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 is a (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 reject H₀ if z is (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 regarding H₀? (Click to select)

Do not reject

Reject

H₀.

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

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