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A sample of 44 observations is selected from one population with a population standard deviation of 4.9. The sample mean is 102.0. A sample of 45 observations is selected from a second population with a population standard deviation of 3.8. The sample mean is 100.6. Conduct the following test of hypothesis using the 0.02 significance level.
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H0 : μ1 = μ2H1 : μ1 ≠μ2
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a) This is a ONE OR TWO -tailed test?
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b) State the decision rule. (Negative values should be indicated by a minus sign. Round your answer to 2 decimal places.)
The decision rule is to reject H0 if z is OUTSIDE OR INSIDE the interval (?, ?).
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c) Compute the value of the test statistic. (Round your answer to 2 decimal places.)
Value of the test statistic is?
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d) What is your decision regarding H0?
REJECT OR DO NOT REJECTÂ H0.
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e) What is the p-value? (Round your answer to 4 decimal places.)
p-value= ?
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