A study conducted by Zagat Survey concluded that many first-rate restaurants are located in hotels across the United States. Travelers can find quality food, service, and décor without leaving their hotels. The top-rated hotel restaurant is The French Room located in the Adolphus Hotel in Dallas, Texas. The estimated price for dinner including one drink and tip, at The French Room is $80. The highest price reported is the $179 at Alain Ducasse, located in Jumeiah Essex House in New York City. The file Best Rest, provided in the textbooks web data base, contains the top 100 hotel restaurants in the United States and the variables state, city, restaurant, hotel, cost (estimated price of dinner including one drink and tip), and ranting (1 to 100, with the 1 top rated restaurant).
a. Construct the five-number statistical summary of dinner price.
b. Construct a boxplot of dinner price and interpret the distribution of dinner prices.
c. Calculate and interpret the correlation coefficient of the rating and dinner price.