Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate the mean score ?μ of those who took the MCAT on your campus, you will obtain the scores of an SRS of students. The scores follow a Normal distribution, and from published information, you know that the standard deviation of scores for all MCAT takers is 10.4.Suppose that (unknown to you) the mean score of those taking the MCAT on your campus is 510.
If you choose one student at random, what is the probability that the student's score is between 505 and 515?
Use Table A or software to calculate your answer. Give your answer to four decimal places.
probability:
You sample 25 students. What is the mean of the sampling distribution of their average score x¯?
Give your answer as a whole number.
What is the standard deviation of the sampling distribution of their average score x¯?
Give your answer to two decimal places.
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 4 images