MATH399 Week 7 Assignment-Course Project Part I and II Question # 00602517 Subject: Education Due on: 06/25/2019 Posted On: 06/25/2019 12:38 PM Tutorials: 2 Rating: 4.9/5

Course
Project Part I

Required
Resources

Read/review
the following resources for this activity:

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 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 pick a topic, complete research and provide a
write-up that includes calculations. Round all values to two decimal 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
Data—Include a 5×10 table including your 50 values in your report. You must
provide ALL of your sample data.

Problem
Computations—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
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.

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?

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): 6

Due Date:
By 11:59 p.m. MT on Sunday of Week 7

Course
Project Rubric

Criteria

Ratings

Pts

Part I:
Topic & Introduction

4.0 pts

Proficient
Student picks appropriate topic, provides a description of topic and the cites
where data was found.

3.0 pts

Above
Average Student picks appropriate topic and introduces data. No citation.

2.0 pts

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

1.0 pts

Needs
Improvement Students provides topic without descritption and citation.

0.0 pts

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

4.0 pts

Part I:
Sample Data

4.0 pts

Proficient
Student provides ALL 50 pieces of data.

3.0 pts

Above
Average Student provides 30-49 pieces of data.

2.0 pts

Average
Student provides 20 – 29 pieces of data.

1.0 pts

Needs
Improvement Student provides 1-19 pieces of data.

0.0 pts

No Effort.
No Data was provided.

4.0 pts

Part I:
Mean & Standard Deviation

5.0 pts

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

4.0 pts

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

3.0 pts

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

1.0 pts

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

0.0 pts

No Effort.
The mean and sample standard deviation

5.0 pts

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

15.0 pts

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

12.0 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).

10.0 pts

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

6.0 pts

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

0.0 pts

No Effort.
No Confidence Intervals are provided.

15.0 pts

Part I:
Creating a new confidence interval

7.0 pts

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

5.0 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.

4.0 pts

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

3.0 pts

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

0.0 pts

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

7.0 pts

Part I:
Problem Analysis

10.0 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.

8.0 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.

7.0 pts

Average.
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 pts

Needs
Improvement. Majority of the analysis is missing.

0.0 pts

No Effort.
No Problem Anaylsis is provided.

10.0 pts

Part II:
Choose a Data Set & Preliminary Data

5.0 pts

Proficient.
Student computes all 4 Preliminary Data Values.

4.0 pts

Above
Average. Student computes all 3 Preliminary Data Values.

3.0 pts

Average.
Student computes all 2 Preliminary Data Values.

1.0 pts

Needs
Improvement. Student computes all 1 Preliminary Data Values.

0.0 pts

No Effort.
No Preliminary Data

5.0 pts

Part II:
Hypothesis Testing

20.0 pts

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

16.0 pts

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

14.0 pts

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

10.0 pts

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

0.0 pts

No Effort.
No Hypothesis Tests were completed.

20.0 pts

Part II:
Hypothesis Testing Analysis

10.0 pts

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

8.0 pts

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

7.0 pts

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

5.0 pts

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

0.0 pts

No Effort.
No conclusion/explanations were given.

10.0 pts

Part II:
Proposal and computations for new hypothesis test

10.0 pts

Proficient.
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 pts

Proficient.
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 pts

Average.
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 pts

Needs
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 pts

No Effort.
The student did not propose/compute a new hypothesis test.

10.0 pts

Total
Points: 90.0

Required
Resources

Read/review
the following resources for this activity:

Textbook:
Chapter 9

Lesson

Scenario/Summary

This week
you will submit both parts of the course project. You completed Part I in Week
6 and will complete Part II this week. You will submit one word document with
both parts of the project.

Hypothesis
Testing is the use of statistics to determine the probability that a given
claim is true.

In Part II
of this project, you will choose a data set, review claims and perform
hypothesis testing and make a decision. You will then complete a write-up that
includes the calculations.

The
government logs the number of documented births, deaths, marriages and
divorces; however, it is possible to have undocumented cases. In part II of
this project, you are going to test claims about total births, deaths,
marriages and divorces.

Deliverables

Choose a
Data Set.

Go to
https://www.cdc.gov/nchs/products/nvsr.htm (Links to an external site.)

In the
search bar type: Births, Marriages, Divorces, and Deaths

screenshot
of CDC website toolbar

Pick a
DataSet and download the PDF document and make note of the volume, number, and
date. For example you could use the National Vital Statistics Reports,

screenshot
of National Vital Statistics Reports webpage

Pick the
same month/year combination for each data set. For example, choosing September
of 2009.

screenshot
of example dataset

Preliminary
Calculations

Create a
summary table for 1. Live Births, 2. Deaths, 3. Marriages, and 4. Divorces
highlighting the mean, median, sample standard deviation, minimum and maximum
values for each the data sets. You will have FOUR tables using the list of
values of each state, the District of Columbia and Puerto Rico (You will have
52 numbers for each data set).

Summary
Table for _________

Mean

Median

Standard
Deviation

Minimum

Maximum

Hypothesis
Testing

With the
information that you gather from the summary tables, test the following (you
can use excel when appropriate):

Determine
if there is sufficient evidence to conclude the average amount of births is
over 8000 in the United States and territories at the 0.05 level of
significance.

Determine
if there is sufficient evidence to conclude the average amount of deaths is
below is less than or equal to 6000 in the United States and territories at the
0.10 level of significance.

Determine
if there is sufficient evidence to conclude the average amount of marriages is
greater or equal to 7000 in the United States and territories at the .05 level
of significance.

Determine
if there is sufficient evidence to conclude the average amount of divorces is
less than or equal to 4000 in the United States and territories at the 0.10
level of significance.

For each of
the tests above, in your report, be sure to—

Clearly
state a null and alternative hypothesis

Give the
value of the test statistic

Report the
P-Value

Clearly
state your conclusion (Reject the Null or Fail to Reject the Null)

Explain
what your conclusion means in context of the data.

Lastly,
propose and conduct your own test of hypothesis about the Birth, Death,
Marriage and Divorce data that you have been analyzing. Make sure to follow the
five steps above.

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.

Course
Outcomes (CO): 6

Due Date:
By 11:59 p.m. MT on Sunday of Week 7