Question

can you give a good example of data that can be model by a normal distribution? and please explain your argument and how it is a normal distribution.

Answer #1

*Example of Normal
distribution-*

Suppose, there are 10000 students in
an university. **Heights of all students** form an
example of Normal distribution.

*Explanation-*

Properties of Normal distribution are followed as follows.

- Height can take any value over certain interval. So, it is a continuous random variable as required in case of Normal distribution.
- Heights of most of the students cluster around mean value and decreases gradually. There are very few heights which are outlier.
- In case of Normal distribution, almost 99.73% of the observation values are present within three standard deviation about mean value. In case of observational values of heights, almost these many portion clusters within three standard deviation about mean value.

Hence, heights of all students of an institution can be treated as Normally distributed random variable.

The normal distribution is a family of distributions that is
often used to model operational processes. Based on your readings
for this module, give one example, different from those supplied in
the overview, of how the normal distribution can be used in an
operations or production environment. This example may be from your
own experience. Be sure to explain how the normal distribution is
used in the example you provide.
** Please show graph of the example**

The normal distribution is a family of distributions that is
often used to model operational processes. Based on your readings
for this module, give one example, different from those supplied in
the overview, of how the normal distribution can be used in an
operations or production environment. This example may be from your
own experience. Be sure to explain how the normal distribution is
used in the example you provide.

Please give an example of an inductive argument. You can give
either an argument by analogy or an inductive generalization.
Please state the sample, target and property in question for
your inductive argument.

Give me a real-life example of
a data distribution that you think is approximately normal, but
with a large spread (i.e. large standard deviation). Use Google or
other research methods to find the mean and standard deviation to
support your claim. What reasons or conditions attribute to the
large variation? (Here's my example: income - some people make
minimum wage, some people make $134M over 4 years. Think of another
example and do some research to find the standard deviation,...

Give me a real-life example of
a data distribution that you think is approximately normal, but
with a large spread (i.e. large standard deviation). Use Google or
other research methods to find the mean and standard deviation to
support your claim. What reasons or conditions attribute to the
large variation? (Here's my example: income - some people make
minimum wage, some people make $134M over 4 years. Think of another
example and do some research to find the standard deviation,...

Generate a data set from a normal distribution. Then you can
apply bootstrap method to the generated data to obtain the
empirical distribution of the coeﬃcient of variation: sample
standard deviation over sample mean, that is cv = s/¯ x. Describe
this distribution. Also please describe the algorithm and attach
the R code

Give an example of a consumption good and an example of an
investment good. Explain why the two are different, as a
macroeconomist would think of them differently. Also, explain why
investment is important for the long term health of an economy.

Give an example of a public good that you personally value.
Explain how it is non-rival and comment on the degree to which it
is non-rival. Explain how it is non-excludable and comment on the
degree to which it is non-excludable. (125 word limit)

What makes a good tool for analyzing and interpreting data? And
why? Give an example.

Can you explain how proof by induction works and give an
example?

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