Question

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 your explanations.

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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 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...

Construct a 95% confidence interval for the population
mean,Assume the population has a normal distribution, A random
sample of 16 fluorescent light bulbs has a mean life of 645 hours
with a standard devastion of 31 hours.
From the above question calculate the 99% confidence interval
for n = 16.
then, Letting n= 100, calculate the 95% and 99% confidence
intervals
(a) What happend to the interval width from 95% to 99%
(b) what happend to the interval width from...

A 99% confidence interval estimate of the population mean ? can
be interpreted to mean:
a) if all possible sample are taken and confidence intervals
created, 99% of them would include the true population mean
somewhere within their interval.
b) we have 99% confidence that we have selected a sample whose
interval does include the population mean.
c) we estimate that the population mean falls between the lower
and upper confidence limits, and this type of estimator is correct
99%...

A. which confidence interval is wider? The 95%
confidence interval or the 99% confidence interval?
difference for both confidence intervals: 0.109
95% CI for difference: (-0.123, 0.340)
99% CI for difference: (-0.199, 0.416)
B. Given an arbitrary data set, is there a general
relationship between confidence level and the width of the
confidence interval? Explain.
Please make the answers to parts A and B detailed and easy to
read and follow, thank you :)

Construct 90%, 95%, and 99% confidence intervals to estimate μ
from the following data. State the point estimate. Assume the data
come from a normally distributed population. 13.3 11.6 11.9 12.2
12.5 11.4 12.0 11.7 11.8 13.3
(Round the intermediate values to 4 decimal places. Round your
answers to 2 decimal places.)
90% confidence interval: enter the lower limit of the 90%
confidence interval ≤ μ ≤ enter the upper limit
of the 90% confidence interval
95% confidence interval: enter the...

Construct 90%, 95%, and 99% confidence intervals to estimate μ
from the following data. State the point estimate. Assume the data
come from a normally distributed population. 13.7 11.6 11.9 13.0
12.5 11.4 12.0 11.7 11.8 13.7 Appendix A Statistical Tables (Round
the intermediate values to 4 decimal places. Round your answers to
2 decimal places.) 90% confidence interval: enter the lower limit
of the 90% confidence interval ≤ μ ≤ enter the upper limit of the
90% confidence interval...

Construct a 95% confidence interval to estimate the population
mean using the data below.
With 95 % confidence, when nequals= 50 the population mean is
between a lower limit of _____ and an upper limit of ______

Construct 90%, 95%, and 99% confidence intervals to estimate μ
from the following data. State the point estimate. Assume the data
come from a normally distributed population. 13.1 11.6 11.9 12.0
12.5 11.4 12.0 11.7 11.8 13.1 Appendix A Statistical Tables (Round
the intermediate values to 4 decimal places. Round your answers to
2 decimal places.) 90% confidence interval: enter the lower limit
of the 90% confidence interval ≤ μ ≤ enter the upper limit of the
90% confidence interval...

Construct 90%, 95%, and 99% confidence intervals to estimate μ
from the following data. State the point estimate. Assume the data
come from a normally distributed population. 12.0 11.6 11.9 12.9
12.5 11.4 12.0 11.7 11.8 12.0 Appendix A Statistical Tables (Round
the intermediate values to 4 decimal places. Round your answers to
2 decimal places.) 90% confidence interval: enter the lower limit
of the 90% confidence interval ≤ μ ≤ enter the upper limit of the
90% confidence interval...

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