Discuss the importance of constructing confidence intervals for the population mean.

What are confidence intervals?

What is a point estimate?

What is the best point estimate for the population mean? Explain.

Why do we need confidence intervals?

Find the best point estimate of the population mean.

Construct two confidence intervals for the population mean: a 95% confidence interval and a 99% confidence interval. Assume that your data is normally

distributed and the population standard deviation is unknown.

Please show your work for the construction of these confidence intervals and be sure to format your equations to fit the appropriate form (may need editing

here).

Write a paragraph that correctly interprets the confidence intervals in context of your selected topic.

Compare and contrast your findings for the 95% and 99% confidence intervals.

Did you notice any changes in your interval estimate? Explain.

What conclusion(s) can be drawn about your interval estimates when the confidence level is increased? Explain.2

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MAT 211 Lessons Rubrics

Mathematical Concepts.

Explanation shows complete understanding of the mathematical concepts used to solve the problem(s).

13points

Explanation shows substantial understanding of the mathematical concepts used to solve the problem(s).

10points

Explanation shows some understanding of the mathematical concepts needed to solve the problem(s).

8points

Explanation shows very limited understanding of the underlying concepts needed to solve the problem(s) OR is not written.

5points

Not Present

0points

Mathematical Reasoning

Uses complex and refined mathematical reasoning.

13points

Uses effective mathematical reasoning

10points

Some evidence of mathematical reasoning.

8points

Little evidence of mathematical reasoning.

5points

Not Present

0points

Mathematical Errors

90-100% of the steps and solutions have no mathematical errors.

13points

Almost all (85-89%) of the steps and solutions have no mathematical errors.

10points

Most (75-84%) of the steps and solutions have no mathematical errors.

8points

More than 75% of the steps and solutions have mathematical errors.

5points

Not Present

0points

Introduction/Thesis

The introduction is inviting. It grabs the reader’s attention and compels him/her to read further. Engaging lead/hook.

13points

The introduction clearly states the main topic and previews the structure of the paper, but is not particularly inviting to the reader.

10points

The introduction states the main topic, but does not adequately preview the structure of the paper nor is it particularly inviting to the reader.

8points

There is no clear introduction of the main topic or structure of the paper.

5points

Not Present