A sample of 44 observations is selected from one population with a population standard deviation of 3.8. The sample mean is 101.0. A sample of 56 observations is selected from a second population with a population standard deviation of 4.0. The sample mean is 99.4. Conduct the following test of hypothesis using the 0.10 significance level. H₀ : ₁ = ₂ H₁ : _{1 2} a. Is this a one-tailed or a two-tailed test? b. 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 the interval( , ) c. Compute the value of the test statistic. (Round your answer to 2 decimal places.) d. What is the p-value? (Round your answer to 4 decimal places.)