Find the Z-Score Corresponding to the Given Value and Use $57.8$

question 5

Multiple Choice

Find the z-score corresponding to the given value and use the z-score to determine whether the value is unusual.
Consider a score to be unusual if its z-score is less than -2.00 or greater than 2.00. Round the z-score to the nearest tenth
if necessary.
-Which score has a higher relative position, a score of $57.8$ on a test for which $\bar { x } = 38$ and s $= 9$ , or a score of 350 on a test for which $\bar { x } = 273$ and s $= 35$ ?

• A) A score of 350
• B) A score of \(57.8\)
• C) Both scores have the same relative position.

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Definitions:

Industrial Lathe Sales

The commercial activity of buying and selling industrial lathes, which are machines used for shaping metal, wood, or other materials by holding and turning them while applying a cutting tool.

Exponential Smoothing Model

An approach to predict future values in a univariate data set by assigning diminishing exponential weights to older data points.

Root Mean Square Error

A measure of the differences between values predicted by a model or an estimator and the values observed, serving as a standard way to measure the error of a model.

Smoothing Constant

A parameter used in exponential smoothing methods to control the weight of past observations in forecasting.