Project two guidelines and rubric.html competencyin this pr

1. Project Two Guidelines and Rubric.html
Competency
In this project, you will demonstrate your mastery of the
following competency:Apply statistical techniques to address
research problemsPerform hypothesis testing to address an
authentic problem
Overview
In this project, you will apply inference methods for means to
test your hypotheses about the housing sales market for a region
of the United States. You will use appropriate sampling and
statistical methods.
Scenario
You have been hired by your regional real estate company to
determine if your region’s housing prices and housing square
footage are significantly different from those of the national
market. The regional sales director has three questions that they
want to see addressed in the report:Are housing prices in your
regional market higher than the national market average?Is the
square footage for homes in your region different than the
average square footage for homes in the national market?For
your region, what is the range of values for the 95% confidence
interval of square footage for homes in your market?
You are given a real estate data set that has houses listed for
every county in the United States. In addition, you have been
given national statistics and graphs that show the national
averages for housing prices and square footage. Your job is to
analyze the data, complete the statistical analyses, and provide a
report to the regional sales director. You will do so by
completing the Project Two Template located in the What to
Submit area below.

2. Directions
IntroductionPurpose: What was the purpose of your analysis,
and what is your approach?
Define a random sample and two hypotheses (means) to
analyze.Sample: Define your sample. Take a random sample of
100 observations for your region.
Describe what is included in your sample (i.e., states, region,
years or months).Questions and type of test: For your selected
sample, define two hypothesis questions and the appropriate
type of test hypothesis for each. Address the following for each
hypothesis:
Describe the population parameter for the variable you are
analyzing.Describe your hypothesis in your own words.Describe
the inference test you will use.
Identify the test statistic.Level of confidence: Discuss how you
will use estimation and conference intervals to help you solve
the problem.
1-Tailed TestHypothesis: Define your hypothesis.
Define the population parameter.Write null (Ho) and alternative
(Ha) hypotheses.Specify your significance level.Data analysis:
Analyze the data and confirm assumptions have not been
violated to complete this hypothesis test.
Summarize your sample data using appropriate graphical
displays and summary statistics.
Provide at least one histogram of your sample data.In a table,
provide summary statistics including sample size, mean,
median, and standard deviation.Summarize your sample data,
describing the center, spread, and shape in comparison to the
national information.Check the conditions.
Determine if the normal condition has been met.Determine if
there are any other conditions that you should check and
whether they have been met.Hypothesis test calculations:
Complete hypothesis test calculations, providing the appropriate
statistics and graphs.
Calculate the hypothesis statistics.

3. Determine the appropriate test statistic (t).Calculate the
probability (p value).Interpretation: Interpret your hypothesis
test results using the p value method to reject or not reject the
null hypothesis.
Relate the p value and significance level.Make the correct
decision (reject or fail to reject).Provide a conclusion in the
context of your hypothesis.
2-Tailed TestHypotheses: Define your hypothesis.
Define the population parameter.Write null and alternative
hypotheses.State your significance level.Data analysis: Analyze
the data and confirm assumptions have not been violated to
complete this hypothesis test.
Summarize your sample data using appropriate graphical
displays and summary statistics.
Provide at least one histogram of your sample data.In a table,
provide summary statistics including sample size, mean,
median, and standard deviation.Summarize your sample data,
describing the center, spread, and shape in comparison to the
national information.Check the assumptions.
Determine if the normal condition has been met.Determine if
there are any other conditions that should be checked on and
whether they have been met.Hypothesis test calculations:
Complete hypothesis test calculations, providing the appropriate
statistics and graphs.
Calculate the hypothesis statistics.
Determine the appropriate test statistic (t).Determine the
probability (p value).Interpretation: Interpret your hypothesis
test results using the p value method to reject or not reject the
null hypothesis.
Relate the p value and significance level.Make the correct
decision (reject or fail to reject).Provide a conclusion in the
context of your hypothesis.Comparison of the test results: See
Question 3 from the Scenario section.
Calculate a 95% confidence interval. Show or describe your
method of calculation.Interpret a 95% confidence interval.
Final ConclusionsSummarize your findings: Refer back to the

