Question
In: Economics
Suppose you draw a sample from a population with a standard deviation of 25. You draw...
Suppose you draw a sample from a population with a
standard deviation of 25. You draw 50 observations and end up with
a sample mean of 100.
a) Estimate a 90% confidence interval for the population mean
b) Estimate a 95% confidence interval for the population mean
c) Estimate a 99% confidence interval for the population mean
d) What effect does increasing the confidence level have on the
resulting confidence interval?
e) Carefully interpret your confidence interval from part (a).
Solutions
Rahul Sunny answered 1 year agoRelated Solutions
Suppose a random sample of 25 is drawn from a population whose standard deviation is unknown....
Suppose a random sample of 25 is drawn from a population whose
standard deviation is unknown. If the sample mean is 125 and the
sample standard deviation is 10, the 90% confidence interval to
estimate the population mean is between
We draw a random sample of size 36 from a population with standard deviation 3.2. If...
We draw a random sample of size 36 from a population with
standard deviation 3.2. If the sample mean is 27, what is a 95%
confidence interval for the population mean?
[26.7550, 28.2450]
[25.9547, 28.0453]
[25.8567, 28.1433]
[26.8401, 27.1599]
We draw a random sample of size 36 from a population with standard deviation 3.2. If...
We draw a random sample of size 36 from a population with
standard deviation 3.2. If the sample mean is 27, what is a 95%
confidence interval for the population mean?
A random sample of 25 items is drawn from a population whose standard deviation is unknown....
A random sample of 25 items is drawn from a population whose
standard deviation is unknown. The sample mean (x-bar) is 850.
Construct a confidence interval with 95% confidence for the
different values of s. Do not forget to use the t distribution in
this case. a. Assume s = 15. b. Assume s = 30. c. Assume s = 60. d.
Describe how the confidence interval changes as s increases.
4 We draw a random sample of size 40 from a population with standard deviation 2.5....
4
We draw a random sample of size 40 from a population with standard
deviation 2.5.
Show work in excel with formulas
a
If the
sample mean is 27, what is a 95% confidence interval for the
population mean?
b
If the
sample mean is 27, what is a 99% confidence interval for the
population mean?
c
If the
sample mean is 27, what is a 90% confidence interval for the
population mean?
d
If the
sample mean is 27...
A population has a mean of 400 and a standard deviation of 70. Suppose a sample...
A population has a mean of 400 and a standard deviation of 70.
Suppose a sample of size 125 is selected. Use z-table.
a. What is the probability that the sample mean
will be within +4 or -4 of the population mean (to 4 decimals)?
b. What is the probability that the sample mean
will be within +10 0r -10 of the population mean (to 4
decimals)?
A population has a mean of 400 and a standard deviation of 60. Suppose a sample...
A population has a mean of 400 and a standard deviation of 60.
Suppose a sample of size 125 is selected and is used to
estimate . Use z-table.
What is the probability that the sample mean will be within +/-
4 of the population mean (to 4 decimals)? (Round z value
in intermediate calculations to 2 decimal places.)
What is the probability that the sample mean will be within +/-
15 of the population mean (to 4 decimals)? (Round z...
A population has a mean of 300 and a standard deviation of 70. Suppose a sample...
A population has a mean of 300 and a standard deviation of 70.
Suppose a sample of size 125 is selected and is used to
estimate . Use z-table.
What is the probability that the sample mean will be within +/-
3 of the population mean (to 4 decimals)? (Round z value
in intermediate calculations to 2 decimal places.)
What is the probability that the sample mean will be within +/-
10 of the population mean (to 4 decimals)? (Round z...
A population has a mean of 300 and a standard deviation of 80. Suppose a sample...
A population has a mean of 300 and a standard deviation of 80.
Suppose a sample of size 125 is selected and X is used to estimate
M. Use z-table.
What is the probability that the sample mean will be within +/-
6 of the population mean (to 4 decimals)? (Round z value
in intermediate calculations to 2 decimal places.)
What is the probability that the sample mean will be within +/-
15 of the population mean (to 4 decimals)?...
A population has a mean of 300 and a standard deviation of 80. Suppose a sample...
A population has a mean of 300 and a standard deviation of 80.
Suppose a sample of size 125 is selected and X is used to estimate
M. Use z-table.
What is the probability that the sample mean will be within +/-
6 of the population mean (to 4 decimals)? (Round z value
in intermediate calculations to 2 decimal places.)
What is the probability that the sample mean will be within +/-
15 of the population mean (to 4 decimals)?...
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