Question: 2. A sample of 65 observations is selected from one population with a population standard deviation of 0.75. The sample mean is 2.67. A sample

2. A sample of 65 observations is selected from one population with a population standard deviation of 0.75. The sample mean is 2.67. A sample of 50 observations is selected from a second population with a population standard deviation of 0.66. The sample mean is 2.59. Conduct the following test of hypothesis using the 0.08 significance level: H0: μ1 − μ2 ≤ 0 H1: μ1 − μ2 > 0

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

b. State the decision rule.

c. Compute the value of the test statistic.

d. What is your decision regarding H0?

e. What is the p-value? Interpret the p-value. Note: Use the five-step hypothesis testing procedure to solve the following exercises:

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