Examine the Given Data Set and Determine Whether the Requirement

question 56

Essay

Examine the given data set and determine whether the requirement of a normal distribution is satisfied. Assume that the requirement for a normal distribution is loose in the sense that the population distribution need not be exactly normal, but it must have a distribution which is basically symmetric with only one mode. Explain why you do or do not think that the requirement is satisfied.
-The ages of 30 students selected randomly from one college are as follows: $$\begin{array} { l l l l l } 21 & 23 & 20 & 24 & 20 \\19 & 20 & 19 & 22 & 32 \\20 & 24 & 26 & 21 & 37 \\23 & 18 & 34 & 25 & 30 \\22 & 24 & 23 & 19 & 28 \\20 & 29 & 21 & 35 & 25 \\20 & 21 & 28 & 22 & 32\end{array}$$

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Definitions:

System Reliability

The probability that a system or component will perform its required functions without failure under stated conditions for a specified period of time.

Components in Series

A configuration where components are connected end-to-end in such a way that the failure of one component results in the failure of the entire system.

System Reliability

The probability that a system, including all individual components and processes, will perform its required functions without failure under stated conditions for a specified period of time.

Four-Component Product

A product that is made up of four distinct parts or elements, requiring a detailed product and process design.