Question

Based on a simple random sample of size 90, an 84% confidence interval for the unknown mean SAT MATH score, μμ, in some large population is 517<μ<525517<μ<525.

Which of the following is/are correct interpretation(s) of this
confidence interval?There may be more than one correct answer; you
must check all correct answers in order to get credit for this
problem.

**A.** 84% of individuals in this sample have a mean
SAT MATH score between 517 and 525.

**B.** 84% of individuals in this population have a
SAT MATH score between 517 and 525.

**C.** There is an 84% chance that another sample of
size 90 from this population would have a mean SAT MATH score
between 517 and 525.

**D.** 84% of all samples of size 90 from this
population would have a mean SAT MATH score between 517 and
525.

**E.** There is an 84% chance that the true mean SAT
MATH score for the entire population is between 517 and 525.

**F.** There is an 84% chance the interval
517<μ<525517<μ<525 contains the true mean SAT MATH
score for the entire population.

Based on a simple random sample of size 620, a 91% confidence
interval for the mean IQ score, μμ, in some large population is
reported as 100.9±8.5100.9±8.5. Which of the following is/are
correct interpretation(s) of this confidence interval?There may be
more than one correct answer; you must check all correct answers in
order to get credit for this problem.

**A.** There is a 91% chance that another sample of
size 620 would have a mean IQ score within 8.5 points of
100.9.

**B.** 91% of the 620 individuals in this sample have
an IQ score that is within 8.5 points of the population mean.

**C.** There is a 91% chance that the true mean IQ
score for the entire population is within 8.5 points of
100.9.

**D.** 91% of all individuals have an IQ score within
8.5 points of 100.9.

**E.** There is a 91% chance that 100.9 is within 8.5
points of the true mean IQ score for the entire population.

**F.** 91% of all samples of size 620 would have a
mean IQ score within 8.5 points of 100.9.

Answer #1

If a school district takes a random sample of 81 Math SAT scores
and finds that the average is 486, and knowing that the population
standard deviation of Math SAT scores is intended to be 100. Find a
99% confidence interval for the mean math SAT score for this
district.
? ≤ μ≤ ≤
If a school district takes a random sample of 81 Math SAT scores
and finds that the average is 486, and knowing that the population
standard...

Based on a sample of size 49, a 95% confidence interval for the
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Find the margin of error.
Group of answer choices
A) 2.8
B) 0.05
C) 0.78
D) There is not enough information to find the margin of
error.
E) 5.6

A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean, overbar x, is found to
be 115, and the sample standard deviation, s, is found to be 10.
(a) Construct a 98% confidence interval about μ if the sample
size, n, is 20. (b) Construct a 98% confidence interval about μ
if the sample size, n, is 25. (c) Construct a 99% confidence
interval about μ if the sample size, n,...

A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean, is found to be 109, and
the sample standard deviation, s, is found to be
10.
(a) Construct a 98% confidence interval about m μ if the
sample size, n, is 21.
(b) Construct a 98% confidence interval about mu μ if the
sample size, n, is 26.
(c) Construct a 99% confidence interval about mu μ if the
sample size,...

1,) Construct a 90% confidence interval for the population
proportion if an obtained sample of size n = 150 has x = 30
2.) Construct a 95% confidence interval for the population mean
if an obtained sample of size n = 35 has a sample mean of 18.4 with
a sample standard deviation of 4.5.

A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean, x, is found to be 113,
and the sample standard deviation, s, is found to be 10.
(a) Construct a 90% confidence interval about μ if the sample
size, n, is 22.
(b) Construct a 90% confidence interval about μ if the sample
size, n, is 15.
(c) Construct an 80% confidence interval about μ if the
sample size, n, is...

The data set represents the scores of 12 randomly selected
students on the SAT Physics Subject Test. Assume the population
test scores are normally distributed and the population standard
deviation is 103. (Adapted from The College Board) 670 740 630 620
730 650 720 620 640 500 670 760
(a) Find the point estimate of the population mean.
(b) Construct a 90% confidence interval for the population mean.
Interpret the results.
(c) Determine the minimum sample size required to be...

A student was asked to find a 90% confidence interval for the
proportion of students who take notes using data from a random
sample of size n = 84. Which of the following is a correct
interpretation of the interval 0.1 < p < 0.31? Check all that
are correct. With 90% confidence, a randomly selected student takes
notes in a proportion of their classes that is between 0.1 and
0.31. There is a 90% chance that the proportion of...

The 80% confidence interval states that 95% of the sample means
of a specified sample size selected from a population will lie
within plus and minus 1.28 standard deviations of the hypothesized
population mean.

A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean,
x,
is found to be
115,
and the sample standard deviation, s, is found to be
10.
(a) Construct
a
95%
confidence interval about
μ
if the sample size, n, is
22.
(b) Construct
a
95%
confidence interval about
μ
if the sample size, n, is
12.
(c) Construct
a
90%
confidence interval about
μ
if the sample size, n, is...

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