News reports speak of an emerging crisis of childhood obesity in the united states. the national health and nutrition examination survey (nhanes) is a government survey run every several years recording a number of vital statistics on a random sample of americans. a body mass index (bmi) is computed for each individual in the sample based on the individual's height and weight. here are sample results for 8- year-old boys over the past 40 years. (sem is the standard error of the mean.) suppose we want to run an anova to see if there is a difference in mean bmi for the three surveys survey n t semnhes ii, 1965 618 16.3 0.1nhanes ii, 1980 145 16.5 0.2 nhanes, 2002 214 18.4 0.4 (a) the distribution of bmi from each survey is somewhat right-skewed. is the normality condition met for an anova on this data? why? o yes, because the data was randomly gathered. o yes, because the anova procedures are robust to skewness for sample sizes over 30 o no, because skewness violates the normality condition even when the sample sizes are over 30 (b) recall that the standard error of the mean (sem) is equal to s ivn, where s is the standard deviation. what is the standard deviation for the nhes il study? the nhanes il study? the nhanes study? (use 3 decimal places) (use 3 decimal places) (use 3 decimal places) (c) do the standard deviations satisfy the guidelines for the use of anova? o no, because the largest standard deviation is less than twice the smallest standard deviation o no, because the largest standard deviation is more than twice the smallest standard deviation o yes, because the largest standard deviation is less than twice the smallest standard deviation o yes, because the largest standard deviation is more than twice the smallest standard deviation