The Mathematics Part of the SAT Scores of Students at UTC

question 30

Short Answer

The Mathematics part of the SAT scores of students at UTC are normally distributed with a mean of 500 and a standard deviation of 75.
a.If 2.28 percent of the students who had the highest scores received scholarships, what was the minimum score among those who received scholarships? Do not round your answer.
b.It is known that 6.3 percent of students who applied to UTC were not accepted. What is the highest score of those who were denied acceptance? Do not round your answer.
c.What percentage of students had scores between 575 and 650?

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Definitions:

Extrapolation

The process of estimating, beyond the original observation range, the value of a variable based on its known values.

Indexation

The adjustment of wages, benefits, or other financial variables to match the rate of inflation, ensuring purchasing power is maintained over time.

Short-Run Forecasting

The process of predicting the immediate or near-future performance, trends, or demands using current and historical data.

Nominal Group Technique

A focused group discussion where members meet face-to-face or digitally, write down their ideas, and share them. All new thoughts on a topic are recorded and ranked for importance.