Question

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 we have computed the confidence intervals in parts(a)-(c)if the population had not been normallydistributed?

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 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 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 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, 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 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 106 , 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 13 . How does decreasing 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 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 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 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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