Two Graphical Displays Are Given for a Set of Data $\begin{array} { r | r } 5 & 79 \\ 6 & 14 \\ 7 & 26 \\ 8 & 06 \\ 9 & 35 \\ 10 & 02 \end{array}$

question 40

Essay

Two graphical displays are given for a set of data. A hypothesis test is to be performed for the mean of the populationfrom which the data were obtained. Would it be reasonable to use a one-mean z-test? Explain your reasoning. Assumethat the population standard deviation is known.
-A normal probability plot and a stem-and-leaf diagram of the data are given below. $\begin{array} { r | r } 5 & 79 \\ 6 & 14 \\ 7 & 26 \\ 8 & 06 \\ 9 & 35 \\ 10 & 02 \end{array}$

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Definitions:

Manipulative

Describes behavior that is skilful in controlling or influencing others to one's own advantage, often with deceitful or dishonest intentions.

Insincere

Describes a lack of genuineness or honesty in expression or action; not expressing genuine feelings.

Self-Monitoring

A psychological theory that pertains to how individuals regulate their behavior to accommodate social situations, varying from being highly adaptable to being consistent across contexts.

Life Satisfaction

The degree to which an individual positively evaluates the overall quality of their life as a whole.