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Solution: The security department of a factory wants to know whether the true average time required by the night guard to walk his round is 30 minutes. If,

Question: The security department of a factory wants to know whether the true average time required by the night guard to walk his round is 30 minutes. If, in a random sample of 32 rounds, the night guard averaged 30.8 minutes with a standard deviation of 1.5 minutes, determine whether this is sufficient evidence to reject the null hypothesis µ=30 minutes in favor of the alternative hypothesis µ≠30 minutes. Use the 0.01 level of significance. Find the p -value and indicate whether use of the p -value lead you to the same conclusion regarding significance at the 0.01 level.

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Solution: The security department of a factory wants to know whether the true average time required by the night guard to walk his round is 30 minutes. If,

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