Question

Let a random sample be taken of size n = 100 from a population
with a known standard deviation of \sigma σ = 20. Suppose that the
mean of the sample is X-Bar.png= 37. Find the 95% confidence
interval for the mean, \mu μ , of the population from which the
sample was drawn. **(Answer in CI format and round the values
to whole numbers.)**

Answer #1

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,...

A simple random sample of size n is drawn from a population that
is normally distributed. The sample? mean, is found to be 112?, and
the sample standard? deviation, s, is found to be 10.
?(a) Construct a 95?% confidence interval about
mu? if the sample? size, n, is 18.
?(b) Construct a 95?% confidence interval about
mu? if the sample? size, n, is 11.
?(c) Construct a 70?% confidence interval about
mu? if the sample? size, n, is 18....

A simple random sample of size n is drawn from a population that
is known to be normally distributed. The sample variance is
determined to be 20.
a) Construct a 95% confidence interval for σ² if the sample size
is 40.
b) How does increasing the level of confidence affect the width
of the confidence interval?

A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean, x overbar, is found to
be 109, and the sample standard deviation, s, is found to be
10.
(a) Construct a 95% confidence interval about mu if the
sample size, n, is 18.
(b) Construct a 95% confidence interval about mu if the
sample size, n, is 14.
(c) Construct a 90% confidence interval about mu if the
sample size, n,...

A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean, x overbar, is found to
be 105, and the sample standard deviation, s, is found to be 10.
(a) Construct a 95% confidence interval about mu if the sample
size, n, is 26. (b) Construct a 95% confidence interval about mu
if the sample size, n, is 20. (c) Construct an 80% confidence
interval about mu if the sample size, n,...

A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean, x overbar, is found to
be 113, and the sample standard deviation, s, is found to be
10.
(a) Construct a 95% confidence interval about mu if the
sample size, n, is 24.
(b) Construct a 95% confidence interval about mu if the
sample size, n, is 17.
(c) Construct a 70% confidence interval about mu if the
sample size, n,...

A simple random sample of size n =19 is drawn from a population
that is normally distributed with σ=16. The sample mean is found to
be x overbar = 65. Construct a 95% confidence interval about the
population mean.

A random sample is drawn from a population having σ = 15.
a. If the sample size is n = 30 and the sample mean x = 100,
what is the 95% confidence interval estimate of the population mean
µ?
b. If the sample size is n = 120 and the sample mean x = 100,
what is the 95% confidence interval estimate of the population mean
µ?
c. If the sample size is n = 480 and the sample...

A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean, x overbar, is found to
be 111, and the sample standard deviation, s, is found to be 10.
(a) Construct a 96% confidence interval about mu if the sample
size, n, is 23. (b) Construct a 96% confidence interval about mu
if the sample size, n, is 27. (c) Construct a 98% confidence
interval about mu if the sample size, n,...

A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean, x overbar, is found to
be 110, and the sample standard deviation, s, is found to be
10.
(a) Construct an 80% confidence interval about mu if the
sample size, n, is 29.
(b) Construct an 80% confidence interval about mu if the
sample size, n, is 21.
(c) Construct a 70% confidence interval about mu if the
sample size, n,...

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