A sample of 36 observations is selected from one population with a population standard deviation of 3.8. The sample mean is 100.0. A sample of 47 observations is selected from a second population with a population standard deviation of 4.4. The sample mean is 98.0. Conduct the following test of hypothesis using the 0.10 significance level.
H_{0} : μ_{1} = μ_{2}
H_{1} : μ_{1} ≠ μ_{2}
Is this a one-tailed or a two-tailed test?
One-tailed test
Two-tailed test
State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)
Compute the value of the test statistic. (Round your answer to 2 decimal places.)
What is your decision regarding H_{0}?
Reject H_{0}
Do not reject H_{0}
What is the p-value? (Round your answer to 4 decimal places.)
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