QMM2400 F19 Chp 2, 3 and 6 Review Problems solution.pdf - QMM2400 F19 Chp 2 and 6 Review Problems Solution 1 A packaging process is supposed to fill

QMM2400 F19 Chp 2, 3 and 6 Review Problems solution.pdf -...

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QMM2400 F19 Chp 2 and 6 Review Problems Solution Page: 1 of 8 1) A packaging process is supposed to fill small boxes of raisins with approximately 50 raisins so that each box will weigh the same. However, the number of raisins in each box will vary. To study the process, 100 boxes were randomly sampled and the number of raisins in each box was counted. The data appear in the Raisins worksheet of the Chp 2, 3 and 6 Review Problems data workbook on Moodle. a) Construct a frequency distribution. The table to the right uses intervals of width three for a frequency distribution and a relative frequency distribution. b) Construct a relative frequency distribution. c) Prepare a Histogram. The Histogram to the right is a bar chart of the frequency distribution above 2) The soft drink market is an extremely large and growing market in the United States and worldwide. In a recent year, 9.6 billion cases of soft drinks were sold in the United States alone. The table to the right (which also appears on the Soft Drink worksheet of the Chp 2, 3 and 6 Review Problems data workbook on Moodle) contains the percentage of sales by place of sale. a) Construct a pie chart. Percentage Supermarket Fountain Convenience store / gas station Vending machine Mass merchandisers Drugstores Relative Interval Frequency Frequency 0 - 37 0 0.00 38 -40 2 0.02 41 -43 3 0.03 44 -46 13 0.13 47 -49 27 0.27 50 - 52 19 0.19 53 - 55 19 0.19 56 - 58 12 0.12 59 - 61 5 0.05 62 - 64 0 0.00 65 and up 0 0.00 0 5 10 15 20 25 30 0 - 37 38 -40 41 -43 44 -46 47 -49 50 - 52 53 - 55 56 - 58 59 - 61 62 - 64 65 and up Frequency Place of sales Percentage Supermarket 44 Fountain 24 Convenience store / gas station 16 Vending machine 11 Mass merchandisers 3 Drugstores 2
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QMM2400 F19 Chp 2 and 6 Review Problems Solution Page: 2 of 8 b) Construct a bar chart. c) Which of the two charts above (pie or bar) would prefer to present this data. Why? This is an opinion question, i.e., there is no one correct answer. 3) The U.S. National Oceanic and Atmospheric Administration, National Marine Fisheries Service, publishes data on the quantity and value of domestic fishing in the United States. The quantity (in millions of pounds) of fish caught and used for human food and for industrial products (oil, bait, animal food, etc.) over a ten year period appears in the table to the right and on the Fishing worksheet of the Chp 2, 3 and 6 Review Problems data workbook on Moodle. a) Construct a scatter plot of the data. b) Examine the plot and discuss the strength of the relationship of the two variables. There appears to be somewhat of an inverse relationship, i.e., as Human food increases, industrial product appears to decrease. 0 5 10 15 20 25 30 35 40 45 50 Percentage 0 500 1000 1500 2000 2500 3000 3500 0 1000 2000 3000 4000 5000 6000 7000 Industrial Product Human Food Industrial Product Human Food Industrial Product 3654 2828 3547 2430 3285 3082 3238 3201 3320 3118 3294 2964 3393 2638 3946 2950 4588 2604 6204 2259
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