Question: The manager of the Danvers-Hilton Resort Hotel stated that the mean guest bill for a weekend is $600 or less. A member of the hotel's accounting staff noticed that the total charges for guest bills have been increasing in recent months. The accountant will use a sample of weekend guest bills to test the manager's claim.

1. Which form of the hypotheses should be used to test the manager's claim? Explain.
   \[\begin{array}{lll} H_{0}: \mu \geq 600 & H_{0}: \mu \leq 600 & H_{0}: \mu=600 \\ H_{\mathrm{a}}: \mu<600 & H_{\mathrm{a}}: \mu>600 & H_{\mathrm{a}}: \mu \neq 600 \end{array}\]
2. What conclusion is appropriate when \(H_{0}\) cannot be rejected?
3. What conclusion is appropriate when \(H_{0}\) can be rejected?

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