MATH399: Course Project Part I: Chapter 8 Week 7 Confidence Intervals Essay Solution

Course Project Part I: Confidence Intervals

Required Resources

Read/review the following resources for this activity:

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Textbook: Chapter 8
Lesson

Scenario/Summary

You will complete a Course Project in this course that will span two weeks. The final project is due the Sunday of Week 7. The project is broken into two parts and it would be most effective to complete Part I in Week 6 and Part II in Week 7. In Week 6, Confidence IntervalsÂ will be explored a nd 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 willÂ pick a topic , complete research and provide a write-up that includes calculations. Round all values toÂ two decimalÂ places when appropriate.

Deliverables

Choose a Topic where you can gather at least 50 pieces of data.

Examples of Topics

The Golden Gate Warriors Points Per Game in 2016 (use the points scored in the first 50 games).
High School Graduation Rates by State (use the graduation rates for all 50 states)
Average Tuition Rates in the US (You have to find the tuition rates of 50 college/universities).
The prices of a hotel room per night in a major city (You have to find the price of the same night of hotels in one city).
Weights of 50 babies at birth.

Write at least a 1-Page Report

Open a Word Document

Introduction–Provide a description of your topic and cite where you found your data.
Sample Dataâ€”Include a 5×10 table including your 50 values in your report. You must provide ALL of your sample data.
Problem Computationsâ€”For the topic you chose, 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.

Problem Analysisâ€”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.
Provide a sentence for each confidence interval created in part c) which explains what the confidence interval means in context of topic of your project.
Explain how Part I of the project has helped you understand confidence intervals better?
How did this project help you understand statistics better?

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Required Software

Microsoft Office: Word and Excel

Use a personal copy or access the software atÂ https://application.chamberlain.eduÂ (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 Project Rubric

Criteria

Ratings

Pts

Part I: Topic & Introduction

4.0 pts

3.0 ptsAbove Average Student picks appropriate topic and introduces data. No citation.

2.0 ptsAverage. Student does not pick a topic that is appropriate for the project, introduces the data but does not cite source.

1.0 ptsNeeds Improvement Students provides topic without descritption and citation.

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

4.0 pts

Part I: Sample Data

4.0 ptsProficient Student provides ALL 50 pieces of data.

3.0 ptsAbove Average Student provides 30-49 pieces of data.

2.0 ptsAverage Student provides 20 – 29 pieces of data.

1.0 ptsNeeds Improvement Student provides 1-19 pieces of data.

0.0 ptsNo Effort. No Data was provided.

4.0 pts

Part I: Mean & Standard Deviation

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

4.0 ptsAbove Average Mean & Sample Standard Deviation of the data set is correct but with roujnding error.

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

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

0.0 ptsNo Effort. The mean and sample standard deviation

5.0 pts

Part I: Constructing the 80%, 95%, 99% Confidence Intervals

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

12.0 ptsAbove 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).

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

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

0.0 ptsNo Effort. No Confidence Intervals are provided.

15.0 pts

Part I: Creating a new confidence interval

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

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

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

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

0.0 ptsNo Effort. The student did not create a new confidence interval.

7.0 pts

Part I: Problem Analysis

10.0 ptsProficient. 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.

8.0 ptsAbove 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.

7.0 ptsAverage. Student may or may not address the trend that takes place when the confidence level rises. Provides a sentence for SOME confidence intervaSl 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.

5.0 ptsNeeds Improvement. Majority of the analysis is missing.

0.0 ptsNo Effort. No Problem Anaylsis is provided.

10.0 pts

Part II: Choose a Data Set & Preliminary Data

5.0 ptsProficient. Student computes all 4 Preliminary Data Values.

4.0 ptsAbove Average. Student computes all 3 Preliminary Data Values.

3.0 ptsAverage. Student computes all 2 Preliminary Data Values.

1.0 ptsNeeds Improvement. Student computes all 1 Preliminary Data Values.

0.0 ptsNo Effort. No Preliminary Data

5.0 pts

Part II: Hypothesis Testing

20.0 ptsProficient. Completes 4 Hypothesis Tests highlighting the null/alternate hypothesis, value of test statistic, and report p-value.

16.0 ptsAbove Average. Completes 3 Hypothesis Tests highlighting the null/alternate hypothesis, value of test statistic, and report p-value.

14.0 ptsAverage. Completes 2 Hypothesis Tests highlighting the null/alternate hypothesis, value of test statistic, and report p-value.

10.0 ptsNeeds Improvement: Completes 1 Hypothesis Test highlighting the null/alternate hypothesis, value of test statistic, and report p-value.

0.0 ptsNo Effort. No Hypothesis Tests were completed.

20.0 pts

Part II: Hypothesis Testing Analysis

10.0 ptsProficient. State correct conclusion (Reject/Fail to Reject) and valid explanations in context of the data for ALL 4 Problems.

8.0 ptsAbove Average. State correct conclusion (Reject/Fail to Reject) and valid explanations in context of the data for 3 Problems.

7.0 ptsAverage. State correct conclusion (Reject/Fail to Reject) and valid explanations in context of the data for 2 Problems.

5.0 ptsNeeds Improvement. State correct conclusion (Reject/Fail to Reject) and valid explanations in context of the data for 1 Problem

0.0 ptsNo Effort. No conclusion/explanations were given.

10.0 pts

Part II: Proposal and computations for new hypothesis test

10.0 ptsProficient. Student creates an original Hypothesis Test based on one of the data sets highlighting the null/alternate hypothesis, value of test statistic, report p-value, conclusion and explanation.

8.0 ptsProficient. Student creates an original Hypothesis Test based on one of the data sets correclty and has MOST of the content: highlighting the null/alternate hypothesis, value of test statistic, report p-value, conclusion and explanation.

7.0 ptsAverage. Student creates an original Hypothesis Test based on one of the data sets and MISSING MOST of the content: highlighting the null/alternate hypothesis, value of test statistic, report p-value, conclusion and explanation.

5.0 ptsNeeds Improvement. Student creates an original Hypothesis Test based on one of the data sets but there are multiple mistakes and/or conclusions are not valid.

0.0 ptsNo Effort. The student did not propose/compute a new hypothesis test.

10.0 pts

Total Points: 90.0

MATH399: Course Project Part I: Chapter 8 Week 7 Confidence Intervals Essay Solution

Course Project Part I: Confidence Intervals

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