You Are Performing a Study About the Weight of Preschoolers

question 125

Essay

You are performing a study about the weight of preschoolers. A previous study found the
weights to be normally distributed with a mean of 30 pounds and a standard deviation of
4 pounds. You randomly sample 30 preschool children and find their weights (in pounds)
to be as follows. $$\begin{array} { l l l l l l l l l l } 25 & 25 & 26 & 26.5 & 27 & 27 & 27.5 & 28 & 28 & 28.5 \\29 & 29 & 30 & 30 & 30.5 & 31 & 31 & 32 & 32.5 & 32.5 \\33 & 33 & 34 & 34.5 & 35 & 35 & 37 & 37 & 38 & 38\end{array}$$ Draw a histogram to display the data. Is it reasonable to assume that the weights are
normally distributed? Why?

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