Is the null hypothesis that the following population data fo

Is the null hypothesis that the following population data for group A, 29, 43, 53, 42, 49, 65, 46, 46, 70, has the same mean as data for group B, 60, 60, 72, 76, 83, 96, 66, 77, 73, true or false according to a one-tailed test assuming the group A\'s mean is less than group B\'s mean with an alpha level of 0.05.

True or False?

Solution

As the alternative hypothesis is

Ha: uA - uB < 0

Then the null hypothesis must be

Ha: uA - uB >= 0

which is not Ha: uA-uB = 0, as stated in this problem.

Thus, it is FALSE. [ANSWER, FALSE]