MATHS PROJECT

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you will complete a Course Project in this course that will span two weeks. The project is broken into two parts. You will complete Part I in Week 6 and Part II in Week 7. In Week 6, Confidence Intervals will be explored and in Week 7 Hypothesis testing will be explored. 

A confidence interval is a defined range of values such that there is a specified probability that the value of a parameter lies within the interval. 

In Part I of this project, you will analyze data, complete research and provide a write-up that includes calculations.  

Deliverables

1. Your professor will provide you with 50 pieces of data.  Email your professor at the beginning of Week 6 if you did not receive the 50 pieces of data for Course Project Part I.

2. Please complete the provided worksheet.

· Project Part I Worksheet (Links to an external site.)

· Introduction--Provide a description of the data you were provided and discuss what you know about the chosen topic.   

· Sample Data—Provide the 50 data values on your worksheet. You must provide ALL of your sample data. 

· Problem Computations—For the topic, you must answer the following: 

· Determine the mean and standard deviation of your sample. 

· Find the 80%, 95%, and 99% confidence intervals. 

· Make sure to list the margin of error for the 80%, 95%, and 99% confidence interval. 

· Create your own confidence interval (you cannot use 80%, 95%, and 99%) and make sure to show your work. Make sure to list the margin of error. 

· Provide a sentence for each confidence interval created which explains what the confidence interval means in context of topic of your project. 

· Problem Analysis—Write a half-page reflection. 

· What trend do you see takes place to the confidence interval as the confidence level rises? Explain mathematically why that takes place. 

· Explain how Part I of the project has helped you understand confidence intervals better? 

· How did this project help you understand statistics better? 

Required Software

Microsoft Office: Word and Excel

Use a personal copy or access the software at https://application.chamberlain.edu (Links to an external site.).

Grading

This activity will be graded based on the Course Project grading rubric. You can view the rubric below.

Course Outcomes (CO)

· CO6

Due Date

Course Project Part I By 11:59 p.m. MT on Sunday of Week 6

Rubric

Week 6 Project: Part I

Week 6 Project: Part I

Criteria

Ratings

Pts

This criterion is linked to a Learning OutcomePart I: Topic & Introduction

4 pts

Proficient Student provides a detailed description of the assigned topic and references the articles that are assigned to the students to review. Student may add outside references.

3 pts

Above Average Student provides a detailed description of the assigned topic, highlights outside references but does not reference the assigned articles.

2 pts

Average. Student provides a detailed description of topic but does not support description with sources.

1 pts

Needs Improvement Students provides a non-developed description of topic OR Student uses a topic that was not assigned by instructor.

0 pts

No Effort. No topic, descritpion or citation is provided.

4 pts

This criterion is linked to a Learning OutcomePart I: Sample Data

4 pts

Proficient Student provides ALL 50 pieces of data.

3 pts

Above Average Student provides 30-49 pieces of data.

2 pts

Average Student provides 20 - 29 pieces of data.

1 pts

Needs Improvement Student provides 1-19 pieces of data.

0 pts

No Effort. No Data was provided.

4 pts

This criterion is linked to a Learning OutcomePart I: Mean & Standard Deviation

5 pts

Proficient Mean & Sample Standard Deviation of the data set is correct with no rounding error. .

4 pts

Above Average Mean & Sample Standard Deviation of the data set is correct but with rounding error.

3 pts

Average One Value (either mean or sample standsrd deviation) is correct but the other is not correct.

1 pts

Needs Improvement Both the Mean & Sample Standard Deviation are incorrect but it was attempted.

0 pts

No Effort. The mean and sample standard deviation

5 pts

This criterion is linked to a Learning OutcomePart I: Constructing the 80%, 95%, 99% Confidence Intervals

15 pts

Proficient Computes the 80%, 95%, and 99% confidence intervals correclty making sure to note the margin of error for each.

12 pts

Above Average Computes the 80%, 95%, and 99% confidence intervals correclty but is missing margin of errors (or some of the margin of errors are incorrect).

10 pts

Average Computes the 80%, 95%, and 99% confidence intervals but there are some errors in the calculations.

6 pts

Needs Improvement Computes the 80%, 95%, and 99% confidence intervals but all of the values are incorrect. The component was attempted.

0 pts

No Effort. No Confidence Intervals are provided.

15 pts

This criterion is linked to a Learning OutcomePart I: Creating a new confidence interval

7 pts

Proficient. Student computes a confidence interval (not 80%, 95%, 99%) correctly making sure to list the margin of error.

5 pts

Above Average. Student computes a confidence interval (not 80%, 95%, 99%) correctly making sure to list the margin of error but there is rounding error.

4 pts

Average. Student computes a confidence interval (not 80%, 95%, 99%) correctly but does not highlight the margin of error.

3 pts

Needs Improvement Student computes a confidence interval (not 80%, 95%, 99%) but it was not done correctly.

0 pts

No Effort. The student did not create a new confidence interval.

7 pts

This criterion is linked to a Learning OutcomePart I: Problem Analysis

10 pts

Proficient. Student addresses trend that takes place when the confidence level rises. Provides a sentence for each confidence interval created explaining what the confidence interval means in context of the data collected. Provides a reflection for Part I of the project.

8 pts

Above Average. Student addresses trend that takes place when the confidence level rises. Provides sentences for each confidence interval created explaining what the confience interval means in context of the data collected. Does NOT provide a Reflection.

7 pts

Average. Student may or may not address the trend that takes place when the confidence level rises. Provides a sentence for SOME confidence intervals created explaining what the confidence interval means in context of the data collected. A reflection Part I of the project may or may not be provided.

5 pts

Needs Improvement. Majority of the analysis is missing.

0 pts

No Effort. No Problem Anaylsis is provided.

10 pts