Often, cruise ships conduct all on-board transactions, with the exception of gambling, on a cashless basis. At the end o

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Often, cruise ships conduct all on-board transactions, with the exception of gambling, on a cashless basis. At the end o

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Often Cruise Ships Conduct All On Board Transactions With The Exception Of Gambling On A Cashless Basis At The End O 1
Often Cruise Ships Conduct All On Board Transactions With The Exception Of Gambling On A Cashless Basis At The End O 1 (47.89 KiB) Viewed 10 times
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 64 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. Amount ($) 51-100 101-150 151-200 201-250 251-300 301-350 Amount ($) 100-150 151-200 201-250 251-300 301-350 351-400 401-450 451-500 501-550 551-600 Singles Frequency Relative Frequency 6 12 15 15 12 6 Couples Frequency Relative Frequency 4 4 4 4 10. 10 10 10 4 4
Part (a) Fill in the relative frequency for each group. (Round your answers to four decimal places.) Singles Frequency Amount ($) 51-100 101-150 151-200 201-250 251-300 301-350 Amount ($) 100-150 151-200 201-250 251-300 301-350 351-400 401-450 451-500 501-550 551-600 6 0.25 0.20 12 15 15 12 6 4 4 4 4 10 Couples Frequency Relative Frequency 0.0625 10 10 10 4 Relative Frequency 0.0909 0.1818 4 0.2273 0.2273 ✓ 0.1818 0.0909 ✓ 0.0625 ✔ 0.0625 0.0625 ✓ 0.0625 ✓ 0.1563 0.1563 ✔ 0.1563 ✔ 0.1563 ✔ 0.0625 ✓ ✓ Part (b) Construct a histogram for the singles group. Scale the x-axis by $50 widths. Use relative frequency on the y-axis. Relative Frequency Relative Frequency 0.20
Part (b) Construct a histogram for the singles group. Scale the x-axis by $50 widths. Use relative frequency on the y-axis. Relative Frequency Relative Frequency 0.25 0.20 0.15 0.10 0.05 0.00 O Relative Frequency 15 10 5 Amount ($) 50 100 150 200 250 300 350 Amount ($) 50 100 150 200 250 300 350 0.20 0.15 0.10 0.05 0.00 Relative Frequency 15 10 5 0 Amount ($) 50 100 150 200 250 300 350 Amount ($) 50 100 150 200 250 300 350
Part (c) Construct a histogram for the couples group. Scale the x-axis by $50 widths. Use relative frequency on the y-axis. Relative Frequency Relative Frequency 0.15 10 co 8 6 4 2 0 Relative Frequency 0.15 0.10 0.05 0.00 Amount ($) 100 200 300 400 500 600 Amount ($) 100 200 300 400 500 600 0.10 0.05 0.00 Relative Frequency 10 8 6 4 2 0 Amount ($) 100 200 300 400 500 600 Amount ($) 100 200 300 400 500 600
Part (d) Compare the two graphs: (i) List two similarities between the graphs. (Select all that apply.) The bars of each graph represent an interval of $50. Both graphs show a wide spread of the data. Both graphs represent a relative frequency distribution. Both graphs represent a bimodal distribution. (ii) List two differences between the graphs. (Select all that apply.) One graph is symmetrical and the other graph is not symmetrical. One graph is skewed to the right and the other graph is not. One graph is bimodal and the other graph is not bimodal. The center of each distribution is different.
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 $100. Use relative frequency on the y-axis. Relative Frequency Relative Frequency 0.30 0.25 0.20 0.15 0.10 0.05 0.00 Relative Frequency 20 15 10 5 0 Amount ($) 100 200 300 400 500 600 Amount ($) 100 200 300 400 500 600 20 15 10 5 0 Relative Frequency 0.30 0.25 0.20 0.15 0.10 0.05 0.00 100 200 300 400 500 600 Amount ($) HL Amount ($) 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.) The center value each graph is the same. ✔Both graphs represent relative frequency distribution. Both graphs show lowest relative frequencies near the tails. ✔Both graphs show a wide spread of data values. Part (g) By scaling the couples graph differently, how did it change the way you compared it to the singles? It changed the number of intervals being compared. O It changed the center of the Couples graph. It changed the skewness of the Couples graph. O It changed the spread of the Couples graph. 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? Yes, individuals spend about the same whether they are traveling as a single or as a couple. No, individuals appear to spend more when traveling as a single rather than a couple.
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