Question

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, is 20. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?

Answer #1

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 115, and the sample standard deviation, s, is found to be 10.
(a) Construct a 98% confidence interval about mu if the sample
size, n, is 16. (b) Construct a 98% confidence interval about mu
if the sample size, n, is 20. (c) Construct a 99% 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, 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, 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 106 , 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 20 . (b) Construct a 96 % confidence interval
about mu if the sample size, n, is 13 . (c) Construct a 70 %
confidence...

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,...

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,...

simple random sample of size n is drawn from a population that
is normally distributed. The sample mean, x overbar, is found to
be 112, and the sample standard deviation, s, is found to be
10.
(a) Construct a 90% confidence interval about mu if the
sample size, n, is 19.
(b) Construct a 90% confidence interval about mu if the sample
size, n, is 12.
(c) Construct an 80% confidence interval about mu if the
sample size,...

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...

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 normally distributed. The sample mean, x overbar, is found to
be 108, and the sample standard deviation, s, is found to be
10.
1. A) Construct a 96% confidence interval about μ if
the sample size, n, is 24.
1. B) Construct a 96% confidence interval about μ if
the sample size, n, is 20.
How does increasing the sample size affect the margin
of error,...

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