### Standardized Test Scores AnalysisA standardized exam's scores are normally distributed. In a recent year, the mean test score was 1490, and the standard deviation was 313. The test scores of four students selected at random are 1870, 1240, 2170, and 1380. Find the z-scores that correspond to each value and determine whether any of the values are unusual.#### Z-Score Calculations:1. **The z-score for 1870 is [ ].** *(Round to two decimal places as needed.)*2. **The z-score for 1240 is [ ].** *(Round to two decimal places as needed.)*3. **The z-score for 2170 is [ ].** *(Round to two decimal places as needed.)*4. **The z-score for 1380 is [ ].** *(Round to two decimal places as needed.)*#### Determine Unusual ValuesWhich values, if any, are unusual? Select the correct choice below and, if necessary, fill in the answer box within your choice.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the test was 494 and the standard deviation was 72. If the board wants to set the passing score so that only the best 10% of all applicants pass, what is the passing score? Assume that the scores are normally distributed. Round to the nearest whole number.
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