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 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, is
1515.
(d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
Solutions
Expert Solution
(a)
(b)
(c)
(d)
No since all sample size is less than 30 so CLT cannot be applied.
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 overbar, is found to
be 109, 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 21.
(b) Construct a 90% confidence interval about mu if the
sample size, n, is 29.
(c) Construct a 95% confidence interval about mu if the sample
size, n,...
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