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The security department of a factory wants to test the claim that the true average time required by the night watchman to walk his round is more than 25 minutes. In a random sample of 49 rounds, the night watchman averaged 26.1 minutes with a standard deviation of 3.5 minutes.
(a) Formulate the null and the alternative hypotheses in terms of the population mean.
(b) State the test statistic.
(c) State the rejection region corresponding to α = 0.025.
(d) Obtain the value of the test statistic and make an appropriate decision.
(e) State your conclusion in terms of the original problem.
(f) Calculate the p-value for the test. Explain the meaning of the p-value.
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