Question

29. When the level of confidence and the sample size remain the same, a confidence interval for a population mean µ will be _____, when the sample standard deviation s is smaller than when s is larger.

A. narrower

B. sometimes wider, sometimes narrower

C. wider

D. the same

Answer #1

Question 29)

When the level of confidence and the sample size remain the
same, a confidence interval for a population mean µ will be
**narrower** when the sample standard deviation s is
smaller than when s is larger.

**Note:** confidence interval for population mean
when sampl srandard deviation is given as follows,

Therefore, when samle standard deviation is small.then margin of error ( E) is also get small and interval becomes narrower.

true or false
When the level of confidence and sample proportion p remain the
same, a confidence interval for a population proportion p based on
a sample of n = 200 will be narrower than a confidence interval for
p based on a sample of n = 100.
When the level of confidence and the sample size remain the
same, a confidence interval for a population mean µ will
be narrower, when the sample standard deviation s is larger than...

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.

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...

Which of the following will not result in a narrower confidence
interval?
a- Smaller sample mean
b- Larger sample size
c- Smaller population standard deviation
d-Lower confidence level
d-Lower confidence level

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....

At a given sample size and level of confidence, the smaller the
population standard deviation σ, the wider and thus the less
precise the confidence interval estimate of µ is.
True or False

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.

The length of a confidence interval changes when either the
confidence level changes or the sample size changes. To illustrate
this, imagine a statistician takes a sample from a population with
a population standard deviation of 2. The sample mean is calculated
to be 10. Construct 3 different confidence intervals:
3a) Assume the sample size is 30 and the confidence level is
95%
3b) Assume the sample size is 30 and the confidence level is
90%
3c) Assume the sample...

A simple random sample with
n = 52
provided a sample mean of 28.5 and a sample standard deviation
of 4.4. (Round your answers to one decimal place.)
(a)
Develop a 90% confidence interval for the population mean.
to
(b)
Develop a 95% confidence interval for the population mean.
to
(c)
Develop a 99% confidence interval for the population mean.
to
(d)
What happens to the margin of error and the confidence interval
as the confidence level is increased?
As...

A researcher measured the body temperatures of a randomly
selected group of adults. He wishes to estimate the average
temperature among the adult population. Summaries of the data he
collected are presented in the table below. Complete parts? (a)
through? (d) below.
Summary
Count
Mean
Median
MidRange
StdDev
Range
IntQRange
tempeture
43
98.457
98.000
98.600
0.8847
2.800
1.050 ?
a) Would a 90?% confidence interval be wider or narrower than
the 98?% confidence? interval? Explain. Choose the correct...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 10 minutes ago

asked 28 minutes ago

asked 44 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago