Real Estate Stats Confidence Interval

Assume you have a real estate investor client who wants you to answer some specific questions about housing in the neighborhood encompassed by the 5 townships in your Real Estate Data Set. Further assume that you have collected this random sample in an effort to answer your client's questions using statistical tools.:

1. Describe the typical house using descriptive statistical techniques by analysis of the mean, standard deviation, 95% confidence interval, and sample size adequacy for the following variables:
Selling Price
Number of bedrooms
Number of Bathrooms
Square feet of house
Distance from city center
2. A local real estate firm Dewey, Cheatem, and Howe, Real Estate Company, has told your client that the average house in this area is valued at $260,000. Your client wants you to evaluate this claim using a One Sample t Test For The Mean.
3. Is there a relationship between sales price and whether or not there is a swimming pool? A garage? Use a Two Sample t to answer these two questions.
4. Your client wants to know the probability of a house selling for less than $200,000 and the probability of a house selling for over $300,000.
5. Your client wants information on square footage as it relates to price. Divide the square footage into two categories, large square footage and small square footage. Determine if there is a statistically significant difference between the selling price of large square footage houses and low square footage houses. This would be a two sample comparison.