Question

The scores of individual students on the American College Testing (ACT) composite college entrance examination have a normal distribution with mean 19.2 and standard deviation 6.8. (a) What is the probability that a single student randomly chosen from all those taking the test scores 24 or higher? 0.2389 Correct: Your answer is correct. (b) Now take an SRS of 69 students who took the test. What are the mean and standard deviation of the average (sample mean) score for the 69 students? μ = 19.2 Correct: Your answer is correct. σ = Do your results depend on the fact that individual scores have a normal distribution? yes no Correct: Your answer is correct. (c) What is the probability that the mean score x of these students is 20.75 or higher?

Answer #1

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Do your results depend on the fact that individual scores have a normal distribution?

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The scores of individual students on the American College
Testing (ACT) program composite college entrance examination have a
normal distribution with mean 18.6 and standard deviation 6.0.
Forty-nine randomly selected seniors take the ACT test. What is the
probability that their mean score is less than 18? Round your
answer to 4 decimal places.

The scores of students on the ACT college entrance examination
in a recent year had a normal distribution with mean 24 and
standard deviation 4. What ACT score should a student have in order
to be in the top 5% of test takers? (use 3 decimals)

Problem 7: The scores of students on the ACT
(American College Testing)
college entrance examination in a recent year had the normal
distribution with mean μ = 18
and standard deviation σ = 6. 100 students are randomly selected
from all who took the test.
a. What is the probability that the mean score for the
100 students is between 17
and 19 (including 17 and 19)?
b. A student is eligible for an honor program if his/her
score is...

The scores of students on the SAT college entrance examinations
at a certain high school had a normal distribution with mean
?=531.7 and standard deviation ?=25.5
consider a simple random sample (SRS) of 30 students who took
the test.
The standard deviation of the sampling distribution for ?¯
is?
What is the probability that the mean score ?¯ of these students
is 536 or higher?

(1 point) The scores of a college entrance examination had a
normal distribution with mean μ=550.6μ=550.6 and standard deviation
σ=25.6σ=25.6.
(a) What is the probability that a single student randomly
chosen from all those who took the test had a score of 555 or
higher?
ANSWER:
For parts (b) through (d), consider a simple random sample of 35
students who took the test.
(b) The mean of the sampling distribution of x¯x¯ is:
The standard deviation of the sampling distribution...

6.18 ACT scores of high school seniors. The
scores
of your state’s high school seniors on the ACT
college entrance examination in a recent year had
mean m 5 22.3 and standard deviation s 5 6.2. The
distribution of scores is only roughly Normal.
(a) What is the approximate probability that a single
student randomly chosen from all those taking the test
scores 27 or higher?(b) Now consider an SRS of 16 students who took
the
test. What are the...

A sample of 16 students took the American College Testing (ACT)
Program composite college entrance exam and were found to have a
mean of 18 and a sample SD equal to 6. (A) What is the value of the
estimated standard error of the mean (SEM)? (B) Provide an
interpretation of the value obtained in part A. (C) Describe how
the researcher might reduce the size of the SEM if the study is
repeated.

scores on a college entrance test are normally
distributed with a mean 300 and a standard deviation of 50
if a test score is picked at random what is the probability that
the score is less than 215 or more than 345
b) find two test scores that divide the normal curve
into a middle of 0.92 and two 0.04 areas

3000 students take a college entrance exam. The scores on the
exam have an approximately normal distribution with mean mu
equals53 points and standard deviation sigma equals10 points. Use
the? 68-95-99.7 rule to complete the following. a. Estimate the
percentage of students scoring 53 points or less . b. Estimate the
percentage of students scoring 73 points or more .

The graph illustrates the distribution of test scores taken by
College Algebra students. The maximum possible score on the test
was 110, while the mean score was 76 and the standard deviation was
7. 55 62 69 76 83 90 97 Distribution of Test Scores What is the
approximate percentage of students who scored lower than 55 on the
test? % What is the approximate percentage of students who scored
between 62 and 90 on the test? % What is...

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