A sample of 41 observations has a mean of 100 and a population standard deviation of 5. A second sample of 56 has a mean of 97 and a population standard deviation of 6. Conduct az-test about a difference in sample means using a 0.04 significance level and the following hypotheses:

H₀: ₁- ₂= 0

H₁: ₁- ₂

Compute the value of the test statistic.

For full marks your answer should be accurate to at least two decimal places