4. Introduction section above and summarize your findings of the
sample you selected.Discuss: Discuss whether you were
surprised by the findings. Why or why not?
What to Submit
To complete this project, you must submit the following:
Project Two Template: Use this template to structure your
report, and submit the finished version as a Word document.
Supporting Materials
The following resources may help support your work on the
project:
Data Set: House Listing Price by Region
Use this data for input in your project report.
Document: National Statistics and Graphs
Use this data for input in your project report.
Use these tutorials for support with the Excel functions you will
use in the project:Tutorial: Random Sampling in ExcelTutorial:
Scatterplots in ExcelTutorial: Descriptive Statistics in
ExcelTutorial: Creating Histograms in Excel
Project Two RubricCriteriaExemplaryProficientNeeds
ImprovementNot EvidentValueIntroduction: PurposeExceeds
proficiency in an exceptionally clear manner (100%)Defines a
random sample and two hypotheses to analyze, and provides a
brief overview of the report (85%)Shows progress toward
proficiency, but with errors or omissions; areas for
improvement may include missing or inaccurate samples or
hypotheses (55%)Does not attempt criterion (0%)5Introduction:
SampleN/ADescribes what is included in the defined random
sample (i.e., states, regions, or the period of time used)
(100%)Shows progress toward proficiency, but with errors or
omissions; areas for improvement may include inaccurate or
very limited descriptions of what is included in the random
sample (55%)Does not attempt criterion (0%)5Introduction:

5. Questions and Type of TestExceeds proficiency in an
exceptionally clear and insightful manner (100%)Defines two
hypothesis questions and the appropriate type of test hypothesis
for each for the defined random samples, addressing the
population parameters for the variables, a description of the
created hypotheses in their own words, and a description of the
inference test to be used (85%)Shows progress toward
proficiency, but with errors or omissions; areas for
improvement may include missing or inaccurate descriptions,
definitions, or questions (55%)Does not attempt criterion
(0%)5Introduction: Level of ConfidenceExceeds proficiency in
an exceptionally clear, insightful, or sophisticated manner
(100%)Discusses how estimation and conference intervals will
be used to help solve the problem (85%)Shows progress toward
proficiency, but with errors or omissions; areas for
improvement may include missing or inaccurate examples of
how estimation and conference intervals will be used to help
solve the problem (55%)Does not attempt criterion (0%)101-
Tailed Test: HypothesisN/ADefines the hypothesis by defining
the population parameter, writing null and alternative
hypotheses, and specifying the significance level (100%)Shows
progress toward proficiency, but with errors or omissions; areas
for improvement may include missing or inaccurate definitions
and specifications (55%)Does not attempt criterion (0%)51-
Tailed Test: Data AnalysisExceeds proficiency in an
exceptionally clear, insightful, or sophisticated manner
(100%)Analyzes the data to confirm that assumptions have not
been violated to complete the hypothesis test, summarizes
sample data using appropriate graphical displays and summary
statistics, and checks the conditions (85%)Shows progress
toward proficiency, but with errors or omissions; areas for
improvement may include inaccurate or insufficient analyses,
summaries, or condition checks (55%)Does not attempt criterion
(0%)51-Tailed Test: Complete Hypothesis Test
CalculationsN/ACompletes the hypothesis test calculation and
provides appropriate statistics and graphs (100%)Shows

6. progress toward proficiency, but with errors or omissions; areas
for improvement may include inaccurate or inappropriate
calculations, statistics, and/or graphs (55%)Does not attempt
criterion (0%)51-Tailed Test: InterpretationExceeds proficiency
in an exceptionally clear, insightful manner (100%)Interprets
hypothesis test results using the p value method to reject or not
reject the null hypothesis by relating the p value and
significance level, making the correct decision to reject or fail
to reject, and providing a contextualized conclusion
(85%)Shows progress toward proficiency, but with errors or
omissions; areas for improvement may include inaccurate or
insufficient interpretations or conclusions (55%)Does not
attempt criterion (0%)52-Tailed Test: HypothesesN/ADefines
the hypothesis by defining the population parameter, writing
null and alternative hypotheses, and stating the significance
level (100%)Shows progress toward proficiency, but with errors
or omissions; areas for improvement may include missing or
inaccurate definitions and specifications (55%)Does not attempt
criterion (0%)52-Tailed Test: Data AnalysisExceeds proficiency
in an exceptionally clear, insightful, or sophisticated manner
(100%)Analyzes the data and confirms assumptions have not
been violated to complete the hypothesis test by summarizing
sample data using appropriate graphical displays and summary
statistics and checking the assumptions (85%)Shows progress
toward proficiency, but with errors or omissions; areas for
improvement may include inaccurate or insufficient analysis,
summaries, or condition checks (55%)Does not attempt criterion
(0%)52-Tailed Test: Hypothesis Test
CalculationsN/ACompletes the hypothesis test calculation by
providing the appropriate statistics and graphs (100%)Shows
progress toward proficiency, but with errors or omissions; areas
for improvement may include inaccurate or inappropriate
calculations, statistics, and/or graphs (55%)Does not attempt
criterion (0%)52-Tailed Test: InterpretationExceeds proficiency
in an exceptionally clear, insightful manner (100%)Interprets
hypothesis test results using the p value method to reject or not

