Graph a Normal Curve
-You Are Performing a Study About

question 115

Short Answer

Graph a Normal Curve
-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 and a standard deviation of 4. You randomly sample 30 preschool children 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 normally distributed 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 consistent with those found in previous studies Explain your reasoning.

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Definitions:

Square Yards

A unit of area measurement equal to a square measuring one yard on each side, used in both the U.S. customary and British imperial systems.

Herb Garden

A dedicated garden space for growing herbs, often used for culinary, medicinal, or aromatic purposes.

Square Feet

A unit of area measurement equivalent to a square measuring one foot on each side.

Mixed Numbers

Numbers consisting of an integer and a fraction together, representing a value greater than or equal to one.