You Are Performing a Study About the Weight of Preschoolers

question 14

Essay

You are performing a study about the weight of preschoolers. A previous study found the weights to benormally distributed with a mean of 30 and a standard deviation of 4. You randomly sample 30 preschoolchildren and find their weights to be as follows. $$\begin{array} { l l l l l l l l l l } 25 & 25 & 26 & 26.5 & 27 & 27 & 27.5 & 28 & 28 & 28.5 \\29 & 29 & 30 & 30 & 30.5 & 31 & 31 & 32 & 32.5 & 32.5 \\33 & 33 & 34 & 34.5 & 35 & 35 & 37 & 37 & 38 & 38\end{array}$$ a) Draw a histogram to display the data. Is it reasonable to assume that the weights are normallydistributed? Why?b) Find the mean and standard deviation of your sample.c) Is there a high probability that the mean and standard deviation of your sample are consistentwith those found in previous studies? Explain your reasoning.

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