7. reject the null hypothesis by relating the p value and
significance level, making the correct decision to reject or fail
to reject, and providing a contextualized conclusion
(85%)Shows progress toward proficiency, but with errors or
omissions; areas for improvement may include inaccurate or
insufficient interpretations or conclusions (55%)Does not
attempt criterion (0%)102-Tailed Test: Comparison of the Test
ResultsN/ACalculates and interprets a 95% confidence interval
(100%)Shows progress toward proficiency, but with errors or
omissions; areas for improvement may include inaccurate
calculations or interpretations (55%)Does not attempt criterion
(0%)5Final Conclusions: Summarize Your FindingsExceeds
proficiency in an exceptionally clear, insightful, sophisticated
manner (100%)Summarizes findings of selected sample through
the context of Step One (85%)Shows progress toward
proficiency, but with errors or omissions; areas for
improvement may include inaccurate or insufficient
interpretations and/or conclusions (55%)Does not attempt
criterion (0%)10Final Conclusions: DiscussExceeds proficiency
in an exceptionally clear, insightful, or sophisticated, manner
(100%)Discusses whether the findings were surprising and why
(85%)Shows progress toward proficiency, but with errors or
omissions; areas for improvement may include providing more
details and evidence to support the response (55%)Does not
attempt criterion (0%)10Articulation of ResponseExceeds
proficiency in an exceptionally clear, insightful, sophisticated,
or creative manner (100%)Clearly conveys meaning with correct
grammar, sentence structure, and spelling, demonstrating an
understanding of audience and purpose (85%)Shows progress
toward proficiency, but with errors in grammar, sentence
structure, and spelling, negatively impacting readability
(55%)Submission has critical errors in grammar, sentence
structure, and spelling, preventing understanding of ideas
(0%)5Total:100%

8. course_documents/MAT 240 Project Two Template.docx
Regional vs. National Housing Price Comparison Report 2
[Note: To complete this template, replace the bracketed text
with your own content. Remove this note before you submit
your outline.]Report: Regional vs. National Housing Price
Comparison
[Your Name]
Regional vs. National Housing Price Comparison Report 1
Southern New Hampshire University
Introduction
Purpose: [Include in this section a brief overview, the purpose
of the report, and your approach. Define your random sample
and two hypotheses (means) to analyze.]
Sample: [Take a random sample of observations from your
region and describe what is included in your sample (i.e., states,
region, years or months).]
Questions and type of test: [For your selected sample, define
two hypothesis questions and the appropriate type of test
hypothesis for each. For each hypothesis question, answer
questions 3a-c from the Project Two Guidelines and Rubric.
This includes questions about the population parameter, your
hypothesis, the inference method you will use, and how you will
use estimation and confidence intervals to help you solve the
problem.]
1-Tail Test
Hypothesis: [Define the population parameter. Write null and
alternative hypotheses. Note: For means, define a hypothesis
that is greater than the population parameter. Specify your
significance level.]
Data analysis: [Summarize your sample data using appropriate
graphical displays and summary statistics.]
[Provide at least one histogram of your sample data.]
[In a table, provide summary statistics including sample size,

