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(5 points) Choose a population and a quantitative variable which is

approximately normally distributed within this population. Clearly

state your choices in a few sentences.

2. (20 points) Justify why your variable is normally distributed within its

population in a few sentences.

3. (15 points) Guess a value for the population standard deviation σ.

Justify your guess in a few sentences.

4. (20 points) Collect a simple random sample of 20−30 individuals from

your population. Give a detailed description of your sampling method

and justify why it is a simple random sampling method in one to two

paragraphs.

5. (30 points) Compute z-confidence intervals using your sample data,

guess of σ, and confidence levels of 90%, 95%, and 99%. Your work

should include the value of ̄x, your z

∗

-value for each confidence level,

and the actual intervals themselves.

6. (10 points) Explain what these three confidence intervals together tell

you about the value of the population mean μ. Justify your answer in

one to two paragraphs.

Project 2
Math 243 Summer 2019, Casebolt
Instructions:
1. (5 points) Choose a population and a quantitative variable which is
approximately normally distributed within this population. Clearly
state your choices in a few sentences.
2. (20 points) Justify why your variable is normally distributed within its
population in a few sentences.
3. (15 points) Guess a value for the population standard deviation σ.
Justify your guess in a few sentences.
4. (20 points) Collect a simple random sample of 20 − 30 individuals from
your population. Give a detailed description of your sampling method
and justify why it is a simple random sampling method in one to two
paragraphs.
5. (30 points) Compute z-confidence intervals using your sample data,
guess of σ, and confidence levels of 90%, 95%, and 99%. Your work
should include the value of x̄, your z ∗ -value for each confidence level,
and the actual intervals themselves.
6. (10 points) Explain what these three confidence intervals together tell
you about the value of the population mean µ. Justify your answer in
one to two paragraphs.
1
...

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Please find answer.Thank you.

Running head: STAT

1

Project 2

Name

University Name

Course

July 09, 2019

STAT

2

Project 2

The population for the study is the income of the individuals living in the Oregon state of

the US. Thus, the quantitative variable is the individual’s income residing in the Oregon state.

The distribution of income can be said to be approximately normally distributed.

In a normal distribution, the majority of the data points are relatively similar, which occur

on a small range of values (Stephens, 2011). In the lower end and upper end of the data, few

outliers can be found .The graph of the normal distribution comes in the form of bell-shaped and

the mean, median, and mode coincide with the peak of the curve. Here, income can be

considered as having normal distribution as there will be few individuals in the lower and higher

income categories. Further, ...

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