Question
In: Statistics and Probability
Suppose a random sample of size 40 was drawn from a normally distributed population, with a...
Suppose a random sample of size 40 was drawn from a normally distributed population, with a known population standard deviation of σ=6.4.
a) What is the margin of error for a 95% confidence level?
Round your response to at least 3 decimal places.
b) What is the margin of error for a 90% confidence level?
Round your response to at least 3 decimal places.
Solutions
Expert Solution
Solution
Given that,
= 6.4
n = 40
a ) At 95% confidence level the z is ,
=
1 - 95% = 1 - 0.95 = 0.05
/ 2 = 0.05 / 2 = 0.025
Z/2
= Z0.025 = 1.960
Margin of error = E = Z/2*
(
= 1.960 * (6.4 /
Margin of error = 1.983
b ) At 90% confidence level the z is ,
= 1 - 90% = 1 - 0.90 = 0.10
/ 2 = 0.10 / 2 = 0.05
Z/2
= Z0.05 = 1.645
Margin of error = E = Z/2*
(
= 1.645* (6.4 /
Margin of error = 1.664
orchestra answered 1 year 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,...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Write in Python and as 2 seperate programs Write a program that allows the user to...
- Asymptotic Notation. (a) [10 pts.] Prove that n3 −91n2 −7n−14 = Ω(n3). Your answer must clearly...
- Prepare ONE Page reflection to the readings of the Perceptual Process incorporating as well one outside...
- How is the internet affecting our everyday life? I just need a rough draft for this...
- Please explain your view of the most difficult aspect of Customs Compliance?
- You are required to write an interactive program that prompts the user for seven (7) real...
- Describe in detail the five-forces model of industry competition. What causes each of the forces to...
ADVERTISEMENT