QuestionFree dessert: In an attempt to increase business on Monday nights, a restaurant offers a free dessert with every dinner order. Before the offer, the mean number of dinner customers on Monday was 150. Following are the numbers of diners on a random sample of 12 days while the offer was in effect. Can you conclude that the mean number of diners decreased while the free dessert offer was in effect? Use the $\alpha=0.01$ level of significance and the $P$-value method with the
Critical Values for the Student's $t$ Distribution Table. \begin{tabular}{llllll} \hline 170 & 133 & 150 & 111 & 171 & 103 \\ 101 & 110 & 133 & 179 & 151 & 112 \\ \hline \end{tabular} Send data to Excel
Part 1 of 6
Following is a boxplot for these data. Is it reasonable to assume that the conditions for performing a hypothesis test are satisfied? Explain.
The boxplot shows that there are outliers. The boxplot shows that there is no evidence of strong skewness.
We can $\square$ assume that the population is approximately normal.
It $\square$ reasonable to assume that the conditions are satisfied.
Part 2 of 6
State the appropriate null and alternate hypotheses. $$\begin{array}{l} H_{0}=\mu=150 \\ H_{1}: \mu<150 \end{array}$$
This hypothesis test is a left-tailed $\square$ test. 5