The results of sampling independent populations:

Sample 1 from population 1

mean 1000

sample standard deviation 400

sample size 50

Sample 2 from population 2

mean 1250

sample standard deviation 500

sample size 75

Test the H0: population1 mean = population 2 mean at = 0.01. HA: population1 mean population 2 mean. This is a two tailed test with both a negative lower critical value and a positive upper critical value. Separate variances is assumed.