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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.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 ? e. What is the p-value?
Solution
VerifiedGiven:
(a) If the alternative hypothesis contains , then the test is left-tailed (one-tailed).
If the alternative hypothesis contains , then the test is right-tailed (one-tailed).
If the alternative hypothesis contains , then the test is two-tailed.
Two-tailed test
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