal places)
2.408...the NHANES II study? (Use 3 decimal places)
5.851...the NHANES study? (Use 3 decimal places)
(c) Out of above three standard deviations, the highest standard deviation is more than 2 times the lowest standard deviation. 5.851 > 2(2.408). Therefore, the correct option is "No, because the largest standard deviation is more than twice the smallest standard deviation. "
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