Question
In: Statistics and Probability
To estimate the average SAT scores of students in a college, six students in the college...
To estimate the average SAT scores of students in a college, six students in the college are randomly selected and their SAT scores are as follows: 1350, 1450, 1320, 1480, 1300, 1400.
(a) (3 points) What is the population of interest?
(b) (3 points) What is the value of sample median?
(c) (6 points) What is the lower quartile Q1 and the upper quartile Q3 ?
(d) (3 points) What is the value of sample mean?
(e) (5 points) What is the value of sample standard deviation?
Solutions
orchestra answered 2 years agoRelated Solutions
SAT scores of students at an Ivy League college are distributed with a standard deviation of...
SAT scores of students at an Ivy League college are distributed with a standard deviation of 250 points. Two statistics students, Raina and Luke, want to estimate the average SAT score of students at this college as part of a class project. They want their margin of error to be no more than 25 points.
(a) Raina wants to use a 90% condence interval. How large a sample should she collect?Raina should sample at least people.
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The College Board finds that the distribution of students' SAT
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Children of parents who did not finish high school have SAT math
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children of parents with graduate degrees have mean 555 and
standard deviation 107. Perhaps we should standardize to a common
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The College Board finds that the distribution of students' SAT scores depends on the level of...
The College Board finds that the distribution of students' SAT
scores depends on the level of education their parents have.
Children of parents who did not finish high school have SAT math
scores X with mean 448 and standard deviation 106. Scores Y of
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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
?=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¯,...
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¯,...
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