Hello, I need help with applying inference methods for means to test my hypotheses about the housing sales market for a region of the United States. I need to 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:

1.Are housing prices in your regional market higher than the national market average?

2.Is the square footage for homes in your region different than the average square footage for homes in the national market?

3.For your region, what is the range of values for the 95% confidence interval of square footage for homes in your market?

Your job is to analyze the data, complete the statistical analyses, and provide a report to the regional sales director.

What was the purpose of your analysis, and what is your approach? Define a random sample and two hypotheses (means) to analyze. 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. Describe the inference test you will use. Identify the test statistic. Discuss how you will use estimation and conference intervals to help you solve the problem.

15 Share Comments File Home Insert Draw Page Layout Formulas Data Review View Help AutoSum X Cut ab Wrap Text General IX A O Calibri " 11 ~ A" A Fill [B Copy Conditional Format as Cell Insert Delete Format Sort & Find & Analyze Paste BIU YA- E Merge & Center $ ~ % " Clear * Formatting Table Styles Filter * Select v Data Format Painter Alignment Number Styles Cells Editing Analysis Clipboard Font J11 X V O P Q R S A B C D E F G H J K L M N House Listing Price Data by Region Regional sample (n = 1000) W A House Cost per Square 5 State County Region listing price square foot footage OR yamhill Pacific $429,950 $213 2,129 OR yamhill Pacific $439,950 $213 2,198 CA sacramento Pacific $394,391 $232 1,659 9 CA san mateo Pacific $1,301,950 $787 1,735 10 WA grays harbor Pacific $225,000 1,527 11 CA nevada Pacific $497,336 $248 2,271 12 CA alameda Pacific $799,050 $488 1,563 13 CA marin Pacific $1,314,050 $654 2,044 14 WA skagit Pacific $450,050 $236 1,914 15 CA kings Pacific $236,040 $134 1,659 16 CA alameda Pacific $797,050 $485 1,605 17 HI honolulu Pacific $699,050 $539 1,208 18 AK matanuska-s Pacific $270,000 $151 1,820 19 CA san diego Pacific $660,550 $377 1,761 20 CA sutter Pacific $329,950 $176 1,874 21 AK fairbanks no Pacific $222,750 $134 1,665 22 CA kings Pacific $269,950 $152 1,786 23 OR clackamas Pacific $542,475 $225 2,553 24 CA el dorado Pacific $544,550 $269 2,050 25 CA santa clara Pacific $1,254,550 $680 1,940 26 OR polk Pacific $378,040 $172 2,280 27 CA fresno Pacific $325,050 $174 1,863 West South Central Mid Atlantic South Atlantic East North Central East South Central Mountain Pacific West North Central + 4 New England + 100%