Question
In: Statistics and Probability
One can calculate the 95% confidence interval for the mean with the population standard deviation known....
One can calculate the 95% confidence interval for the mean with the population standard deviation known. This will give us an upper and a lower confidence limit. What happens if we decide to calculate the 99% confidence interval?
Your task for this discussion is as follows:
- Describe how the increase in the confidence level has changed the width of the confidence interval. Do the same for the confidence interval set at 80%.
- Include an example with actual numerical values for the intervals in your post to help with your explanations.
Solutions
orchestra answered 1 year agoRelated Solutions
One can calculate the 95% confidence interval for the mean with the population standard deviation known....
One can calculate the 95% confidence interval for the mean with
the population standard deviation known. This will give us an upper
and a lower confidence limit. What happens if we decide to
calculate the 99% confidence interval? Describe how the increase in
the confidence level has changed the width of the confidence
interval. Do the same for the confidence interval set at 80%.
Include an example with actual numerical values for the intervals
in your post to help with...
one can calculate the 95% confidence interval for the mean with the population standard deviation knowing...
one can calculate the 95% confidence interval for the
mean with the population standard deviation knowing this gives us
an upper and lower confidence limit what happens if we decide to
calculate the 99% confidence interval describe how the increase in
the confidence level has changed the width of the confidence
interval
For normal population with known standard deviation, the x% confidence interval for the population mean µ...
For normal population with known standard deviation, the x%
confidence interval for the population mean µ has a lower end point
(z times the standard error) below the sample mean and a upper end
point (z times the standard error) above the sample mean. That is,
the x% CI is given as
Sample mean ± z *standard error
For 95% CI, the value for z is
Answer 1Choose...2.581.6451.280.9751.96
For 80% CI, the value for z is
Answer 2Choose...2.581.6451.280.9751.96
For 90%...
Calculate the two-sided 95% confidence interval for the population standard deviation (sigma) given that a sample...
Calculate the two-sided 95% confidence interval for the
population standard deviation (sigma) given that a sample of size
n=8 yields a sample standard deviation of 7.96.
Calculate the Mean, Median, Standard Deviation, Coefficient of Variation and 95% population mean confidence intervals for...
Calculate the Mean, Median, Standard Deviation, Coefficient of
Variation and 95%
population mean confidence intervals for property prices of Houses
based on the following
grouping:
Proximity of the property to CBD
Note: Calculate above statistics for both “Up to 5KM” and “Between
5KM and
10KM”
Number of bedrooms
Note: Calculate above statistics for “One bedroom”, “Two bedrooms”
and “Three
bedrooms or more”
Number of bathrooms
Note: Calculate above statistics for “One bathroom”, “Two
bathrooms”, “Three
bathrooms or...
Construct a 95% confidence interval for the population standard deviation of a random sample of 15...
Construct a 95% confidence interval for the population standard
deviation of a random sample of 15 crates which have a mean weight
of 165.2 points and a standard deviation of 12.9 pounds. Assume the
population is normallyn distributed.
A. 9.9, 18.8
B. 9.4, 20.3
Please show work.
A confidence interval for the population mean when the population follows the normal distribution and the population standard deviation is known is computed by? Provide examples.
Question 3
A confidence interval for the population mean when the population follows the normal distribution and the population standard deviation is known is computed by? Provide examples.
Question 6
What are the factors that determine the sample size? How is sample size calculated for estimating the population mean? Provide examples
We wish to develop a confidence interval for the population mean. The population standard deviation is...
We wish to develop a confidence interval for the population
mean. The population standard deviation is known. We have a sample
of 40 observations. We decide to use the 92 percent level of
confidence. The appropriate value of z is:
a)1.96
b)1.65
c)2.58
d)1.75
2. A random sample of 90 days at a coffee
shop produces a mean daily sales of $1200. The standard deviation
of the population of daily sales is $210. What is the 99%
confidence interval for the...
95% Confidence Interval: 86.19 ± 0.364 (85.8 to 86.6) "With 95% confidence the population mean is...
95% Confidence Interval: 86.19 ± 0.364
(85.8 to 86.6)
"With 95% confidence the population mean is between 85.8 and
86.6, based on 33945 samples."
Short Styles:
86.19 (95% CI 85.8 to 86.6)
86.19, 95% CI [85.8, 86.6]
Margin of Error: 0.364
What is the impact of your margin of error on your findings?
Explain.
Is there enough evidence to reject the null hypotheses, explain
in plain English?
1)For the following PAIRED OBSERVATIONS, calculate the 95% confidence interval for the population mean mu_d: A...
1)For the following PAIRED OBSERVATIONS, calculate the 95%
confidence interval for the population mean mu_d: A = {24.83,
24.84, 24.53}, B = {11.94, 13.07, 9.97}.
choose the correct answer
7.24 < mu_d < 18.91
9.98 < mu_d < 16.17
13.05 < mu_d < 13.09
9.59 < mu_d < 16.56
6.98 < mu_d < 19.17
11.79 < mu_d < 14.36
6.90 < mu_d < 19.25
10.62 < mu_d < 15.53
7.55 < mu_d < 18.59
12.27 < mu_d < 13.88
2)For...
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