Identify the Correct Distribution (Z, T, or Neither)for Each of the Following

question 26

Essay

Identify the correct distribution (z, t, or neither)for each of the following. $$\begin{array} { | l | l | l | l | } \hline \text { Sample Size } & \text { Standard Deviation } & \begin{array} { l } \text { Shape of the } \\\text { Distribution }\end{array} & z \text { or } t \text { or neither } \\\hline n = 35 & s = 4.5 & \text { Somewhat skewed } & \\\hline n = 20 & s = 4.5 & \text { Bell shaped } & \\\hline n = 35 & \sigma = 4.5 & \text { Bell shaped } & \\\hline n = 20 & \sigma = 4.5 & \text { Extremely skewed } & \\\hline\end{array}$$

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Definitions:

Tree-Dwelling Frog

Amphibians that spend a significant portion of their lives in trees, exhibiting adaptations such as suction cup-like toe pads to aid in climbing.

Heritable Characteristic

A trait that can be passed from parents to their offspring through genes.

Quantifiable

Capable of being measured or expressed as a numerical value.

Adaptive Radiation

The evolutionary process where organisms rapidly diversify into a multitude of new forms, particularly when a change in the environment makes new resources available.