Examine the Given Data Set and Determine Whether the Requirement

question 33

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 data below represents the amount of television watched per week (in hours) for 40 randomly selected teenagers.
$$\begin{array} { r r r r r r r r r r } 13 & 4 & 17 & 14 & 9 & 6 & 7 & 5 & 14 & 12 \\20 & 16 & 0 & 15 & 10 & 6 & 5 & 3 & 13 & 14 \\15 & 5 & 3 & 5 & 8 & 11 & 12 & 13 & 14 & 7 \\4 & 6 & 9 & 13 & 3 & 14 & 24 & 15 & 17 & 20\end{array}$$

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Definitions:

Individualistic Culture

A culture in which the emphasis is on individual initiative, achievement, and creativity over maintenance of social cohesion.

Social Role

A set of expectations, norms, and behaviors that a society attaches to a particular status or position within a social structure.

Equality Matching

A principle of social justice and fairness where resources or efforts are shared equally among members of a group.

Legal Institutions

Structures and mechanisms of social order and cooperation governing the behavior of a set of individuals within a given human community, focusing on laws and regulations.