Question

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 a 95% confidence interval for , the mean systolic blood pressure in the population of female diabetics aged 30 to 34.

b. Provide a formal interpretation of your confidence interval in a) in words. (What does “95% confidence” mean?)

c. Can you determine how large the random sample of women would need to be for a 99% confidence interval to have a total width of 10 mmHg? If so, provide the sample size. If not, explain why.

Answer #1

a) Confidence interval, CI = Z*

n = 10

= 130 mmHg

s = 9.2 mmHg

For 95% confidence level, Z* = 1.96

CI = 130 1.96 x

= 130 5.70

= **(124.30, 135.70)**

b) We are 95% confident that the mean systolic blood pressure for female diabetics between the ages of 30 and 34 will be within the interval (124.30, 135.70)

c) If the total width of confidence interval = 10,

Margin of error, E = 10/2 = 5

E = Z*

For 99% CI, Z* = 2.576

5 = 2.576 x

= 4.8944

n = 24

For a 99% confidence interval to have a total width of 10 mmHg,
the sample size required is **24**.

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 have data from a sample of 65 workers
at a local factory who are full time employees. The mean systolic
blood pressure of this sample 120. You know that
the population standard deviation (?) of all workers' systolic
blood pressure at the local factory is
18."
Which of the below represents the best
interpretation of the 95% confidence
interval you calculated on the previous question for the
unknown population mean systolic blood pressure of local factory
workers who are...

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...

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...

3. We are interested in estimating the mean annual income of
adults in Sweetwater County. To accomplish this, we select a random
sample of 65 adults residing in the county. We find that the sample
mean is $47,250, and we know from the previous studies that the
population standard deviation is $3,555. a) Calculate a 95%
confidence interval for the population mean, and interpret the
result. B) Calculate a 99% confidence interval for the population
mean, and interpret the result....

We are interested in estimating the mean amount of rain last
month in our county. It is known that the population standard
deviation is 1.5 inches generally for the month of interest. 49
instruments that measure rainfall were placed throughout the county
randomly. The sample mean from the instruments was 5.2 inches.
Calculate a 95% confidence interval for the population mean of
rainfall last month in the county. [Reference: Table A: Standard
Normal Probabilities]
4.78 to 5.62
4.85 to 5.55...

An experimenter is interested in estimating the dairy intake for
males in a population. She took a random sample of 100 males and
found the sample mean to be 755 grams per day and standard
deviation to be 30 grams. . Round your solution to two significant
digits after decimal.
a. Compute a 95% confidence interval for the
mean gram intake of dairy products for males in the population. (8
points)
b. Interpret the confidence interval obtained
in part a....

R Studio Suppose systolic blood pressure of adults has a normal
distribution with mean 130 and standard deviation 35. Research
question: Do statistics teachers have a higher average systolic
blood pressure than 130? A random sample of 100 statistics teachers
is obtained and the mean is 135. (The population standard deviation
is known, so we use Z for critical values.)
Solve the using the Confidence Interval Hypothesis Test approach
and t.test() Approach. Use the Pima.tr data set to evaluate the...

Suppose a researcher is interested in answering the following
question: Is there a difference between the mean body temperatures
for men and women? He collects data on body temperature and gender
from a random sample of 130 men and women. The data collected is
shown in the table below. Calculate a 95% confidence interval to
answer the researcher’s question.
Mean
Standard Deviation
Sample Size
Males
98.105
0.699
65
Females
98.394
0.743
65
Based on your confidence interval, is there a...

QUESTION PART A: The effectiveness of a blood-pressure drug is
being investigated. An experimenter finds that, on average, the
reduction in systolic blood pressure is 66.8 for a sample of size
638 and standard deviation 5.7.
Estimate how much the drug will lower a typical patient's systolic
blood pressure (using a 95% confidence level).
Enter your answer as a tri-linear inequality accurate to one
decimal place (because the sample statistics are reported accurate
to one decimal place).
QUESTION PART B:...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 3 minutes ago

asked 3 minutes ago

asked 6 minutes ago

asked 10 minutes ago

asked 10 minutes ago

asked 10 minutes ago

asked 11 minutes ago

asked 11 minutes ago

asked 14 minutes ago

asked 14 minutes ago

asked 14 minutes ago