Question
In: Statistics and Probability
2. (25pts) The decrease in cholesterol level after eating a certain brand of oatmeal for breakfast...
2. (25pts) The decrease in cholesterol level after eating a certain brand of oatmeal for breakfast for one month in people with cholesterol levels is Normally distributed. A random sample of 25 adults was selected and mean 8.5 and standard deviation 3. The brand advertises that eating its oatmeal for breakfast daily for one month will produce a mean decrease in cholesterol of more than 10 units for people with cholesterol levels. (α= 0.05)
c. Report a 95% one-sided confidence interval for the mean decrease in cholesterol.
d. What is the power of the test?
Solutions
orchestra answered 1 year agoRelated Solutions
The decrease in cholesterol level after eating a certain brand of oatmeal for breakfast for one...
The decrease in cholesterol level after eating a certain brand
of oatmeal for breakfast for one month in people with cholesterol
levels is Normally distributed. A random sample of 25 adults was
selected and mean 8.5 and standard deviation 3. The brand
advertises that eating its oatmeal for breakfast daily for one
month will produce a mean decrease in cholesterol of more than 10
units for people with cholesterol levels. (α = 0.05)
a. Is there enough evidence to suggest...
(8) It has been long believed that eating oatmeal regularly lowers blood cholesterol. To test this...
(8) It has been long believed that eating oatmeal regularly
lowers blood cholesterol. To test this claim, a scientist with the
FDA measured the change in blood cholesterol levels of a randomly
chosen sample of 25 people of a certain age group (who ate oatmeal
for breakfast for a month) and found a sample-average reduction of
15 points with a standard deviation of 6 points. Is it believable
at a 5% significance level that the population-mean reduction in
all people...
A cholesterol level over 200 is considered high. The manufacturers of a certain brand of cereal...
A cholesterol level over 200 is considered high. The
manufacturers of a certain brand of cereal are interested in
whether eating their cereal for breakfast daily will result in a
decrease in cholesterol levels for people with high cholesterol.
They randomly select ten people with high cholesterol to
participate in the study. Each subject eats the cereal every
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“Investigators wishes to know if eating dark chocolate is associated with better cholesterol level in the...
“Investigators wishes to know if
eating dark chocolate is associated with better cholesterol level
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‘Propose an epidemiological study design to explore this
question and justify why you chose this design? ‘[4
Marks]
‘Assuming you are one of the investigators – please provide a
short description about the participants in the study, what data
you will need to collect to answer your research question and at
which time point you collect this...
Some boxes of a certain brand of breakfast cereal contain a card with an access code...
Some boxes of a certain brand of breakfast cereal contain a card
with an access code for a free month of a particular entertainment
streaming service. The company that makes the cereal claims that
the access code can be found in 20% of the boxes. However, based on
their experiences consuming the cereal, a group of students
believes that the proportion of boxes which contain access codes is
less than 20%. The group of students purchases 40 boxes of cereal...
The population average cholesterol content of a certain brand of egg is 215 milligrams, and the...
The population average cholesterol content of a certain brand of
egg is 215 milligrams, and the standard deviation is 15 milligrams.
Assume the variable is normally distributed.
(a) Find the probability the cholesterol content for a single
egg is between 210 and 220.
(b) Find the probability the average cholesterol contentfor 25
eggs is between 210 and 220.
(c) Find the third quartile for the average cholesterol content
for 25 eggs.
(d) If we are told the average for 25...
The population average cholesterol content of a certain brand of egg is 215 milligrams, and the...
The population average cholesterol content of a certain brand of
egg is 215 milligrams, and the standard deviation is 15 milligrams.
Assume the variable is normally distributed.
i) Find the third quartile for the average cholesterol content
for 25 eggs.
ii)If we are told the average for 25 eggs is less than 220 mg,
what is the probability that the average is less than 210.
The US Poultry & Egg association claims that eating 2 eggs every morning for breakfast will...
The US Poultry & Egg association claims that eating 2 eggs
every morning for breakfast will increase (i.e. improve) your
High-density lipoprotein (HDL) cholesterol levels. To test their
claim, you conduct an experiment on 10 randomly chosen subjects.
For 12 weeks they eat 2 eggs for breakfast every morning, after
which you measure their HDL level. Then they eat just toast for
breakfast every morning for 12 weeks after which you measure their
HDL level. The results are in the...
A study wants to know whether eating oat bran lowers serum cholesterol level. Suppose eight people...
A study wants to know whether eating oat bran lowers serum
cholesterol level. Suppose eight people participate the study. The
participants are given the diet of corn flake for two weeks and the
cholesterol levels are measured. Then the participants are given
the diet of oat bran for two weeks and the cholesterol levels are
measured. The results are in the following table:
Participant’s ID
Corn flake (mmol/L)
Oat bran (mmol/L)
1
4.69
3.78
2
6.45
5.37
3
5.96
5.89...
A report states that the total cholesterol level of children between the ages of 2 and...
A report states that the total cholesterol level of children
between the ages of 2 and 6 years is approximately normally
distributed with a mean of 192 mg/dL (milligrams per deciliter) and
a standard deviation of 27 mg/dL. Please answer all the
questions.
a) What is the probability that one randomly selected child
between the ages of 2 and 6 years has a total cholesterol level
between 150 mg/dL and 200 mg/dL?
b) What is the probability that of 7...
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