The population of Group A and Group B is known to have a mean difference of -10.1.

You take a sample from Group A and Group B.

Group A has a population standard deviation of 8.2

nA = 42

Group B has a population standard deviation of 8.4

nB = 44

On average, how far do you expect your sample mean difference to be from the population mean difference?

What is the probability of getting a mean difference as extreme as -12?

What is the standard score for the mean difference of -12?

What is the probability of getting a mean difference as extreme as -8?

What is the standard score for the mean difference of -8?

What percent of sample mean differences are between -11 and -9?