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

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

d.What is your decision regardingH₀? (reject or do not reject)

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