9. mean, median, and standard deviation.]
Note: For quartiles 1 and 3, use the quartile function in Excel:
=QUARTILE([data range], [quartile number])
[Summarize your sample data, describing the center, spread, and
shape in context.]
[Note: For shape, think about the distribution: skewed or
symmetric.]
[Check the assumptions by determining if the normal condition
has been met. Determine if there are any other conditions that
you should check and whether they have been met.]
[Note: Think about the central limit theorem and sampling
methods.]
Hypothesis Test Calculations:
[Determine the appropriate test statistic (t).]
[Note: This calculation is (mean – target)/standard error. In this
case, the mean is your regional mean, and the target is the
national mean.]
[Calculate the probability (p value).]
[Note: This calculation is done with the T.DIST.RT function in
Excel: =T.DIST.RT([test statistic], [degree of freedom]). The
degree of freedom is calculated by subtracting 1 from your
sample size.]
Interpretation:
[Relate the p value and significance level.]
[Make the correct decision (reject or fail to reject).]
[Provide a conclusion in the context of your hypothesis.]
2-Tail Test
Hypotheses: [Define the population parameter. Write null and
alternative hypotheses.]
[Note: For means, define a hypothesis that is not equal to the
population parameter.]
[State your significance level.]
Data Analysis:
[Summarize your sample data using appropriate graphical

10. displays and summary statistics.]
[Provide at least one histogram of your sample data.]
[In a table, provide summary statistics including sample size,
mean, and standard deviation.]
[Note: For quartiles 1 and 3, use the quartile function in Excel:
=QUARTILE([data range], [quartile number]) ]
[Summarize your sample data, describing the center, spread, and
shape in comparison to the national information.]
[Note: For shape, think about the distribution: skewed or
symmetric.]
[Check the assumptions by determining if the normal condition
has been met. Determine if there are any other conditions that
you should check and whether they have been met.]
Note: Think about the central limit theorem and sampling
methods.
Hypothesis Test Calculations:
[Determine the appropriate test statistic (t).]
[Note: This calculation is (mean – target)/standard error. In this
case, the mean is your regional mean, and the target is the
national mean.]
[Calculate the probability (p value).]
[Note: This calculation is done with the TDIST.2T function in
Excel: =T.DIST.RT([test statistic], [degree of freedom]). The
degree of freedom is calculated by subtracting 1 from your
sample size.]
Interpretation:
[Relate the p value and significance level.]
[Make the correct decision (reject or fail to reject).]
[Provide a conclusion in context to your hypothesis.]
Comparison of the Test Results:
[Calculate the 95% confidence interval and show or describe the
method of calculation.]
[Interpret the confidence 95% confidence interval in context.]
Final Conclusions
[Summarize Your Findings: Refer back to Step 1 and summarize
your findings of the sample you selected.]

11. [Discuss: Discuss if you were surprised by the findings
including why or why not.]
course_documents/MAT 240 House Listing Price by
Region.xlsx
New EnglandHouse Listing Price Data by
RegionSource:https://www.realtor.com/research/data/Regional
sample (n = 1000)StateCountyRegionHouse listing priceCost
per square footSquare footageCTlitchfieldNew
England$329,050$1531,888MEpenobscotNew
England$169,500$1031,586NHmerrimackNew
England$299,950$1452,152VTwashingtonNew
England$289,950$1411,959MEyorkNew
England$391,550$2301,719VTwashingtonNew
England$222,500$1351,670NHstraffordNew
England$311,471$1661,885MAsuffolkNew
England$699,050$6471,259MAnorfolkNew
England$642,500$3092,210NHhillsboroughNew
England$339,950$1642,090RIwashingtonNew
England$499,050$2591,871NHbelknapNew
England$289,950$1561,869VTrutlandNew
England$228,800$1171,993RInewportNew
England$579,050$2922,128MAfranklinNew
England$230,050$1331,800MEpenobscotNew
England$157,050$941,600VTwashingtonNew
England$300,050$1541,896MAberkshireNew
England$379,950$1852,032MEkennebecNew
England$187,050$1041,695NHcheshireNew
England$266,550$1321,981VTfranklinNew
England$219,950$1201,750CTnew londonNew
England$290,000$1531,848NHmerrimackNew
England$314,950$1462,174NHmerrimackNew
England$299,950$1402,176NHhillsboroughNew
England$358,950$1732,036CTwindhamNew
England$204,000$1231,615VTwashingtonNew
England$295,050$1471,888CTnew londonNew

