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...

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.

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...

Can i please get detailed answer for this question from my
assignment. it has overall weightage of 9 marks. Thanks
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 with standard deviation
of 11.8 mmHg.
a. A random sample of 10 women is selected from this population.
The average systolic...

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- Which of the following statements is true?
I. For a certain confidence level, you get a higher margin of
error if you reduce your sample size.
II. For a given sample size, increasing the margin of error will
mean higher confidence.
III. For a fixed margin of error, smaller samples will mean
lower confidence.
I only
II only
III only
II and III only
All of them
----------------------------------
2- Which must be true about a 90% confidence interval based...

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...

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