Mathematics Homework Help

Student Learning Outcomes

• The student will select the appropriate distributions to use in each case.
• The student will conduct hypothesis tests and interpret the results.

Introduction

In this project, you want to test the claim that housing prices in San Marino are higher than in South Pasadena, on average.

Check the real estate listing in San Marino as well as South Pasadena.

Record the sale prices for 35 randomly selected homes recently listed in San Marino. Then record the sales prices for 35 randomly selected homes recently listed in South Pasadena

A good resource would be the real estate site Zillow (Links to an external site.). For this project we will assume that homes come up for sale randomly. 

Let x = price of a home in your county [in US $]

Project Guidelines

Collect the Data

1. Collect all the data and record them in a table of the following format:

Home Prices in San Marino

Home Prices in South Pasadena

Analyze the Data

Complete each of the following statements:

3. Describe the sampling strategy that you used. 

Note: Do not simply state “Stratified Sampling,” for example. You need to explain, in your own words, how you derived the sample data.

2. H0: _________
Ha: _________

3. In words, define the random variable.

4. The distribution to use for the test is _____________.

5. Calculate the test statistic using your data.

6. Calculate the p-value.

7. Do you reject or not reject the null hypothesis? Why?