Question

A sample of 36 observations is selected from one population with a population standard deviation of 3.8. The sample mean is 100.0. A sample of 47 observations is selected from a second population with a population standard deviation of 4.4. The sample mean is 98.0. Conduct the following test of hypothesis using the 0.10 significance level.

H₀ : μ₁ = μ₂

H₁ : μ₁ ≠ μ₂

1. Is this a one-tailed or a two-tailed test?

• One-tailed test

• Two-tailed test

2. State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)

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

4. What is your decision regarding H₀?

• Reject H₀

• Do not reject H₀

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

Answer 1