Question
State County Region House listing price Cost per square foot Square footage CT litchfield New England $329,050 $153 1,888 ME penobscot New England $169,500 $103
State County Region House listing price Cost per square foot Square footage
CT litchfield New England $329,050 $153 1,888
ME penobscot New England $169,500 $103 1,586
NH merrimack New England $299,950 $145 2,152
VT washington New England $289,950 $141 1,959
ME york New England $391,550 $230 1,719
VT washington New England $222,500 $135 1,670
NH strafford New England $311,471 $166 1,885
MA suffolk New England $699,050 $647 1,259
MA norfolk New England $642,500 $309 2,210
NH hillsborough New England $339,950 $164 2,090
RI washington New England $499,050 $259 1,871
NH belknap New England $289,950 $156 1,869
VT rutland New England $228,800 $117 1,993
RI newport New England $579,050 $292 2,128
MA franklin New England $230,050 $133 1,800
ME penobscot New England $157,050 $94 1,600
VT washington New England $300,050 $154 1,896
MA berkshire New England $379,950 $185 2,032
ME kennebec New England $187,050 $104 1,695
NH cheshire New England $266,550 $132 1,981
VT franklin New England $219,950 $120 1,750
CT new london New England $290,000 $153 1,848
NH merrimack New England $314,950 $146 2,174
NH merrimack New England $299,950 $140 2,176
NH hillsborough New England $358,950 $173 2,036
CT windham New England $204,000 $123 1,615
VT washington New England $295,050 $147 1,888
CT new london New England $268,500 $159 1,648
CT new haven New England $279,950 $158 1,724
MA plymouth New England $491,550 $244 2,028
MA franklin New England $223,800 $135 1,780
NH cheshire New England $260,500 $131 1,838
CT new haven New England $279,050 $153 1,790
ME penobscot New England $159,750 $100 1,588
NH grafton New England $259,300 $150 1,840
VT washington New England $299,050 $147 1,850
ME york New England $339,050 $205 1,772
CT new haven New England $272,421 $150 1,763
MA suffolk New England $764,050 $669 1,341
NH grafton New England $253,850 $143 1,741
RI newport New England $598,050 $292 2,170
MA middlesex New England $655,000 $276 2,400
MA franklin New England $299,050 $150 1,960
CT new london New England $274,950 $121 1,212
RI providence New England $279,050 $185 1,504
MA barnstable New England $599,950 $318 1,920
CT litchfield New England $398,050 $172 2,268
NH belknap New England $295,000 $162 1,838
NH belknap New England $269,950 $153 1,797
MA suffolk New England $799,050 $708 1,311
RI kent New England $275,050 $177 1,524
CT new haven New England $258,500 $146 1,410
VT windsor New England $349,050 $158 2,120
CT litchfield New England $329,950 $150 1,776
NH cheshire New England $234,550 $123 1,845
NH cheshire New England $258,864 $126 1,968
NH hillsborough New England $341,444 $160 2,126
RI washington New England $489,950 $253 1,812
CT middlesex New England $342,450 $170 1,874
CT new london New England $294,050 $154 1,880
NH strafford New England $284,950 $155 1,819
MA suffolk New England $774,500 $670 1,359
MA bristol New England $385,050 $210 1,873
MA bristol New England $375,050 $206 1,880
RI kent New England $319,950 $204 1,537
MA suffolk New England $722,500 $645 1,275
MA hampden New England $239,950 $145 1,668
ME kennebec New England $182,050 $108 1,678
MA suffolk New England $882,550 $760 1,385
VT chittenden New England $397,500 $180 2,162
CT hartford New England $263,707 $142 1,850
VT washington New England $279,050 $152 1,752
NH strafford New England $297,550 $149 1,852
CT hartford New England $247,750 $135 1,452
MA bristol New England $399,500 $215 1,847
CT new london New England $317,050 $164 1,884
MA norfolk New England $624,950 $284 2,303
RI bristol New England $499,950 $250 2,234
NH rockingham New England $410,050 $190 2,170
NH merrimack New England $279,950 $142 2,016
MA hampden New England $239,950 $145 1,664
NH merrimack New England $283,525 $132 2,002
VT rutland New England $199,950 $111 1,857
ME kennebec New England $234,050 $128 1,768
VT chittenden New England $379,050 $181 2,050
ME androscoggin New England $217,443 $125 1,679
MA hampden New England $244,994 $148 1,726
NH rockingham New England $429,950 $198 2,066
CT litchfield New England $377,050 $166 2,185
MA hampshire New England $325,050 $179 1,907
NH grafton New England $229,050 $127 1,732
CT new london New England $290,000 $158 1,680
CT fairfield New England $746,550 $287 2,645
VT washington New England $297,050 $143 1,936
NH rockingham New England $461,950 $217 2,099
- 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?
Introduction
- Purpose: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 followingfor 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-Tail Test
- Hypothesis: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.
- Determine the appropriate test statistic (t).
- Calculate the probability (pvalue).
- Interpretation:Interpret your hypothesis test results using the p value method to reject or not reject the null hypothesis.
- Relate thepvalue 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 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 (pvalue).
- Interpretation:Interpret your hypothesis test results using thepvalue method to reject or not reject the null hypothesis.
- Relate thepvalue 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 Conclusions
- Summarize your findings:Refer back to the 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?
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