The security department of a factory wants to knowwhether the true average time required by the night guard to walk his round is 30 minutes. If, in a ran-dom sample of 32 rounds, the night guard averaged 30.8 minutes with a standard deviation of 1.5 minutes, deter-mine whether this is sufficient evidence to reject the null hypothesis μ = 30 minutes in favor of the alternative hypothesis μ Z 30 minutes. Use the four steps in the ini-tial part of Section 1 and the 0.01 level of significance.

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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 ran-
dom sample of 32 rounds, the night guard averaged 30.8

minutes with a standard deviation of 1.5 minutes, deter-
mine whether this is sufficient evidence to reject the null

hypothesis μ = 30 minutes in favor of the alternative

hypothesis μ Z 30 minutes. Use the four steps in the ini-
tial part of Section 1 and the 0.01 level of significance.

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