Question

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.*

Answer #1

Solution :

Given that ,

mean = = 18.6

standard deviation = = 6

n = 49

= 18.6

= / n = 6 / 49=0.857

P( < 18) = P[( - ) / < (18-18.6) /0.857 ]

= P(z < -0.70)

Using z table

= 0.2420

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...

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...

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.

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)

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...

(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...

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?

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 .

Suppose that the first scores for a particular college entrance
exam are distributed according to a bell-shaped, symmetric
distribution with a mean of 450 and variance of 10,000.
a) what percent of the students who take the exam score between
350 and 650?
b) any student who scores higher 550 is automatically admitted
to the colleges. what percent of the students who take the exam are
automatically admitted to the college?
c) what percent of the students who take the...

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

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 20 minutes ago

asked 28 minutes ago

asked 28 minutes ago

asked 31 minutes ago

asked 43 minutes ago

asked 47 minutes ago

asked 49 minutes ago

asked 49 minutes ago

asked 49 minutes ago

asked 57 minutes ago

asked 1 hour ago