A sample of 40 observations is selected from one population with a population standard

Chapter 0, Problem 1

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A sample of 40 observations is selected from one population with a population standard deviation of 5. The sample mean is 102. A sample of 50 observations is selected from a second population with a population standard deviation of 6. The sample mean is 99. Conduct the following test of hypothesis using the .04 significance level.

\(\begin{array}{l}
H_{0}: \mu_{1}=\mu_{2} \\
H_{1}: \mu_{1} \neq \mu_{2}
\end{array}\)

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 \(H_{0}\)?

e. What is the p-value?

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