he Medical College Admission Test (MCAT) has scores that are normally distributed with a mean of 25 and a standard deviation of 6.5.  In a random sample of 25 students, what is the probability that their mean score is between 22 and 28?  Are the assumptions of the Central Limit Theorem satisfied?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
icon
Related questions
Question

3) The Medical College Admission Test (MCAT) has scores that are normally distributed with a mean of 25 and a standard deviation of 6.5.  In a random sample of 25 students, what is the probability that their mean score is between 22 and 28?  Are the assumptions of the Central Limit Theorem satisfied?

 

Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,