12. England$268,500$1591,648CTnew havenNew
England$279,950$1581,724MAplymouthNew
England$491,550$2442,028MAfranklinNew
England$223,800$1351,780NHcheshireNew
England$260,500$1311,838CTnew havenNew
England$279,050$1531,790MEpenobscotNew
England$159,750$1001,588NHgraftonNew
England$259,300$1501,840VTwashingtonNew
England$299,050$1471,850MEyorkNew
England$339,050$2051,772CTnew havenNew
England$272,421$1501,763MAsuffolkNew
England$764,050$6691,341NHgraftonNew
England$253,850$1431,741RInewportNew
England$598,050$2922,170MAmiddlesexNew
England$655,000$2762,400MAfranklinNew
England$299,050$1501,960CTnew londonNew
England$274,950$1211,212RIprovidenceNew
England$279,050$1851,504MAbarnstableNew
England$599,950$3181,920CTlitchfieldNew
England$398,050$1722,268NHbelknapNew
England$295,000$1621,838NHbelknapNew
England$269,950$1531,797MAsuffolkNew
England$799,050$7081,311RIkentNew
England$275,050$1771,524CTnew havenNew
England$258,500$1461,410VTwindsorNew
England$349,050$1582,120CTlitchfieldNew
England$329,950$1501,776NHcheshireNew
England$234,550$1231,845NHcheshireNew
England$258,864$1261,968NHhillsboroughNew
England$341,444$1602,126RIwashingtonNew
England$489,950$2531,812CTmiddlesexNew
England$342,450$1701,874CTnew londonNew
England$294,050$1541,880NHstraffordNew
England$284,950$1551,819MAsuffolkNew
England$774,500$6701,359MAbristolNew
England$385,050$2101,873MAbristolNew

13. England$375,050$2061,880RIkentNew
England$319,950$2041,537MAsuffolkNew
England$722,500$6451,275MAhampdenNew
England$239,950$1451,668MEkennebecNew
England$182,050$1081,678MAsuffolkNew
England$882,550$7601,385VTchittendenNew
England$397,500$1802,162CThartfordNew
England$263,707$1421,850VTwashingtonNew
England$279,050$1521,752NHstraffordNew
England$297,550$1491,852CThartfordNew
England$247,750$1351,452MAbristolNew
England$399,500$2151,847CTnew londonNew
England$317,050$1641,884MAnorfolkNew
England$624,950$2842,303RIbristolNew
England$499,950$2502,234NHrockinghamNew
England$410,050$1902,170NHmerrimackNew
England$279,950$1422,016MAhampdenNew
England$239,950$1451,664NHmerrimackNew
England$283,525$1322,002VTrutlandNew
England$199,950$1111,857MEkennebecNew
England$234,050$1281,768VTchittendenNew
England$379,050$1812,050MEandroscogginNew
England$217,443$1251,679MAhampdenNew
England$244,994$1481,726NHrockinghamNew
England$429,950$1982,066CTlitchfieldNew
England$377,050$1662,185MAhampshireNew
England$325,050$1791,907NHgraftonNew
England$229,050$1271,732CTnew londonNew
England$290,000$1581,680CTfairfieldNew
England$746,550$2872,645VTwashingtonNew
England$297,050$1431,936NHrockinghamNew
England$461,950$2172,099MAplymouthNew
England$509,550$2502,050MEpenobscotNew
England$158,864$991,596MAnorfolkNew
England$597,500$2842,214MAplymouthNew
England$469,050$2352,000VTchittendenNew

14. England$397,086$1902,100RIkentNew
England$274,950$1791,555VTfranklinNew
England$249,050$1311,799MAworcesterNew
England$319,950$1701,881NHcheshireNew
England$226,550$1141,893RIwashingtonNew
England$544,950$2631,817NHrockinghamNew
England$434,950$2102,182MAhampdenNew
England$260,000$1531,749CTwindhamNew
England$215,950$1291,632CTmiddlesexNew
England$339,300$1691,832VTfranklinNew
England$209,050$1281,766MAberkshireNew
England$389,050$1862,010MAhampshireNew
England$369,500$1871,974CTtollandNew
England$265,000$1431,830NHmerrimackNew
England$307,550$1402,195MEpenobscotNew
England$158,550$1001,583NHgraftonNew
England$279,050$1531,840RIwashingtonNew
England$549,950$2741,880MEkennebecNew
England$210,000$1181,798CTmiddlesexNew
England$329,050$1601,978MAberkshireNew
England$387,050$1872,016NHhillsboroughNew
England$333,739$1582,061NHmerrimackNew
England$312,500$1482,214MAberkshireNew
England$379,750$1842,031VTwashingtonNew
England$315,050$1511,900MAmiddlesexNew
England$645,950$2872,237MAfranklinNew
England$247,550$1341,890MAfranklinNew
England$249,950$1481,792VTrutlandNew
England$209,550$1141,843VTchittendenNew
England$366,550$1822,050RIprovidenceNew
England$252,500$1721,483VTchittendenNew
England$377,950$1852,072MAworcesterNew
England$334,950$1791,938MEandroscogginNew
England$192,450$1121,681VTrutlandNew
England$205,050$1061,839MAhampdenNew
England$238,007$1471,678VTchittendenNew

