Statistics Solutions

[See Solution] 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

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.

\[\begin{aligned} &H_{0}: \mu_{1} \leq \mu_{2} \\ &H_{1}: \mu_{1}>\mu_{2} \end{aligned}\]
  1. Is this a one-tailed or a two-tailed test?
  2. State the decision rule.
  3. Compute the value of the test statistic.
  4. What is your decision regarding \(\mathrm{H}_{0}\) ?
  5. What is the \(p\) -value?

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