# MAT240ProjectTwoTemplate.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
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: [Define your Sample. Take a random sample of 100 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:
a. Describe the population parameter for the variable you are analyzing.
c. Describe the inference test you will use.
i. Identify the test statistic.

Level of confidence: Discuss how you will use estimation and conference 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, 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: 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-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.]

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, 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.]

[Discuss: Discuss if you were surprised by the findings including why or why not.]

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