Question

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, is 16. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?

Answer #1

Part a)

Confidence Interval

Lower Limit =

Lower Limit = 108.4938

Upper Limit =

Upper Limit = 121.5062

98% Confidence interval is ( 108.4938 , 121.5062 )

Part b) n = 20

Confidence Interval

Lower Limit =

Lower Limit = 109.3215

Upper Limit =

Upper Limit = 120.6785

98% Confidence interval is ( 109.3215 , 120.6785 )

Part c) n = 16

Confidence Interval

Lower Limit =

Lower Limit = 107.6332

Upper Limit =

Upper Limit = 122.3668

99% Confidence interval is ( 107.6332 , 122.3668 )

Part d)

No, because the requirement for calculating a t interval for sample size less than 30 the data should come from a population that is normally distributed.

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, 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 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 13.
(b) Construct a 96% confidence interval about mu if the sample
size, n, is 29.
(c) Construct a 99% confidence interval about mu if the...

A simple random sample of size n is drawn from a population that
is normally distributed. The samplemean,
x overbar
,
is found to be
105
,
and the sample standarddeviation,s, is found to be
10
.
(a)Construct
an
80
%
confidence interval about
mu
if the samplesize,n, is
26
.
(b)Construct
an
80
%
confidence interval about
mu
if the samplesize,n, is
16
.
(c)Construct
a
70
%
confidence interval about
mu
if the samplesize,n, is
26
.
(d)Could...

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 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 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, 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....

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 4 minutes ago

asked 4 minutes ago

asked 4 minutes ago

asked 5 minutes ago

asked 7 minutes ago

asked 8 minutes ago

asked 10 minutes ago

asked 15 minutes ago

asked 17 minutes ago

asked 18 minutes ago

asked 18 minutes ago