Let X Represent the SAT Total Score of an Entering

question 52

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 distribution of the difference in sample means between University X and University Y: - ?

• A)N(-15,-20)
• B)N(-15,14.2)
• C)N(-15,142.1)
• D)N(-15,200)

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Definitions:

Onset

The beginning or start of something, such as a disease, symptom, or process.

Cognitive Symptom

Symptoms related to mental processes such as memory, attention, and problem-solving, often indicative of neurological or psychiatric conditions.

Unipolar Depression

A major depressive disorder characterized by a persistent feeling of sadness or a lack of interest in outside stimuli, without the mood swings seen in bipolar disorder.

Major Depressive Episode

A period characterized by severe symptoms of depression, including deep sadness, lack of interest in activities, changes in weight or sleep, and feelings of worthlessness.