Restaurant Satisfaction. The Consumer Reports Restaurant...

Restaurant Satisfaction. The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains (Consumer Reports website, https://www.consumerreports.org/cro/restaurants/buying-guide/index htm). One of the variables in the study is meal price, the average amount paid per person for dinner and drinks, minus the tip. Suppose a reporter for the Sun Coast Times thought that it would be of interest to her readers to conduct a similar study for restaurants located on the Grand Strand section in Myrtle Beach, South Carolina. The reporter selected a sample of 8 seafood restaurants, 8 Italian restaurants, and 8 steakhouses. The following data show the meal prices ( $$\$ $$ ) obtained for the 24 restaurants sampled. Use $\alpha=.05$ to test whether there is a significant difference among the mean meal price for the three types of restaurants.$$ \begin{array}{ccc} \text { Italian } & \text { Seafood } & \text { Steakhouse } \\ \$ 12 & \$ 16 & \$ 24 \\ 13 & 18 & 19 \\ 15 & 17 & 23 \\ 17 & 26 & 25 \\ 18 & 23 & 21 \\ 20 & 15 & 22 \\ 17 & 19 & 27 \\ 24 & 18 & 31 \end{array} $$ a. At the $\alpha=.05$ level of significance, can we reject the null hypothesis that the means of the three treatments are equal? b. Use Fisher's LSD procedure to test whether there is a significant difference between the means for treatments $A$ and $B$, treatments $A$ and $C$, and treatments $B$ and C. Use $\alpha=.05$. c. Use Fisher's LSD procedure to develop a $95 \%$ confidence interval estimate of the difference between the means of treatments A and B .

Restaurant Satisfaction. The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains (Consumer Reports website, https://www.consumerreports.org/cro/restaurants/buying-guide/index htm). One of the variables in the study is meal price, the average amount paid per person for dinner and drinks, minus the tip. Suppose a reporter for the Sun Coast Times thought that it would be of interest to her readers to conduct a similar study for restaurants located on the Grand Strand section in Myrtle Beach, South Carolina. The reporter selected a sample of 8 seafood restaurants, 8 Italian restaurants, and 8 steakhouses. The following data show the meal prices ( $$\$ $$ ) obtained for the 24 restaurants sampled. Use $\alpha=.05$ to test whether there is a significant difference among the mean meal price for the three types of restaurants.$$
\begin{array}{ccc}
\text { Italian } & \text { Seafood } & \text { Steakhouse } \\
\$ 12 & \$ 16 & \$ 24 \\
13 & 18 & 19 \\
15 & 17 & 23 \\
17 & 26 & 25 \\
18 & 23 & 21 \\
20 & 15 & 22 \\
17 & 19 & 27 \\
24 & 18 & 31
\end{array}
$$
a. At the $\alpha=.05$ level of significance, can we reject the null hypothesis that the means of the three treatments are equal?
b. Use Fisher's LSD procedure to test whether there is a significant difference between the means for treatments $A$ and $B$, treatments $A$ and $C$, and treatments $B$ and C. Use $\alpha=.05$.
c. Use Fisher's LSD procedure to develop a $95 \%$ confidence interval estimate of the difference between the means of treatments A and B .

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