Question
Ms. Lisa Monnin is the budget director for Nexus Media Inc. She would like to compare the daily travel expenses for the sales staff and the audit staff. She collected the following sample information. $$ \begin{array}{|lccccccc|} \hline \text { Sales (\$) } & 131 & 135 & 146 & 165 & 136 & 142 & \\ \text { Audit (\$) } & 130 & 102 & 129 & 143 & 149 & 120 & 139 \\ \hline \end{array} $$ At the .10 significance level, can she conclude that the
Ms. Lisa Monnin is the budget director for Nexus Media Inc. She would like to compare the daily travel expenses for the sales staff and the audit staff. She collected the following sample information. $$ \begin{array}{|lccccccc|} \hline \text { Sales (\$) } & 131 & 135 & 146 & 165 & 136 & 142 & \\ \text { Audit (\$) } & 130 & 102 & 129 & 143 & 149 & 120 & 139 \\ \hline \end{array} $$ At the .10 significance level, can she conclude that the mean daily expenses are greater for the sales staff than the audit staff? What is the $p$ -value?
Answers
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 future weekend guest bills to test the manager's claim.
a. Which form of the hypotheses should be used to test the manager's claim? Explain.
$$\begin{array}{ll}{H_{0} : \mu \geq 600} & {H_{0} : \mu \leq 600} & {H_{0} : \mu=600} \\ {H_{\mathrm{a}} : \mu<600} & {H_{\mathrm{a}} : \mu>600} & {H_{\mathrm{a}} : \mu \neq 600}\end{array}$$
b. What conclusion is appropriate when $H_{0}$ cannot be rejected?
c. What conclusion is appropriate when $H_{0}$ can be rejected?
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