Question

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

True or False

Answer #1

The above statement is TRUE.

95 percent confidence interval is narrower than 99 percent confidence interval

Hence 95 percent interval is more precise than 99 percent interval.

Explanation: If a confidence interval is made narrower with lower viability and higher sample size, it becomes more precise, the likely values cover a smaller range. If the coverage of this interval is increased by using a 99 percent calculation, the interval becomes more accurate (less precise...understand the difference), the true value is more likely to be within the range.

Which of the following statements is true?
The 95% confidence interval is wider than the 99% confidence
interval.
The ONLY way to reduce the width of a confidence interval is to
reduce the confidence level.
The required sample size for a population mean is ONLY
dependent on population variance.
Given population variance and sampling error, higher confidence
level results in larger sample size.

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

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

True or false?:
13) For a sample mean, the 99% confidence interval is wider than
the 95% confidence interval. 14) The larger the sample size the
more likely x̅ is close to μ.
15) Changing sample size has no effect on power when using the t
test.
16) For the independent two-sample t test, increasing sample
variances decreases power.

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 :)

The width of a confidence interval will be:
Narrower for 98 percent confidence than for 90 percent
confidence.
Wider for a sample size of 64 than for a sample size of 36.
Wider for a 99 percent confidence than for 95 percent
confidence.
Narrower for a sample size of 25 than for a sample size of
36.
None of these.

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

For a given population with unknown mean
The size of the 95% confidence interval for the mean is
smaller than that of the 99% confidence interval
True
b)
False
In a Least Square Method, the Coefficient of
Determination
Provides the value of the slope of the SLR model
True
b)
False
Can vary between 0 and 1
True
b)
False
Can vary between -1 and 1
True
b)
False
Provides the intercept of the SLR model...

Which of the following statements about confidence intervals are
true?
I. A 95% confidence interval will contain the true μ 95% of the
time.
II. If P(|X̅ − μ| > 3) = 0.035. Then a value of μ that is 3
or less units away from X̅ will be included in the 99% confidence
interval.
III. The point estimate X̅ will be included in a 99% confidence
interval.

8. In the first experiment you construct 95% confidence interval
based A sample size of 50 and in the second experiment you
construct a 95% confidence interval based on a sample size of 80 A)
the probablity that the parameter of interest will be inside the
second confidence interval is higher since the sample size is
bigger True? False? Explain
B) the size of the second confidence interval is wider than the
size of the first confidence interval True? False?...

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