Hypothesis testing for difference between two population means.
Two independent samples were taken from two populations with the following results:
Sample 1

Sample 2

Sample size = 48

Sample size = 39

Mean = 15

Mean = 11

Population standard deviation = 1.8

Population standard deviation = 2.9

For the hypothesis test:
H0 : μ1  μ2 ≤ 1
H0 : μ1  μ2 > 1
a. What is the standard error of the difference between means?
b. What is the value of test statistic?