Question

- 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.

Answer #1

1- Which of the following statements is true?
I. For a certain confidence level, you get a higher margin of
error if you reduce your sample size.
II. For a given sample size, increasing the margin of error will
mean higher confidence.
III. For a fixed margin of error, smaller samples will mean
lower confidence.
I only
II only
III only
II and III only
All of them
----------------------------------
2- Which must be true about a 90% confidence interval based...

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 :)

Which of the following is TRUE?
A.
The confidence interval is narrower if the sample size is
smaller.
B.
The confidence interval is narrower if the level of significance
is smaller.
C.
The confidence interval is wider if the level of confidence
level is larger.
D.
The confidence interval is wider if the sample size is
larger.

Consider the following statements concerning confidence interval
estimates:
A. The use of the pooled variance estimator when constructing a
confidence interval for the difference between means requires the
assumption that the population variances are equal.
B. The width of a confidence interval estimate for the proportion,
or for mean when the population standard deviation is known, is
inversely proportional to the square root of the sample size.
C. To determine the sample size required to achieve a desired
precision in...

Question 1.
Which of the following is the CORRECT interpretation of a 95%
confidence interval?
a) There is a 95% probability that the interval contains the
population value
b) There is a 95% chance that the true population value is
inside the interval
c) if we sampled from a population repeatedly and created
confidence intervals, 95% of those confidence intervals would
contain the population mean
d) We are 95% sure of the sample statistic
Question 2.
What is the mean...

1 - Which of the following statements is true regarding a 95%
confidence interval? Assume numerous large samples are taken from
the population.
a. In 95% of all samples, the sample proportion will fall within 2
standard deviations of the mean, which is the true proportion for
the population.
b. In 95% of all samples, the true proportion will fall within 2
standard deviations of the sample proportion.
c. If we add and subtract 2 standard deviations to/from the sample...

True or false:
1. When constructing a confidence interval for a sample
Mean, the t distribution is appropriate whenever the sample size is
small.
2. The sampling distribution of X (X-bar) is not always
a normal distribution.
3. The reason sample variance has a divisor of n-1
rather than n is that it makes the sample standard deviation an
unbiased estimate of the population standard
deviation.
4. The error term is the difference between the actual
value of the dependent...

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.

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.

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