(Answered) Question a sample of 65 observations is selected from one

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Question: 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 .08 significance level.

H0 : μ1 - μ2 ≤ 0
H1 : μ1 - μ2 > 0

a. Is this a one-tailed or 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.

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