Question

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

Answer #1

**Ans : b)
becomes two times
narrower **

If you construct a 90% confidence interval for the population
mean instead of a 95% confidence interval and the sample size is
smaller for the 90%, but with everything else being the same, the
confidence interval would: a. remain the same b. become narrower c.
become wider d. cannot tell without further information.

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...

6) Would a 90% confidence interval for a population mean be
narrower or wider than the corresponding 95% interval?
narrower
wider
same
cannot be compared

The width of a confidence interval
estimate for a population mean when the population standard
deviation is known will
(A) become narrower if the
size of the sample being used is increased and the confidence level
is unchanged.
(B) not change if
only the sample size is increased.
(C) become wider if
the sample size remains the same and the confidence level
decreases.
(D) become narrower if the
size of the sample is decreased and the confidence level is
unchanged....

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...

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...

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.

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 :)

Find the value tα/2 for constructing a 95% confidence interval
for μ if we draw a sample of size 15 from a normal population with
σ unknown.

Using an alpha = 0.05 a confidence interval for a population
mean is determined to be 3.65 to 3.75. If the level of significance
is decreased, the interval for the population mean
Select one:
a. becomes narrower
b. becomes wider
c. does not change
d. increases or decreases depending on the value of the
population mean

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 28 minutes ago

asked 34 minutes ago

asked 40 minutes ago

asked 44 minutes ago

asked 45 minutes ago

asked 50 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago