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

question 8

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:

Atomic Components

Basic, indivisible components or elements of a system or structure.

Disjunction

A logical operation that yields a true statement if at least one of its component statements is true.

Tautological Disjunct

A component of a logical statement that repeats the same information in different words, making it unconditionally true.

Tautology

A statement in logic that is true in every possible interpretation or a redundant statement that does not add new information.