A sample of 42 observations is selected from one population with a population standard deviation of 4.5. The sample mean is 100.5. A sample of 56 observations is selected from a second population with a population standard deviation of 3.8. The sample mean is 98.5. Conduct the following test of hypothesis using the 0.10 significance level. H₀:₁=₂ H₁:₁₂ Required: a.Is this a one-tailed or a two-tailed test? multiple choice 1

• One-tailed test
• 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 Ho if z is ________ the interval (________, _________)

c.Compute the value of the test statistic.(Round your answer to 2 decimal places.)

d.What is your decision regardingH₀? (Reject Ho; Do not reject Ho)

e.What is thep-value?(Round your answer to 4 decimal places.)