Question

We want to know if there is a difference between the mean list price of a three bedroom home, , and the mean list price of a four bedroom home, . What is the alternative hypothesis?

Answer 1

Answer:

The alternative hypothesis will state that there is significant difference between the mean list price of a three bedroom home and the mean list price of a four bedroom home.

$H_a:\mu_1-\mu_2\neq 0$

Step-by-step explanation:

This would be an two-sample hypothesis test for the difference between two means.

As we are looking for differences, we are not testing if one population mean is bigger than the other. This will  be a two-tailed test and the alternative hypothesis will have a unequal sign.

The alternative hypothesis will state that there is significant difference between the mean list price of a three bedroom home and the mean list price of a four bedroom home.

This can be written as:

$H_a:\mu_1-\mu_2\neq 0$

meaning that the population means are significantly different.