Question

The Metro Real Estate Association is preparing a pamphlet that they feel might be of interest to prospective home buyers in the Southlake and Northwood areas of the city. One item if interest is the length of time the seller occupied the home. A sample of 17 homes sold recently in Southlake revealed that the mean length of ownership was 9.2 years with a standard deviation of 2.9 years. A sample of 15 homes in Northwood revealed that the mean length of ownership was 7.4 years with a standard deviation of 2.1 years. Can we conclude that the Southlake residents owned their homes for a longer period of time compare to residents in the Northwood area? What is the alternate hypothesis? α = 0.05.

Group of answer choices

µ_Southlake = µ_Northwood

µ_Southlake < µ_Northwood

µ_Southlake ≠ µ_Northwood

µ_Southlake > µ_Northwood

Answer 1

Given :

for Southlake area

n1 = 17

1 = 9.2

s1 = 2.9

For Northwood area

n2 = 15

2 = 7.4

s2 = 2.1

significance level ,

= 0.05

Hypotheses test

null hypothesis is

Ho : southlake =  northwood

alternate hypothesis is

Ha : southlake > northwood

ti 84 output for further conclusion

since p value is less than significance level

so we reject the null hypothesis

therefore we have sufficient evidence to conclude that

the Southlake residents owned their homes for a longer period of time compare to residents in the Northwood area