Use the data table below to answer the following:

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 66 single travelers and 74 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 ($) Frequency Relative Frequency 51-100 6 101-150 11 151-200 16 201-250 16 251-300 11 301-350 6 Couples Amount ($) Frequency Relative Frequency 100-150 5 151-200 5 201-250 5 251-300 5 301-350 11 351-400 11 401-450 11 451-500 11 501-550 5 551-600 5 Fill in the relative frequency for each group. (Round your answers to four decimal places.) Singles "m _ 301-330 _ Couples "m 331400 0.1433 400400 0.1430 431300 0.1433 300300 0.0340 331300 0.0313 Construct a histogram for the singles group. Scale the x-axis by $50 widths. Use relative frequency on the y-axis. Relative Frequ u Relative Frequency 15 10 5 Amount (3) 0 Amount (3) O 50 100150200250300350 O 50 100150200250300350 Relative Frequency Relative Frequency 15 0.25 0.20 0.15 0.10 0.05 Amount (3) 0.00 Amount (3) O 50 100 150200 250300350 50 100150200250300350 10 Construct a histogram for the couples group. Scale the x-axis by $50 widths. Use relative frequency on the y-axis. Relative Frequency Relative Frequency 0.14 0.12 0.10 0.08 0.06 0.04 0.02 Amount (3) 0.00 Amount (3) 100200300400500600 100200300400500600 Relative Frequency Relative Frequency 0.14 0.1 2 0.10 0.08 0.06 0. 04 0.02 0.00 Amount (3) Amount (3) O 100200300400500600 1002003m400500600 ONIFOOE Compare the two graphs: (i) List two similarities between the graphs. (Select all that apply.) C Both graphs represent a relative frequency distribution. C Both graphs show a wide spread of the data. The bars of each graph represent an interval of $50. C Both graphs represent a bimodal distribution. (ii) List two differences between the graphs. (Select all that apply.) l: The center of each distribution is different. C One graph is symmetrical and the other graph is not symmetrical. C One graph is skewed to the right and the other graph is not. C One graph is bimodal and the other graph is not bimodal. 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 re Relative Frequency Relative Frequency 030 0.25 0.20 0.15 0.10 0.05 0.00 Amount (3) Amount (8) O 100200300400500600 100200300400500600 Relative Frequency Relative Frequency 0.30 0.25 0.20 0.15 0.10 0.05 Amount (3) 0.00 Amount (8) 100200300400500600 O 100200300400500600 E] Part ( Compare the graph for the singles with the new graph for the couples. List two similarities between the graphs. (Select all that apply.) C] Both graphs represent a relative frequency distribution. C] The center value of each graph is the same. C] Both graphs show a wide spread of data values. C] Both graphs show lowest relative frequencies near the tails. E] Part (9) By scaling the couples graph differently, how did it change the way you compared it to the singles? 0 It changed the skewness of the Couples graph. 0 It changed the center of the Couples graph. 0 It changed the spread of the Couples graph. 0 It changed the number of intervals being compared. E] Part (h) Based on the graphs, do you think that individuals spend the same amount, more or less, as singles as they do person by person as a couple? 0 Yes, individuals spend about the same whether they are traveling as a single or as a couple. 0 No. individuals appear to spend more when traveling as a single rather than a couple