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CHAPTER 6 RANDOM SAMPLING AND DATA DESCRIPTION
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6-18. Find the median and the quartiles for the motor fuel octane data in Exercise 6-14. 6-19. Find the median and the quartiles for the failure data in Exercise 6-15. 6-20. Find the median, mode, and sample average of the data in Exercise 6-16. Explain how these three measures of location describe different features in the data. 6-21. Find the median and the quartiles for the yield data in Exercise 6-19. 6-22. The female students in an undergraduate engineering core course at ASU self-reported their heights to the nearest inch. The data are 62 64 66 67 65 68 61 65 67 65 64 68 64 66 68 69 65 67 62 66 68 67 69 65 70 65 67 68 65 63 64 67 67 63 67 66 65
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distance test is conducted by hitting balls with a driver swung by a mechanical device nicknamed Iron Byron after the legendary great Byron Nelson, whose swing the machine is said to emulate. Following are 100 distances (in yards) achieved by a particular brand of golf ball in the overall distance test. Construct a stem-and-leaf diagram for this data and comment on any important features that you notice. Compute the sample mean, sample standard deviation, and the sample median. 261.3 258.1 254.2 257.7 237.9 255.8 241.4 244.3 241.2 254.4 256.8 255.3 255.0 259.4 270.5 270.7 272.6 274.0 260.7 260.6 272.2 251.1 232.1 273.0 266.6 273.2 265.7 255.1 233.7 253.7 264.5 245.5 280.3 248.3 267.0 271.5 240.8 250.2 251.4 270.6 268.9 263.5 262.2 244.8 279.6 272.7 278.7 273.4 242.9 276.6 255.8 276.1 274.2 267.4 244.5 252.0 264.0 237.8 261.0 236.0 247.7 273.6 264.5 285.3 277.8 261.4 253.6 251.8 280.3 268.3 278.5 260.0 271.2 254.8 256.1 264.5 255.4 266.8 254.5 234.3 259.5 274.9 272.1 273.3 279.3 279.8 272.8 251.6 226.8 240.5 268.5 283.7 263.2 257.5 233.7 260.2 263.7 252.1 245.6 270.5
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(a) Calculate the sample mean and standard deviation of height. (b) Construct a stem-and-leaf diagram for the height data and comment on any important features that you notice. (c) What is the median height of this group of female engineering students 6-23. The shear strengths of 100 spot welds in a titanium alloy follow. Construct a stem-and-leaf diagram for the weld strength data and comment on any important features that you notice. 5408 5420 5407 5463 5399 5445 5381 5401 5458 5383 5431 5429 5469 5408 5391 5436 5425 5411 5485 5401 5475 5401 5416 5481 5477 5454 5388 5399 5431 5407 5442 5446 5377 5453 5447 5453 5388 5431 5416 5385 5376 5487 5454 5422 5329 5428 5378 5440 5431 5440 5388 5416 5375 5354 5473 5418 5481 5413 5390 5422 5459 5382 5409 5421 5423 5465 5387 5406 5399 5448 5422 5357 5459 5406 5441 5427 5440 5342 5435 5366 5416 5388 5445 5444 5412 5421 5482 5452 5387 5430 5435 5457 5429 5466 5384 5396 5406 5420 5462 5418
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6-26. A semiconductor manufacturer produces devices used as central processing units in personal computers. The speed of the device (in megahertz) is important because it determines the price that the manufacturer can charge for the devices. The following table contains measurements on 120 devices. Construct a stem-and-leaf diagram for this data and comment on any important features that you notice. Compute the sample mean, sample standard deviation, and the sample median. What percentage of the devices has a speed exceeding 700 megahertz 680 677 649 681 652 717 704 683 662 681 669 669 675 679 720 727 652 723 644 715 719 700 701 691 660 653 664 710 683 665 699 718 721 683 695 637 702 680 695 676 670 690 683 705 701 660 661 684 678 665 710 681 735 746 724 693 720 705 674 675 722 702 688 706 668 679 695 681 656 655 663 696 763 649 698 682 670 748 667 659 658 692 672 668 668 724 656 697 683 720 634 690 698 672 660 642 718 703 691 675 720 694 659 690 680 704 660 660 680 697 690 660 704 724 739 695 648 722 685 663
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6-24. An important quality characteristic of water is the concentration of suspended solid material. Following are 60 measurements on suspended solids from a certain lake. Construct a stem-and-leaf diagram for this data and comment on any important features that you notice. Compute the sample mean, sample standard deviation, and the sample median. 42.4 54.3 56.3 61.4 42.6 61.4 65.7 54.0 43.3 64.0 77.4 73.1 29.8 73.1 57.4 64.2 54.7 77.3 58.7 81.3 45.3 72.6 57.1 48.5 52.1 59.9 80.1 72.5 77.3 89.8 55.8 56.9 49.7 46.1 39.3 50.7 57.0 62.2 42.8 53.1 76.4 52.0 68.7 69.9 42.4 56.1 59.3 59.6 67.3 66.9 59.6 67.2 51.1 66.1 67.3 59.0 65.8 70.7 73.8 31.6
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6-27. A group of wine enthusiasts taste-tested a pinot noir wine from Oregon. The evaluation was to grade the wine on a 0 to 100 point scale. The results follow: 94 90 88 85 90 93 95 91 92 87 91 85 91 90 88 89 91 91 89 88 86 92 92 84 89 89 87 85 91 86 89 90 91 89 95 90 90 90 92 83
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6-25. The United States Golf Association tests golf balls to ensure that they conform to the rules of golf. Balls are tested for weight, diameter, roundness, and overall distance. The overall
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(a) Construct a stem-and-leaf diagram for this data and comment on any important features that you notice.
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