(a) The central statistics office conducts an annual poll of subscribers in order to determine the best places to stay throughout Zambia. The table below is a sample of nine provinces hotels from their most recent poll. The price (in kwacha) of a standard double room during the hotels high season ranges from K (lowest price) to KKKK (highest price). The overall score includes subscribers evaluations of each hotels rooms, service, restaurants, 2 location/atmosphere, and public areas. Higher overall scores correspond to a higher level of satisfaction. Name of property Province Room Rate Number of rooms Overall score A Eastern KK 18 83.6 B Luapula KKKK 166 86.3 C North Western K 54 77.8 D Muchinga KK 47 76.8 E Lusaka KK 326 80.9 F Western KKK 45 73.7 G Southern KKK 120 85.5 H Central K 10 76.9 I Copperbelt KK 22 90.6 i. How many elements are in this data set? ii. How many observations are in this data set? iii. How many variables are in this data set? iv. Which variables are qualitative? v. Which variables are quantitative? vi. What type of measurement scale is being used for each of the variables? vii. What is the average number of rooms for the nine hotels? viii. Compute the average overall score ix. What is the percentage of hotels located in Eastern Province? x. What is the percentage of hotels with a room rate of KK? 3 (b) A partial relative frequency distribution is given. Class Relative Frequency A 0.22 B 0.18 C 0.40 D i. What is the relative frequency of class D? ii. The total sample size is 500. What is the frequency of class D? iii. Show the frequency distribution. iv. Show the percent frequency distribution? (c) A random sample of size 30 is taken from o(4) (i.e. Poisson distribution). Find i. ( < 4.5) ii. ( > 3.8) iii. (3.8 < < 4.5)