Question

Utilize the following information and answer the questions below: A 95% confidence interval obtained from a sample of 100 outpatients for the true population mean normal mean systolic blood pressure is given by (114 mmHG, 120 mmHG).

Construct the confidence interval. Provide a correct interpretation of this interval. Can you think of other interpretations that would also be correct?

This confidence interval came from a single sample, would we get the same interval if we obtained a different set of 100 patients? What does this imply about your interpretation of the given interval?

If we wanted a 99% confidence interval instead, can you tell whether it would be narrower or wider? Can you tell by how much?

Answer #1

**Solution:**

- This interval means that you can be 95% confident that the population mean of outpatients is between 114mmHG and 120mmHG.

Also it can be interpreted that you can 95% confident that you will obtain mean of outpatients BP between 114mmHG and 120mmHG when you take another random sample from the population

- No. This shows that a given interval just predicts the range of the mean not interval

- The interval could be wider by tα_{0.001}*s/√n/
tα_{0.05}*s/√n

The focus this week is on confidence intervals. Utilize the
following information and answer the questions below: A 95%
confidence interval obtained from a sample of 100 outpatients for
the true population mean normal mean systolic blood pressure is
given by (114 mmHG, 120 mmHG).
Provide a correct interpretation of this interval. Can you
think of other interpretations that would also be correct?
This confidence interval came from a single sample, would we
get the same interval if we obtained...

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.

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

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...

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...

Please criticize the following statement regarding the
interpretation of a confidence interval:
Results for a 95% Confidence Interval for estimating the
population mean: 74.1< Mean< 83.1
" After looking at the above results we can conclude that there
is a 95% chance that the confidence interval contains the true mean
of the population"
Is the above statement correct? Why? If it is not correct how
can we re-state the conclusion in order to interpret correctly the
above confidence interval?

A beef rancher randomly sampled 42 cattle from her large herd to
obtain a 95% confidence interval to estimate the mean weight of the
cows in the herd. The interval obtained was (1010, 1321). If the
rancher had used a 90% confidence interval instead, the interval
would have been
(A) wider and would have more precision than the original
estimate
(B) narrower and would have more precision than the original
estimate
(C) wider and would have the same precision as...

Q: A 95% confidence interval for the mean is (102, 106). If we
test Ho: ? = 100 vs. H1: ? ?
100, the p-value will be:
(A) larger than 0.05
(B) smaller than 0.05
(C) larger than 0.01
(D) smaller than 0.01
Q: Suppose you want to conduct a t-test using ? = 0.05. You take
a random sample of size 30
and obtain the sample mean and sample standard deviation. As a
result, you fail to reject the...

please provide detailed explanation for each part of the
question.
We are interested in estimating the mean systolic blood pressure
for female diabetics between the ages of 30 and 34. For the
purposes of this question you may assume that blood pressure in
this population has a normal distribution.
a. A random sample of 10 women is selected from this population.
The average systolic blood pressure in this sample is 130 mmHg. The
sample standard deviation is 9.2 mmHg. Calculate...

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