Question

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 22.

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

Click the icon to view the table of areas under the t-distribution.

(a) Construct a 90% confidence interval about μ if the sample size, n, is 22.

Lower bound:?

Upper bound: ?

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 105, 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 24. (b) Construct a 90% 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,
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...

A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean x bar is found to be
109,
and the sample standard deviation, s, is found to be 10.
a. Construct 95% confidence interval about miu, if the sample
size n is 28. Find lower and upper bound.
b. Construct 95% confidence interval about miu, if the sample
size n is 17. Find lower and upper bound.
c.Construct 80% confidence interval about...

A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean, x bar over x, is found to
be 109, 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 29
lower bound: __ upper bound: __
b) Re-do, but with a different interval. Construct a 95%
confidence interval about mu if sample size n, is 29...

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,...

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,...

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 overbar, is found to
be 107, 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 18.
(b) Construct a 96% confidence interval about mu if the sample
size, n, is 22.
(c) Construct a 98% confidence interval about mu if the...

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,...

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