Question

A sample of 69 observations is selected from one population with a population standard deviation of 0.79. The sample mean is 2.69. A sample of 48 observations is selected from a second population with a population standard deviation of 0.67. The sample mean is 2.61. Conduct the following test of hypothesis using the 0.05 significance level:

H₀: μ₁ – μ₂≤ 0

H₁: μ₁ – μ₂ > 0

a. State the decision rule. (Round the final answer to 2 decimal places.)

The decision rule is to reject H₀ if z is greater than less than ???

b. Compute the value of the test statistic. (Negative answer should be indicated by a minus sign. Round the final answer to 2 decimal places.)

The test statistic is z ???

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

The p-value is ???

Answer 1