Question

A sample of 65 observations is selected from one population with a population standard deviation of 0.78. The sample mean is 2.69. A sample of 54 observations is selected from a second population with a population standard deviation of 0.69. The sample mean is 2.57. Conduct the following test of hypothesis using the 0.1 significance level:

H₀: μ₁ – μ₂≤ 0

H₁: μ₁ – μ₂ > 0

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

This is a ___ test.

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

The decision rule is to reject H₀ if z is ___ .

c. 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 ___

d. What is your decision regarding H₀?

H₀ is ___ .

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

The p-value is ___.

Answer 1

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