Question

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 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

Interpretation 1: We're 95% confident that the true systolic blood pressure mean lies in the above-mentioned interval.

Interpretation 2: If repeated samples were taken and the 95%
confidence interval was computed for each sample, 95% of the
intervals would contain the population mean.

No, we won't get the same confidence interval, though there is a
95% chance this interval contains the true mean. Thus we can say
that although the intervals may not be the same we're 95% confident
for both samples to contain the true mean.

The 99% confidence interval would be wider. The margin of error will be changed. The critical value is changed due to the confidence level. the ratio of the increase will be given by =1.314

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...

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...

You are given the sample mean and the population 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 55 home theater systems has a mean price of $115.00.
Assume the population standard deviation is $17.70.
1. The 90% confidence interval is?
2. Interpret the results. Choose the correct...

Suppose that a random sample of 50 bottles of a particular brand
of cough syrup is selected and the alcohol content of each bottle
is determined. Let μ denote the average alcohol content for the
population of all bottles of the brand under study. Suppose that
the resulting 95% confidence interval is (7.6, 9.2). (a) Would a
90% confidence interval calculated from this same sample have been
narrower or wider than the given interval? Explain your reasoning.
The 90% would...

You are given the sample mean and the population 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 45 45 home theater systems has a mean price of $ 137.00
137.00. Assume the population standard deviation is $ 16.60 16.60.
Construct a 90% confidence interval for the population...

You are given the sample mean and the population 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 35 home theater systems has a mean price of
$128.00 Assume the population standard deviation is $19.30
Construct a 90% confidence interval for the population
mean.
The 90% confidence interval...

The following questions ask you to construct and compare
a series of confidence intervals.
A. In a representative sample
of 30 students, the mean quiz score was 54 points with a standard
deviation of 2 points. Construct a 95% confidence interval to
estimate the mean quiz score in the population of all
students. [5 points]
B. In a representative sample
of 100 students, the mean quiz score was 54 points with a standard
deviation of 2 points. Construct a 95%...

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...

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...

PROBLEM 3. 15pts Construct the 90 percent Confidence intervals
for the following cases, state any needed assumptions, and give
interpretation n = 9 sample mean = 75 sigma = 5. Find Confidence
interval for mu n= 9 sample mean = 75 S = 5. Find Confidence
interval for mu n= 100 items 40 are defective. Find the confidence
interval of p

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 4 minutes ago

asked 5 minutes ago

asked 7 minutes ago

asked 7 minutes ago

asked 14 minutes ago

asked 14 minutes ago

asked 17 minutes ago

asked 17 minutes ago

asked 22 minutes ago

asked 22 minutes ago

asked 26 minutes ago