Question
In: Statistics and Probability
A simple random sample of size n is drawn 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, x bar,is found to be 114, and the sample standard deviation, s, is found to be 10.
(a) Construct an 80% confidence interval about muμ if the sample size, n, is 22. Make sure to record the lower bound and upper bound.
(b) Construct an 80% confidence interval about muμ if the sample size, n, is 13. Make sure to record the lower bound and upper bound.
(c) Construct a 70% confidence interval about muμ if the sample size, n, is 22. Make sure to record the lower bound and upper bound.
(d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
Solutions
orchestra answered 2 years agoRelated Solutions
A simple random sample of size n is drawn 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, x overbar, is found to
be 115, 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 12. (b) Construct an 80% 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....
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
112, 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 26.
(b) Construct a 95% confidence interval about μ if the sample
size, n, is 17.
(c) Construct an 80% 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....
A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean,
x overbarx,
is found to be
106106,
and the sample standard deviation, s, is found to be
1010.
(a) Construct
aa
9595%
confidence interval about
muμ
if the sample size, n, is
1111.
(b) Construct
aa
9595%
confidence interval about
muμ
if the sample size, n, is
2929.
(c) Construct
aa
9999%
confidence interval about
muμ
if the sample size, n,...
A simple random sample of size n is drawn 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,
x overbarx, is found to be 110, and the sample standard
deviation, s, is found to be 10.
(b) Construct a 95% confidence interval about μ if the sample
size, n, is 13.
(c) Construct a 70% confidence interval about μ if the sample
size, n, is 25.
(d) Could we have computed the confidence intervals in parts
(a)-(c) if the...
A simple random sample of size n is drawn 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,x overbarx, 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 23.
(b) Construct a 95% confidence interval about μ if the sample
size, n, is 18.
(c) Construct a 70% confidence interval about μ if the sample
size, n, is 23....
A simple random sample of size n is drawn 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, x overbar , is found to
be 106 , and the sample standard deviation, s, is found to be 10
. (a) Construct an 95 % confidence interval about mu if the
sample size, n, is 18 . The Lower Bound and Upper Bound (b)
Construct an 95 % confidence interval about mu if the sample
size, n, is 25 ....
A simple random sample of size n is drawn 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, x overbar , is found to
be 106 , and the sample standard deviation, s, is found to be 10
. (a) Construct an 95 % confidence interval about mu if the
sample size, n, is 18 . The Lower Bound and Upper Bound (b)
Construct an 95 % confidence interval about mu if the sample
size, n, is 25 ....
A simple random sample of size n is drawn 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, x, is found to be 110,
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 23.
(Use ascending order. Round to one decimal place as
needed.)
Lower bound: ____
Upper bound:____
(b) 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...
A simple random sample of size n is drawn from a population that
is normally distributed with population standard deviation of 13 (σ
=13). The sample mean is 108 (?̅= 108). Compute a 96 percent
confidence interval for the population mean (μ) for a sample size
of 25 (n = 25).
a. Will you use a z value or a t value in your calculation?
Explain?
b. What is the value of z or t that you will use in...
A simple random sample of size n is drawn 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,
x overbarx,
is found to be
105105,
and the sample standard deviation, s, is found to be
1010.
(a) Construct
aa
9898%
confidence interval about
muμ
if the sample size, n, is
1515.
(b) Construct
aa
9898%
confidence interval about
muμ
if the sample size, n, is
2424.
(c) Construct
aa
9999%
confidence interval about
muμ
if the sample size, n,...
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