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The mean score for a standardized test is 1700 points. The results are normally distributed with...

Question:

The mean score for a standardized test is 1700 points. The results are normally distributed with a standard deviation of 75 points.

What is the probability that a student will score more than 1700 points?

{eq}Z{/eq}-score:

The {eq}z{/eq}-score describes the position of the observed value from the mean. It can be determined by the ratio of the difference between the observed value and mean value over the standard deviation of the sample.

Answer and Explanation: 1

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Given:

  • Mean score, {eq}\mu = 1700 {/eq}
  • Standard deviation, {eq}\sigma = 75 {/eq}

{eq}\\ {/eq}

We know that the {eq}z{/eq}-score is given by...

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Z Score | Definition, Equation & Example

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Chapter 6 / Lesson 6
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Learn what a Z-score is, how to find a Z-score, and review examples of Z-score applications.


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