Math  /  Data & Statistics

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 α=0.01\alpha=0.01 level of significance and the PP-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
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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 (Choose one) \boldsymbol{\nabla} outliers. The boxplot shows that there (Choose one) \boldsymbol{\nabla} evidence of strong skewness. We (Choose one) \boldsymbol{\nabla} assume that the population is approximately normal. It (Choose one) \nabla reasonable to assume that the conditions are satisfied.

Studdy Solution
If there are no outliers, no strong skewness, and the sample size is reasonable, then it is reasonable to assume that the conditions for performing a hypothesis test are satisfied.
Based on the boxplot analysis: - The boxplot shows that there are no outliers. - The boxplot shows that there is no evidence of strong skewness. - We can assume that the population is approximately normal. - It is reasonable to assume that the conditions are satisfied.

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