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:

Direct Labor

The wages paid to workers directly involved in the production of goods or services.

Overhead

The ongoing operational costs not directly attributable to the creation of a product or service.

General Journal

A comprehensive journal used in bookkeeping to record all types of accounting transactions before their transfer to specific accounts in the ledger.

Predetermined Rate

A rate established before the start of a period for the purpose of applying overhead costs to products or services, based on estimated costs.