Let X Represent the SAT Total Score of an Entering

question 54

Multiple Choice

Let X represent the SAT total score of an entering freshman at University X.The random variable X is known to have a N(1200,90) distribution.Let Y represent the SAT total score of an entering freshman at University Y.The random variable Y is known to have a N(1215,110) distribution.A random sample of 100 freshmen is obtained from each university.Let = the sample mean of the 100 scores from University X,and = the sample mean of the 100 scores from University Y.What is the probability that will be less than 1190?

• A)0.0116
• B)0.1335
• C)0.4090
• D)0.4562

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Definitions:

Upward Sloping

A term often used in economics to describe a curve or line that increases in height as it moves from left to right, indicative of a positive relationship between two variables.

Compact Disc

A physical medium for the storage and playback of digital audio and data, utilizing laser technology for reading and writing information.

Average Costs

Calculated by dividing the total cost of production by the quantity of output produced, indicating the cost per unit of output.

Output Increases

A rise in the quantity of goods or services produced by a firm or economy.