Question

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 mean and standard deviation of the

sample mean score x of these 16 students?

(c) What is the approximate probability that the mean

score x of these 16 students is 27 or higher?

(d) Which of your two Normal probability calculations

in parts (a) and (c) is more accurate? Why?

Answer #1

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?

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...

According to the U.S. Department of Education, 1,026,000
high school seniors (rounded to the nearest thousand) took the ACT
test as part of the college admissions process. The mean composite
score was 21.1 with a standard deviation of 4.8. The ACT composite
score ranges from 1 to 36, with higher scores indicating greater
achievement in high school.
An admissions officer wants to find what percentage of samples
of 50 students will have a mean ACT score less than 19.6. What...

The
scores for all high school seniors taking the verbal section of the
school list at the tutors in a particular year had a mean of 490
and a standard deviation of 100. The distribution of SAT scores is
bell shaped.
a)what percentage of seniors score between 390 and 590 on the
SAT test?
b) One student score 795 on the test. How did the student do
compared to the rest of the scores?
c) A rather exclusive university only...

QUESTION 1:
An SRS of 450 high school seniors gained an average of x¯¯¯x¯ =
21 points in their second attempt at the SAT Mathematics exam.
Assume that the change in score has a Normal distribution with
standard deviation 53.
Find a 90% confidence interval for μμ based on this sample.
Confidence interval (±±0.01) is between and
What is the margin of error (±±0.01) for 90%?
Suppose we had an SRS of just 100 high school seniors. What
would be the...

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)

Test C is a standardized test that all high school seniors take.
In an SRS of 28 seniors, the sample standard deviation is 16. A
high school counselor hypothesizes that the mean score on Test C
for all high school seniors is 59.
Here are the null and alternative hypotheses: H0 : µ = 59 H1 : µ
not equal to 59
(a) How far (in points) above/below 59 would the sample mean
have to be to reject the null...

Scholastic Aptitude Test (SAT) mathematics scores of a random
sample of 500 high school seniors in the state of Texas are
collected, and the sample mean and standard deviation are found to
be 501 and 112, respectively. Find a 99% confidence interval on the
mean SAT mathematics score for seniors in the state of Texas.

A random sample of high school seniors took a literacy test
before graduation. A comparison of scores for the test showed that
women scored significantly higher on average (p-value = 0.017) than
men on the literacy test. What does the p-value in this statement
tell us?
If there were actually no difference in the mean literacy scores
for all men and women at the high school, the probability of
observing a difference between the two group means as large or...

The mean quantitative score on a standardized test for female
college-bound high school seniors was
550
The scores are approximately Normally distributed with a
population standard deviation of
50
A scholarship committee wants to give awards to college-bound
women who score at the
96TH
percentile or above on the test. What score does an applicant
need? Complete parts (a) through (g) below.The mean quantitative
score on a standardized test for female college-bound high school
seniors was
550
The scores are...

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