A sample of 42 observations is selected from one population with a population standard deviation of 4.5. The sample mean is XXXXXXXXXXA sample of 56 observations is selected from a second population...

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.

H
₀ :μ
₁ =μ
₂

H
₁ :μ
₁ ≠μ
₂

a. State the decision rule.

b. Compute the value of the test statistic.

c. What is thep-value? round to the 4th decimal

d. What is your decision regardingH
₀?