Question
In: Statistics and Probability
The scores of students on the SAT college entrance examinations at a certain high school had...
The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean ?=545.8μ=545.8 and standard deviation ?=28.4σ=28.4.
(a) What is the probability that a single student, randomly chosen from all those taking the test, would score 552 or higher?
For parts (b) through (d), consider a simple random sample (SRS) of 35 students who took the test.
(b) What are the mean and standard deviation of the sample mean score ?¯x¯, of 35 students?
Mean: Standard deviation:
(c) What z-score corresponds to the mean score ?¯x¯ of 552?
(d) What is the probability that the mean score ?¯x¯ of these students is 552 or higher?
(e) Suppose that you want to test whether the mean SAT score is higher for students who take an SAT prep course. You take a random sample of 35 students who have taken an SAT prep course, and find that the sample mean score is 552. What is the p-value for this study?
Solutions
orchestra answered 2 years agoRelated Solutions
The scores of students on the SAT college entrance examinations at a certain high school had...
The scores of students on the SAT college entrance examinations
at a certain high school had a normal distribution with mean μ=544
and standard deviation σ=29.1.
(a) What is the probability that a single student randomly
chosen from all those taking the test scores 548 or higher?
For parts (b) through (d), consider a simple random sample (SRS)
of 35 students who took the test.
(b) What are the mean and standard deviation of
the sample mean score x¯, of...
The scores of students on the SAT college entrance examinations at a certain high school had...
The scores of students on the SAT college entrance examinations
at a certain high school had a normal distribution with
mean and standard deviation .
(a) What is the probability that a single student randomly
chosen from all those taking the test scores 545 or higher?
ANSWER:
For parts (b) through (d), consider a simple random sample (SRS) of
30 students who took the test.
(b) What are the mean and standard deviation of the sample mean
score , of 30...
The scores of students on the SAT college entrance examinations at a certain high school had...
The scores of students on the SAT college entrance examinations
at a certain high school had a normal distribution with mean
μ=535.4 and standard deviation σ=28.
(a) What is the probability that a single student randomly
chosen from all those taking the test scores 542 or higher?
ANSWER:
For parts (b) through (d), consider a simple random sample (SRS) of
25 students who took the test.
(b) What are the mean and standard deviation of the sample mean
score x,...
The scores of students on the SAT college entrance examinations at a certain high school had...
The scores of students on the SAT college entrance examinations
at a certain high school had a normal distribution with mean
μ=531.5μ=531.5 and standard deviation σ=29.6σ=29.6.
(a) What is the probability that a single student randomly
chosen from all those taking the test scores 536 or higher?
ANSWER:
For parts (b) through (d), consider a random sample of 25 students
who took the test.
(b) What are the mean and standard deviation of the sample mean
score x¯x¯, of 25...
The scores of students on the SAT college entrance examinations at a certain high school had...
The scores of students on the SAT college entrance examinations
at a certain high school had a normal distribution with mean
μ=553.4μ=553.4 and standard deviation σ=29.3σ=29.3.
(a)What is the probability that a single student randomly chosen
from all those taking the test scores 560 or higher?
For parts (b) through (d), consider a simple random sample (SRS)
of 35 students who took the test.
(b)What are the mean and standard deviation of the sample mean
score x¯x¯, of 35 students?...
The scores of students on the SAT college entrance examinations at a certain high school had...
The scores of students on the SAT college entrance examinations
at a certain high school had a normal distribution with mean
μ=542.7 and standard deviation σ=29.8.
(a) What is the probability that a single student randomly
chosen from all those taking the test scores 546 or higher?
ANSWER:
For parts (b) through (d), consider a simple random sample (SRS) of
35 students who took the test.
(b) What are the mean and standard deviation of the sample mean
score x¯,...
The scores of students on the SAT college entrance examinations at a certain high school had...
The scores of students on the SAT college entrance examinations
at a certain high school had a normal distribution with mean
μ=548.8μ=548.8 and standard deviation σ=26.4σ=26.4.
(a) What is the probability that a single student randomly
chosen from all those taking the test scores 555 or higher?
ANSWER:
For parts (b) through (d), consider a simple random sample (SRS) of
35 students who took the test.
(b) What are the mean and standard deviation of the sample mean
score x¯x¯,...
The scores of high school seniors on the ACT college entrance examination in a recent year...
The scores of high school seniors on the ACT college entrance
examination in a recent year had mean μ = 20.8 and
standard deviation σ = 4.8. 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 21 or higher?
(Round your answer to four decimal places.)
(b) Now take an SRS of 25 students who took the test. What are the
mean...
The combined SAT scores for the students at a local high school are normally distributed with...
The combined SAT scores for the students at a local high school
are normally distributed with a mean of 1521 and a standard
deviation of 298. The local college includes a minimum score of
1044 in its admission requirements. What percentage of students
from this school earn scores that fail to satisfy the admission
requirement?
The combined SAT scores for the students at a local high school are normally distributed with...
The combined SAT scores for the students at a local high school
are normally distributed with a mean of 1488 and a standard
deviation of 292. The local college includes a minimum score of
2014 in its admission requirements. What percentage of students
from this school earn scores that fail to satisfy the admission
requirement? P(X < 2014) =________ % Enter your answer as a
percent accurate to 1 decimal place (do not enter the "%" sign).
Answers obtained using...
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