Question

6. Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). The scores follow a normal distribution. From published information the standard deviation is 6.4. On a particular campus, the mean score of those taking the MCAT is 25.0.

a. If a student is chosen at random, what is the probability the individual’s score is between 20 and 30?

b. In a sample of 25 students, what is the sampling distribution
of the average score, ??̅?

c. What is the probability that the average score of 25 students is
between 20 and 30?

d. How large of sample is needed to reduce the standard deviation
of the sample mean to just 1?

Answer #1

Almost all medical schools in the United States require students
to take the Medical College Admission Test (MCAT). To estimate the
mean score ? 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 is 6.6 . Suppose that (unknown to you) the mean
score of those taking the MCAT on your campus is 25...

Almost all medical schools in the United States require students
to take the Medical College Admission Test (MCAT). To estimate the
mean score ? 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 is 6.5 . Suppose that (unknown to you) the mean
score of those taking the MCAT on your campus is 24...

Almost all medical schools in the United States require students
to take the Medical College Admission Test (MCAT). To estimate the
mean score ? 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 is 10.4 . Suppose that, unknown to you, the mean
score of those taking the MCAT on your campus is 510...

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 is 10.4. Suppose that, unknown to you, the mean
score of those taking the MCAT on your campus is 510.
In...

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 is 10.8 . Suppose that, unknown to you, the mean
score of those taking the MCAT on your campus is 510...

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 is 10.8 . Suppose that, unknown to you, the mean
score of those taking the MCAT on your campus is 500....

11.
(15.28) Almost all medical schools in the United States require
students to take the Medical College Admission Test (MCAT). To
estimate the mean score μμ 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 is 6.2. Suppose that (unknown
to you) the mean score of those taking the MCAT on your campus is...

(3.12) Almost all medical schools in the United States require
students to take the Medical College Admission Test (MCAT). The
exam is composed of three multiple-choice sections (Physical
Sciences, Verbal Reasoning, and Biological Sciences). The score on
each section is converted to a 15-point scale so that your total
score has a maximum value of 45. The total scores follow a Normal
distribution, and suppose that in a certain year the mean was 25.3
with a standard deviation of 6.5....

Almost all medical schools in the United States require students
to take the Medical College Admission Test (MCAT). The exam is
composed of three multiple-choice sections (Physical Sciences,
Verbal Reasoning, and Biological Sciences). The score on each
section is converted to a 15-point scale so that the total score
has a maximum value of 45. The total scores follow a Normal
distribution, and in a certain year the mean was 25.3 with a
standard deviation of 7.1. There is little...

Almost all medical schools in the United States require
applicants to take the Medical College Admission Test (MCAT). On
one exam, the scores of all applicants on the biological sciences
part of the MCAT were approximately Normal with mean 9.7 and
standard deviation 2.1. For applicants who actually entered medical
school, the mean score was 10.2 and the standard deviation was
1.4.
What percent of those who entered medical school had scores
between 9 and 11?

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