Consider the following hypotheses with the given summary statistics from two independent samples. The sampled populations are normally distributed, and the population variances are assumed to be unknown, but unequal.
H₀: the population mean 1 is less or equal to the population mean 2.
H₁: the population mean 1 is greater than the population mean 2.
A statistician wants to determine the reaction of drivers to sudden increase in the price of fuel.
Sample mean. 249 272
Sample standard deviation 33 20
Sample size 10 10
Which of the following statement is correct?

A. The standard error for the different between two population means is 2.3022
B. The degrees of freedom are 20.
C. The rejection region at 1% level of significance is t>1.341.
D. The pooled variances approach is appropriate
E. The 99% confidence interval for the different between the two population means is ( -58.1188; 12.1188)