Question

If a confidence interval is constructed at a confidence level of 99% instead of 95%:

a)Estimation precision decreases b)The precision of the estimate is not altered c)We can accurately calculate the value of the parameter of interest d)Estimation accuracy improves significantly

Answer #1

Confidence level /coefficient of a confidence interval tells us the amount of confidence we can have on that interval in estimating a population parameter.

For example a 95% confidence interval tells us that on an average almost 95% of the time, the confidence interval will contain the true value of the population parameter.

Similarly, a 99% confidence interval tells us that on an average almost 99% of the time, the confidence interval will contain the true value of the population parameter.

So clearly more confidence coefficient means better accuracy of estimation.

Hence if a confidence interval is constructed at a level of 99% instead of 95% , then the estimation accuracy increases significantly.

Hope the solution helps. Thank you.

(Please comment for any further help)

1. From the following confidence interval for µ1 - µ2: [-0.32,
0.86], the following can be concluded
Select one:
a) That there is no significant difference between the means of
both populations
b)That both stockings are small
c)That µ2 is greater than µ1
d)That µ1 is greater than µ2
2. If a confidence interval is constructed at a confidence level
of 99% instead of 95%
Select one:
a)Estimation precision decreases
b)The precision of the estimate is not altered
c)Estimation accuracy...

If we change a 95% confidence interval estimate to a 99%
confidence interval estimate, we can expect
A.
the required sample size to increase
B.
the UCL - LCL range to decrease
C.
precision of the estimate to decrease
D.
precision of the estimate to increase

Increasing the confidence-interval level from .95 to .99
a.
increases the likelihood of including the population mean within
its limits
b.
decreases the likelihood of including the population mean within
its limits
c.
increases the number of degrees of freedom
d.
none of these, since a confidence interval may never include the
true population mean

A 99 percent confidence interval has higher confidence but less
precision than a 95 percent confidence interval.
True or False

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 :)

Q10. If population mean is included in the 95% confidence
interval then
a. 99% confidence interval will always include the mean
b. 90% confidence interval will never include that mean
c. 99% confidence interval will never include that mean
d. 90% confidence interval will always include the mean

The
probability that the interval estimation procedure will generate an
interval that contains the actual value of the population parameter
being estimated is the ....
a. level of significance
b. confidence coefficient
c. error factor
d. confidence level

If the confidence level is increased from 95% to 99%,
will the length of the confidence interval increase, decrease, or
remain the same? Explain

Suppose you calculate a 95% confidence interval for the
difference in population means. The confidence interval contains
both negative and positive values.
Will a 99% confidence interval based on the same data contain
both negative and positive numbers as well? Choose the correct
response from the options provided below.
A. Yes. Keeping all other values the same, increasing the
confidence level leads to a wider interval which would still
include negative and positive numbers.
B.
No. Increasing the confidence level...

A
95%
confidence interval of
16.6
months to
49.6
months has been found for the mean duration of
imprisonment,
muμ,
of political prisoners of a certain country with chronic
PTSD.
a. Determine the margin of error, E.
b. Explain the meaning of E in this context in terms of the
accuracy of the estimate.
c. Find the sample size required to have a margin of error
of
12
months and a
99%
confidence level. (Use
sigmaσequals=42
months.)d. Find a
99%...

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