Question
In: Statistics and Probability
A simple random sample of size n is drawn. The sample mean is found to be...
A simple random sample of size n is drawn. The sample mean is found to be 17.6, and the sample standard deviation, s, is found to be 4.7.
Construct a 99% confidence interval about if the sample size, n, is 34.
Solutions
Expert Solution
The formula to calculate the population confidence interval is :
We are asked to construct a 99% confidence interval for
population mean 
.
:
sample mean
:
sample standard deviation
:
sample size
For 99% confidence interval: 
Critical value: 
So, the 99% confidence interval for the population mean
is calculated as 
Or 
orchestra answered 2 years agoRelated Solutions
A simple random sample of size n is drawn. The sample mean is found to be...
A simple random sample of size n is drawn. The sample mean is
found to be 17.6, and the sample standard deviation, s, is found
to be 4.7.
A). Construct a 95% confidence interval about if the sample
size, n, is 51.
A simple random sample of size n is drawn. The sample mean, x, is found to...
A simple random sample of size n is drawn. The sample mean, x,
is found to be 18.5, and the sample standard deviation, s, is
found to be 4.6.
(a) Construct a 95% confidence interval about μ if the sample
size, n, is 34.
Lower bound: ___
Upper bound: ___
(Use ascending order. Round to two decimal places as
needed.)
(b) Construct a 95% confidence interval about μ if the sample
size, n, is 61.
Lower bound: ___
Upper bound:...
A simple random sample of size n is drawn. The sample mean, x, is found to...
A simple random sample of size n is drawn. The sample
mean, x, is found to be 35.1, and the sample standard deviation, s,
is found to be 8.7
a) Construct a 90% confidence interval for μ if the
sample size, n, is 100.
b) Construct a 90% confidence interval for μ if the
sample size, n, is 40. How does decreasing the sample size affect
the margin of error, E?
c) Construct a 96% confidence interval for μ if...
A simple random sample of size n is drawn. The sample mean, x , is found...
A simple random sample of size n is drawn. The sample mean, x
, is found to be 18.5 , and the sample standard deviation, s, is
found to be 4.3.
(a) Construct a 95% confidence interval about mean if the
sample size, n, is 35.
(b) Construct a 95% confidence interval about mean if the
sample size, n, is 71. How does increasing the sample size affect
the margin of error, E?
(c) Construct a 99% confidence interval about...
A simple random sample of size n is drawn. The sample mean, x is found to...
A simple random sample of size n is drawn. The sample mean, x
is found to be 19.3 and the sample standard deviation, s, is found
to be 4.7
a. Construct a 95% confidence interval about mu if the sample
size, n, is 35
A simple random sample of size n is drawn. The sample mean, x overbarx, is found...
A simple random sample of size n is drawn. The sample mean, x
overbarx, is found to be 18.5, and the sample standard
deviation, s, is found to be 4.3.
(a) Construct a 95% confidence interval about muμ if the
sample size, n, is 34.
Lower bound: ____
Upper bound: ____
(b) Construct a 95% confidence interval about muμ if the
sample size, n, is 51.
Lower bound: ____
Upper bound: ____
(c) Construct a 99% confidence interval about muμ...
A simple random sample of size n is drawn. The sample mean, x overbar, is found...
A simple random sample of size n is drawn. The sample mean, x
overbar, is found to be 18.4, and the sample standard deviation,
s, is found to be 4.8.
Construct a 95% confidence interval about μ if the sample
size, n, is 34.
A simple random sample of size n is drawn. The sample mean, x overbar, is found...
A simple random sample of size n is drawn. The sample mean, x
overbar, is found to be 18.9, and the sample standard deviation,
s, is found to be 4.4.
a) Construct a 95% confidence interval about mu if the sample
size, n, is 34. Lower bound: nothing; Upper bound: nothing (Use
ascending order. Round to two decimal places as needed.)
(b) Construct a 95% confidence interval about mu if the
sample size, n, is 61. Lower bound: nothing; Upper...
A simple random sample of size n is drawn. The sample mean, x overbarx, is found...
A simple random sample of size n is drawn. The sample mean,
x overbarx,
is found to be
18.618.6,
and the sample standard deviation, s, is found to be
4.84.8.
LOADING...
Click the icon to view the table of areas under the
t-distribution.
(a) Construct a
9595%
confidence interval about
muμ
if the sample size, n, is
3434.
Lower bound:
nothing;
Upper bound: nothing
(Use ascending order. Round to two decimal places as
needed.)
(b) Construct a
9595%
confidence interval...
A simple random sample of size n=40 is drawn from a population. The sample mean is...
A simple random sample of size n=40 is drawn from a population.
The sample mean is found to be x=121.7 and the sample standard
deviation is found to be s=13.3.
Construct a 99% confidence interval for the population
mean.
The lower bound is
(Round to two decimal places as needed.)
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