15. England$384,950$1822,104MEyorkNew
England$382,500$2301,742MEkennebecNew
England$189,950$1181,700MAfranklinNew
England$248,500$1481,775MAessexNew
England$577,050$2782,097CTlitchfieldNew
England$332,500$1211,396VTfranklinNew
England$245,050$1311,800NHgraftonNew
England$236,550$1381,705MEyorkNew
England$349,500$2111,762CTnew londonNew
England$292,500$1571,800MAsuffolkNew
England$792,980$7501,263CTfairfieldNew
England$762,550$2922,653MAbarnstableNew
England$585,050$3061,898CTfairfieldNew
England$754,500$2912,774RInewportNew
England$592,500$3231,982MAfranklinNew
England$249,950$1431,902CTmiddlesexNew
England$329,050$1591,988NHmerrimackNew
England$330,050$1472,208MEcumberlandNew
England$389,950$2121,841NHmerrimackNew
England$320,050$1472,158MAhampdenNew
England$229,800$1431,635MAberkshireNew
England$379,050$1862,016MEyorkNew
England$349,950$2161,734MAmiddlesexNew
England$627,450$2952,103CThartfordNew
England$236,800$1411,682MEpenobscotNew
England$149,950$961,550MAbarnstableNew
England$576,049$2991,904CTmiddlesexNew
England$334,950$1631,722VTwashingtonNew
England$254,550$1391,820MEpenobscotNew
England$144,950$921,574MAworcesterNew
England$305,000$1661,845VTrutlandNew
England$229,050$1172,000NHgraftonNew
England$209,050$1241,674RInewportNew
England$580,050$3092,026MAmiddlesexNew
England$619,500$2962,089MEcumberlandNew
England$369,407$2011,823MAhampshireNew

16. England$345,050$1931,778RIwashingtonNew
England$499,050$2581,824VTrutlandNew
England$200,050$1161,882VTwindsorNew
England$349,050$1562,148CTmiddlesexNew
England$330,050$1691,808CTlitchfieldNew
England$338,300$1451,674VTwashingtonNew
England$249,950$1371,800MEpenobscotNew
England$149,550$921,582NHhillsboroughNew
England$375,050$1742,157MAbristolNew
England$419,950$2141,922MAsuffolkNew
England$799,050$7481,267VTrutlandNew
England$239,193$1211,996MAhampshireNew
England$324,500$1791,958MAsuffolkNew
England$759,050$6661,351NHgraftonNew
England$227,050$1271,752MAmiddlesexNew
England$699,050$3142,260NHstraffordNew
England$279,500$1481,872NHcheshireNew
England$249,050$1291,854MEkennebecNew
England$191,000$1071,700MEcumberlandNew
England$347,050$1921,800MAbristolNew
England$350,000$1911,888RIkentNew
England$277,500$1911,518NHbelknapNew
England$304,950$1661,842VTfranklinNew
England$242,500$1321,769CTnew londonNew
England$317,050$1641,900VTfranklinNew
England$215,050$1281,728MEyorkNew
England$379,564$2301,732NHhillsboroughNew
England$348,950$1672,058MAberkshireNew
England$386,550$1852,044MEcumberlandNew
England$349,500$1891,871MAessexNew
England$519,950$2642,000MEyorkNew
England$360,050$2181,765RIprovidenceNew
England$259,950$1711,534VTwindsorNew
England$335,050$1532,158VTwindsorNew
England$299,050$1471,992MAhampdenNew England$237,550