Question

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? Explain?

Answer #1

Increasing the sample size decreases the width of confidence intervals, because it decreases the standard error.

So , the width of confidence interval for sample size 50 is greater than the width of confidence interval for sample size 80.

So if the parameter lies on the second interval this implies it also lies on the first interval . As both are 95% confidence interval, this means 95% of all intervals produced by the procedure will contain their corresponding parameters.

(A) Answer : False

(B) Answer : 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.

(a)
Construct a 95% confidence interval about
Mu μ if the sample size, n, is 34
Lower bound:
___________
; Upper bound:
______________
(Use ascending order. Round to two decimal places as
needed.)
(b) Construct a 95% confidence interval about mu μ if
the sample size, n, is 51.
Lower bound:
____________
; Upper bound:
____________
(Use ascending order. Round to two decimal places as
needed.)
How does increasing the sample size affect the margin
of error, E?
A.
The...

What sample size would be needed to construct a 95% confidence
interval with a 5% margin of error on any population
proportion?
Give a whole number answer. (Of course.)

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.

You are given the sample mean and the sample standard deviation.
Use this information to construct the 90% and 95% confidence
intervals for the population mean. Interpret the results and
compare the widths of the confidence intervals. If convenient, use
technology to construct the confidence intervals. A random sample
of 5050 home theater systems has a mean price of $145.00145.00 and
a standard deviation is $18.7018.70.
The 90% confidence interval is
The 95% confidence interval is
Interpret the results. Choose...

1,) Construct a 90% confidence interval for the population
proportion if an obtained sample of size n = 150 has x = 30
2.) Construct a 95% confidence interval for the population mean
if an obtained sample of size n = 35 has a sample mean of 18.4 with
a sample standard deviation of 4.5.

Assume that you want to construct a 95% confidence interval
estimate of a population mean. Find an estimate of the sample size
needed to obtain the specified margin of error for the 95%
confidence interval. The sample standard deviation is given
below.
Margin of errors=$6,
standard deviation=$22
The required sample size is __

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

Assuming that the population is normally distributed, construct
a 95% confidence interval for the population mean, based on the
following sample size of n=8.
1, 2, 3, 4, 5, 6, 7 and 16
In the given data, replace the value 16 with 8 and recalculate
the confidence interval. Using these results, describe the effect
of an outlier (that is, an extreme value) on the confidence
interval, in general.
Find a 95% confidence interval for the population mean, using
the formula...

Suppose you construct a confidence interval for the population
mean. Then, your point estimate – the sample mean – will ALWAYS
fall inside the confidence interval no matter what level of
confidence you use.
Group of answer choices
True
False

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 6 minutes ago

asked 13 minutes ago

asked 13 minutes ago

asked 13 minutes ago

asked 22 minutes ago

asked 31 minutes ago

asked 36 minutes ago

asked 42 minutes ago

asked 56 minutes ago

asked 1 hour ago

asked 1 hour ago