A sample of 65 observations is selected from one population with a population standard deviation of 0.75. The sample mean is 2.67. A sample of 50 observations is selected from a second population with a population standard deviation of 0.66. The sample mean is 2.59. Conduct the following test of hypothesis using the 0.08 significance level:

H₀: ₁- ₂ 0

H₁: ₁- ₂> 0

a.This is a one-tailed or a two-tailed test?

b.State the decision rule.(Hint: rejectH₀ifzis"greater than"/"less than" x...)

c.Compute the value of the test statistic.

d.What is your decision regardingH₀?

e.What is thep-value?