A sample of 44 observations is selected from one population with a population standard deviation of 4. The sample mean is 102.

A sample of 44 observations is selected from one population with a population standard deviation of 4.9. The sample mean is 102.0. A sample of 45 observations is selected from a second population with a population standard deviation of 3.8. The sample mean is 100.6. Conduct the following test of hypothesis using the 0.02 significance level.

H0 : μ1 = μ2H1 : μ1 ≠ μ2

a) This is a ONE OR TWO -tailed test?

b) State the decision rule. (Negative values should be indicated by a minus sign. Round your answer to 2 decimal places.)