Question

**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 :)

Answer #1

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.

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...

Which confidence interval is wider? 90% or 95%? Why?

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.
Yes. Keeping all other values the same, increasing the
confidence level leads to a wider interval which would still
include negative and positive numbers.
No. Increasing the confidence level leads to...

Which of the following is true when a 95% confidence interval for a
population proportion is changed to a 99% confidence interval, with
all other parts of the interval remaining constant? Clear
Detailed Work Please! Thank you for your hard work!
One of these 4 options is correct:
A. interval size increases by 4%
B. interval size decreases by 4%
C. interval size increases by 31%
D. interval size decreases by 31%

Sample mean is always:
The lower endpoint of the 99% confidence interval.
The middle of the confidence 99% interval.
The upper endpoint of the 99% confidence interval.
The average monthly electricity consumption in a random sample
of 100 households in February 2016 in North Kingstown was 637
kilowatt hours (kWh) with sample standard deviation s=45kwh. A 95%
confidence interval for the true electricity consumption in North
Kingstown is
637 ± 1.95 * 45/10
637 ± 1.96 * 45
637 ±...

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.

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...

You are constructing a 95% confidence interval for the mean of a
normal population. If you increase your sample size from n to 4n,
the width of the confidence interval a) becomes two times wider b)
becomes two times narrower c) becomes four times narrower d)
becomes four time wider e) cannot determine from this
information
Can somebody explain please? Will upvote :) 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

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