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

Question

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

Quizplus · Accepted Answer

The Answer of 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

Let X Represent the SAT Total Score of an Entering