Asked by
Giovani Corona 025
on Oct 20, 2024Verified
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)
Sample Means
The average value of a set of samples from a population.
Freshmen
First-year students at a high school, college, or university.
- Attain familiarity with the central limit theorem and discern its impact on the distribution of sample means.
- Implement the principle of sampling distribution to approximate parameters of a population.
Verified Answer
JL
Learning Objectives
- Attain familiarity with the central limit theorem and discern its impact on the distribution of sample means.
- Implement the principle of sampling distribution to approximate parameters of a population.