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

question 46

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.
-A time for the 100 meter sprint of 20.0 seconds at a school where the mean time for the 100 meter sprint is 17.7 seconds and the standard deviation is 2.1 seconds.

• A)2.3; unusual
• B)1.1; not unusual
• C)1.1; unusual
• D)-1.1; not unusual

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Definitions:

Random Variation

Natural fluctuations in the data occurring due to chance variations, which are inherent in any process or measurement.

Error Term

Represents the component of an observed variable that is not explained by the model used to estimate the variable, capturing the random variability in the data.

Time Trend

A pattern or direction in data that shows movement over a period of time.

Indicator Variable

A variable used in statistical models that takes on the value of 0 or 1 to indicate the absence or presence of some categorical effect or feature.