Descriptive Statistics and Probability Distributions - Case Study Example

Descriptive Statistics and Probability Distributions Chapter 3: 80. Creek Ratz is a very popular restaurant located along the coast of northern Florida. They serve a variety of steak and seafood dinners. During the summer beach season, they do not take reservations or accept “call ahead” seating. Management of the restaurant is concerned with the time a patron must wait before being seated for dinner. Listed below is the wait time, in minutes, for the 25 tables seated last Saturday night. 28 39 23 67 37 28 56 40 28 50 51 45 44 65 61 27 24 61 34 44 64 25 24 27 29           a. Explain why the times are a population. All patrons for one night are considered. Moreover, Saturday nights are usually busy and are filled with people as it is a weekend. So the data on a Saturday corresponds to the maximum number of people visiting the restaurant or in other words, the worst case scenario. Hence it can be considered as a population. b. Find the mean and median of the times. Mean E[X] = Sum of data/25 = 40.84 Median (value at (n+1)/2) = 39 c. Find the range and the standard deviation of the times. Range = Max Value – Min Value = 44 Standard Deviation: Var[X] = E[X - (Mean)] 2 / n = 220.47 Standard deviation = Sqrt( Var[X]) = 14.85 82. The following frequency distribution reports the electricity cost for a sample of 50 two bedroom apartments in Albuquerque, New Mexico during the month of May last year. Electric Cost ($) Mid Point (x) Frequency (f) (f * x) x2 (f * x2) 80, Read More