Question

The cholesterol content of large chicken eggs is normally distributed with a mean of 200 milligrams and a standard deviation of 15 milligrams.

How many milligrams of cholesterol is in an egg if 33% of the eggs have higher cholesterol content than the egg? Label a sketch of the distribution, corresponding shaded areas, and documented calculator commands.

Answer #1

The cholesterol content of large chicken eggs is normally
distributed with a mean of 187 milligrams and standard deviation 15
milligrams.
Use this information to answer the below by filling in the
blanks.
a. What is the probability one
of these eggs is between 186 and 200?
b. Seventy-five percent of these eggs have
cholesterol content less than ______

The cholesterol content of large chicken eggs is normally
distributed with a mean of 187 milligrams and standard deviation 15
milligrams. Use this information to answer the questions below.
Round your answer to two decimal places.
a. What is the probability one of these eggs is between 186 and
200?
b. Suppose six eggs are randomly chosen from this population of
eggs. What is the probability the average milligrams of cholesterol
of the sample be less than 200 milligrams?
c....

The 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) If a single egg is selected, what is the probability that the
cholesterol content will be between 200 and 218 milligrams?
b) If a sample of 20 eggs is selected, what is the probability
the mean of the sample will be greater than 200 milligrams?

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 content for 25
eggs is between 210 and 220.
(c) Find the 75th percentile for the average cholesterol content
for 25 eggs.
(d) If we are told the average for...

A laboratory tested 89 chicken eggs and found that the mean
amount of cholesterol was 192 milligrams. Assume that sigma equals
15.2 milligrams. Construct a 95% confidence interval for the true
mean cholesterol content, mu, of all such eggs. Round to one
decimal place.
A. 189.3 to 194.7 milligrams B. 188.8 to 195.2 milligrams C.
188.2 to 195.8 milligrams D. 187.8 to 196.2 milligrams
Part 2:
Thirty randomly selected students took the calculus final. If
the sample mean score was...

A
laboratory tested twelve chicken eggs and found that the mean
amount of cholesterol was 208 milligrams with s = 18.2 milligrams.
Construct a 95 percent confidence interval for the true mean
cholesterol content of all such eggs.
The mean replacement time for a random sample of 20 washing
machines is 11.0 years and the standard deviation is 2.5
yearsConstruct a 99 % confidence interval for the standard
deviation , o, of the replacement times of all washing machines of...

18)
A laboratory tested 73 chicken eggs and found that the mean
amount of cholesterol was 230 milligrams with Η=17.4 milligrams.
Construct a 95% confidence interval for the true mean cholesterol
content, μ,of all such eggs. A)227mg<μ<235mg
B)226mg<μ<234mg C)225mg<μ<233mg
D)225mg<μ<234mg

The nicotine content in cigarettes of a certain brand is
normally distributed with mean (in milligrams) μ and
standard deviation σ=0.1. The brand advertises that the
mean nicotine content of their cigarettes is 1.5 mg. Now, suppose a
reporter wants to test whether the mean nicotine content is
actually higher than advertised. He takes measurements from a SRS
of 10 cigarettes of this brand. The sample yields an average of
1.55 mg of nicotine. Conduct a test using a significance...

The total cholesterol values for a certain population are
approximately normally distributed with a mean of 200 ??/100?? and
a standard deviation of 20 ??/100??. Find the total cholesterol
values corresponding to the first quartile, the second quartile and
the third quartile for this population.

The total cholesterol levels of a sample of men aged 35-44 are
normally distributed with a mean of
200 milligrams per deciliter and a standard deviation of 38.8
milligrams per deciliter.
(a) What percent of the men have a total cholesterol level less
than 236 milligrams per deciliter of blood?
(b) If 247 men in the 35-44 age group are randomly selected,
about how many would you expect to have a total cholesterol level
greater than
255 milligrams per deciliter...

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