A Math Teacher Gives Two Different Tests to Measure Students

question 8

Short Answer

A math teacher gives two different tests to measure students' aptitude for math. Scores on the first test are normally distributed with a mean of 24 and a standard deviation of 4.5. Scores on the second test are normally distributed with a mean of 70 and a standard deviation of 11.3.
Assume that the two tests use different scales to measure the same aptitude. If a student scores 29 on the first test, what would be his equivalent score on the second test? (That is, find the score that would put him in the same percentile.)

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Definitions:

Net New Equity

The amount of money raised by a company through the issuance of new shares, minus any shares repurchased.

Equity Repurchases

The process by which a company buys back its own shares from the marketplace, reducing the amount of outstanding stock.

New Equity Sales

New equity sales refer to the process of issuing new shares of stock to investors in order to raise capital for the corporation.

Cash Flow From Assets

The total amount of cash generated by a company’s main business operations, available for debt servicing, dividend payments, and reinvestment in the firm.