MATH201 - Assignment 1 1. Conde Nast Traveler magazine conducts an annual survey of subscribers in order to determine the best places to stay throughout the world. Table 1.6 shows a sample of nine European hotels (Cond Nast Traveler, January 2000). The price of a standard double room during the hotels high season ranges from $ (lowest price) to $$$$ (highest price). The overall score includes subscribers evaluations of each hotels rooms, service, restaurants, location/atmosphere, and public areas; a higher overall score corresponds to a higher level of satisfaction. (a) How many elements are in this data set? (b) How many variables are in this data set? (c) Which variables are qualitative and which variables are quantitative? (d) What type of measurement scale is used for each of the variables? 2. Refer to Table 1.6. (a) What is the average number of rooms for the nine hotels? (b) Compute the average overall score. (c) What is the percentage of hotels located in England? (d) What is the percentage of hotels with a room rate of $$? 3. All-in-one sound systems, called minisystems, typically include an AM/FM tuner, a dual- cassette tape deck, and a CD changer in a book-sized box with two separate speakers. The data in Table 1.7 show the retail price, sound quality, CD capacity, FM tuning sensitivity and selectivity, and the number of tape decks for a sample of 10 minisystems (Consumer Reports Buying Guide 2002). (a) How many elements does this data set contain? (b) What is the population? (c) Compute the average price for the sample. (d) Using the results in part (c), estimate the average price for the population. 4. Consider the data set for the sample of 10 minisystems in Table 1.7. (a) How many variables are in the data set? (b) Which of the variables are quantitative and which are qualitative? (c) What is the average CD capacity for the sample? (d) What percentage