A sample of 36 observations is selected from one population with a population standard deviation of 3.8. The sample mean is 100.5. A sample of 50 observations is selected from a second population with a population standard deviation of 4.4. The sample mean is 99.3. Conduct the following test of hypothesis using the 0.02 significance level.

H₀: ₁= ₂H₁: _{1 2}

a.This isa(Click to select)

two

one

-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 rejectH₀ifzis(Click to select)

outside

inside

the interval (,).

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

Value of the test statistic

d.What is your decision regardingH₀?(Click to select)

Do not reject

Reject

H₀.

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