Question

1. A company takes a sample of people in two sections of the city, the South Bronx (SOBRO) and the North Bronx (NOBRO). The company believes that the north and south Bronx have the same cost per month of rent for a one bedroom. The company first takes a sample of 30 students from the south Bronx and a sample of 20 students from the North Bronx. They found that the students from the South Bronx pays an average of 2200 dollars a month for their apartment with a standard deviation of 200 for a one bedroom. The sample from North Bronx pay an average of 1700 dollars a month for a one bedroom with the standard deviation of 150 dollars. Assume the populations are normally distributed and the population variances are equal. Use a alpha for .05 for the study.
   1. What is the null and alternative hypotheses? (2)
   2. What is the standard deviation for the problem? (3)
   3. What is the distribution we use for this problem (1)
   4. What is the degree of freedom for this problem, Why? (2)
   5. Do we reject of accept the null hypotheses? Please interpret it in the context of the problem

Answer 1

There is sufficient evidence to support the claim that the north and south Bronx have the same cost per month of rent for a one bedroom.