A) Consider the following hypothesis statement using 0.05 and data from two independent samples:

H0: 1=2 and Ha: 12

x₁= 22, 1=5.71 and n = 42

x₂ = 25, 2= 5.6 and n = 42.

Assume the samples are independent and normally distributed with equal variance.

Calculate the pooled variance.

Round to 2 decimal places your final answer.

B) Consider the following hypothesis statement using 0.05 and data from two independent samples:

H0: 1=2 and Ha: 12

x₁= 22, 1=5.6 and n = 33

x₂ = 22, 2= 5.70 and n = 46.

Assume the samples are independent and normally distributed with equal variance.

Calculate the standard error of the mean.

Round to 3 decimal places your final answer.