Question

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?

Answer #1

A simple random sample of size n is drawn from a population that
is known to be normally distributed. The sample variance, s
squared, is determined to be 11.8. Complete parts (a) through
(c). (a) Construct a 90% confidence interval for sigma squared if
the sample size, n, is 20. The lower bound is nothing. (Round to
two decimal places as needed.) The upper bound is nothing. (Round
to two decimal places as needed.)
b) Construct a 90% confidence...

A simple random sample of size n is drawn from a population that
is known to be normally distributed. The sample variance, s
squared, is determined to be 13.4. Complete parts (a) through
(c). (a) Construct a 90% confidence interval for sigma squared if
the sample size, n, is 20. The lower bound is nothing. (Round to
two decimal places as needed.) The upper bound is nothing. (Round
to two decimal places as needed.) (b) Construct a 90% confidence
interval...

A simple random sample of size n is drawn from a population that
is known to be normally distributed. The sample variance,
s squareds2,
is determined to be
12.512.5.
Complete parts (a) through (c).
(a) Construct a 90% confidence interval for
sigma squaredσ2
if the sample size, n, is 20.The lower bound is
nothing.
(Round to two decimal places as needed.)The upper bound is
nothing.
(Round to two decimal places as needed.)(b) Construct a 90%
confidence interval for
sigma squaredσ2...

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,...

A simple random sample of size 20 is drawn from a population
that is known to be normally distributed. The sample variance, s
squared, is determined to be 12.4. Construct a 90% confidence
interval for sigma squared. The lower bound is nothing. (Round to
two decimal places as needed.) The upper bound is nothing. (Round
to two decimal places as needed.)

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 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 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,
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 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,...

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