Often, cruise ships conduct all on-board transactions, with the exception of gambling, on a cashless basis. At the end of the cruise, guests pay one bill that covers all on-board transactions. Suppose that 58 single travelers and 80 couples were surveyed as to their on-board bills for a seven-day cruise from Los Angeles to the Mexican Riviera. Below is a summary of the bills for each group. Singles Amount ($) 51-100 Frequency Relative Frequency 5 101-150 10 151-200 14 201-250 14 251-300 10 301-350 5 Couples Amount ($) Frequency Relative Frequency 100-150 6 151-200 6 201-250 6 251-300 6 301-350 11 351-400 11 401-450 11 451-500 11 501-550 6 551-600 6 Part (a) Fill in the relative frequency for each group. (Round your answers to four decimal places.) Singles Amount ($) Frequency Relative Frequency 51-100 5 101-150 10 151-200 14 201-250 14 251-300 10 301-350 5 Couples Amount ($) Frequency Relative Frequency 100-150 6 151-200 6 201-250 6 251-300 6 301-350 11 351-400 11 401-450 11 451-500 11 501-550 6 551-600 Part (e) Construct a new graph for the couples by hand. Since each couple is paying for two individuals, instead of scaling the x-axis by $50, scale it by $100. Use relative frequency on the y-axis. Relative Frequency Relative Frequency 20 15 0.25 0.20 0.15 10 0.10 5 0.05 0 Amount ($) 0.00 Amount ($) 100 200 300 400 500 600 100 200 300 400 500 600 Relative Frequency Relative Frequency 0.30 0.25 20 0.20 15 0.15 10 0.10 5 0.05 0.00 Amount ($) 0 Amount ($) 100 200 300 400 500 600 100 200 300 400 500 600 Part (f) Compare the graph for the singles with the new graph for the couples. List two similarities between the graphs. (Select all that apply.) Both graphs show lowest relative frequencies near the tails. Both graphs represent a relative frequency distribution. Both graphs show a wide spread of data values. ☐ The center value of each graph is the same. Part (g) By scaling the couples graph differently, how did it change the way you compared it to the singles? O It changed the center of the Couples graph. O It changed the skewness of the Couples graph. O It changed the spread of the Couples graph. O It changed the number of intervals being compared.