A sample of 41 observations is selected from one population with a population standard deviation of 3.4. The sample mean is 100.0. A sample of 45 observations is selected from a second population with a population standard deviation of 5.6. The sample mean is 98.4. Conduct the following test of hypothesis using the 0.05 significance level.

H₀:₁=₂

H₁:₁₂

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

• One-tailed test
• Two-tailed test

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

The decision rule is to reject H0 if z is (Outside or Inside) the interval (_____, _____).