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 interpretation? α = 0.05.

Group of answer choices

There is enough evidence to prove that Southlake residents owned homes for a shorter period of time than Southlake residents

There is not enough evidence to prove that Southlake residents owned homes for a longer period of time than Northwood residents

There is enough evidence to prove that Northwood residents owned homes for a longer period of time than Southlake residents

There is enough evidence to prove that Southlake residents owned homes for a significantly different period of time than Southlake residents

There is enough evidence to prove that Southlake residents owned homes for a longer period of time than Northwood residents

Answer 1

The correct option is:

There is enough evidence to prove that Northwood residents owned homes for a longer period of time than Southlake residents

south	north
9.2	7.4	mean
2.9	2.1	std. dev.
17	15	n
	28	df
	1.8000	difference (south - north)
	0.8881	standard error of difference
	0	hypothesized difference
	2.027	t
	.0261	p-value (one-tailed, upper)

Since p value<alpha(0.05). We reject the null hypothesis