Standardized observations are always positive. TRUE FALSE The terms proportion, probability, and area are used interchangeably when working with density curves such as the standard normal curve. TRUE FALSE The mean for the distribution of a z-score is always zero. TRUE FALSE

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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***For any true/false if the statement is false explain why.

  1. Standardized observations are always positive. TRUE FALSE

  2. The terms proportion, probability, and area are used interchangeably when working with density curves such as the standard normal curve. TRUE FALSE

  3. The mean for the distribution of a z-score is always zero. TRUE FALSE

1. Standardized observations are always positive. TRUE FALSE
2. The terms proportion, probability, and area are used interchangeably when working with density
curves such as the standard normal curve. TRUE FALSE
3. The mean for the distribution of a z-score is always zero. TRUE FALSE
Transcribed Image Text:1. Standardized observations are always positive. TRUE FALSE 2. The terms proportion, probability, and area are used interchangeably when working with density curves such as the standard normal curve. TRUE FALSE 3. The mean for the distribution of a z-score is always zero. TRUE FALSE
Expert Solution
Step 1

1) Standardized observations are always positive. 

False

Standardized value/observation is also called a z-score. It is a measures which tells how many standard deviations away, a data value is, from the mean. It is given by the formula:

z=X-μσ

where, X : Raw score 

           μ : Mean

           σ : Standard deviation.

Raw scores are standardized using the above formula and the value we obtain is called a standardized score or observation. It also takes negative values.

For example, a negative standardized value (-2) means that the score is two standard deviation below the mean.

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