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.

---

Definitions:

Analyzing Ideas

The process of examining concepts or proposals in detail to understand their structure and evaluate their merit.

Mediator

A neutral individual who facilitates negotiation and agreement between disputing parties without providing legal judgment.

Critical Thinking Skill

The ability to analyze facts, generate and organize ideas, defend opinions, make comparisons, draw inferences, evaluate arguments, and solve problems.

Inductive Reasoning

A method of reasoning in which the premises are viewed as supplying some evidence, but not full assurance, of the truth of the conclusion.