A sample of 40 observations is selected from one population with a population standard deviation of 5. The sample mean is 102. A sample of 50 observations is selected from a second population with a population standard deviation of 6. The sample mean is 99. Conduct the following test of hypothesis using the 0.04 significance level.

H₀:₁=₂

H₁:₁₂

a.Is this a one-tailed or a two-tailed test?

One-tailed test

A. One-tailed test

B. Two-tailed test

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

Fill this statement in:

The decision rule is to reject H0 if z is (outside or inside pick one) the interval ( _________,_________) make sure you round the numerical answers to 2 decimal places!!!!