A researcher reports that the time (in minutes)it takes children who are "picky eaters" to finish their vegetables is negatively skewed,with children finishing their vegetables in 4.2±1.0 (M±SD)minutes.Based on Chebyshev's theorem,we can conclude that
A)68% of children finished their vegetables in 3.2 to 5.2 minutes.
B)50% of children finished their vegetables in at least 3.2 minutes.
C)99.7% of children finished their vegetables in 2.2 to 6.2 minutes.
D)At least 89% of children finished their vegetables in 1.2 to 7.2 minutes.

Question

Quizplus · Accepted Answer

Chebyshev's theorem states that at least (1 - 1/k^2) of data lies within k standard deviations from the mean for any distribution. For k=3, at least 89% of data lies within 3 standard deviations. Here, 4.2 ± 3(1.0) gives the range 1.2 to 7.2 minutes.

A Researcher Reports That the Time (In Minutes)it Takes Children