Варианты заданий_1
.docВарианты заданий для расчетно-графической работы по дисциплине «Метрология, стандартизация и сертификация»
Задание 1:
Произвести статистическую обработку ряда наблюдений измеряемой величины с учетом объема этого ряда. Выявить и исключить промахи в результатах наблюдений, выдвинув (если возможно) гипотезу о законе распределения с заданной доверительной вероятностью. Определить значение результата измерения, предполагая отсутствие систематической погрешности. Определить случайную среднеквадратическую погрешность результата измерения. Построить гистограмму результатов наблюдений. Сделать вывод о правомерности выдвинутой ранее гипотезы.
|
№ |
Доверит. вероятн. |
Набор ряда наблюдений |
|
1 |
0.9545 |
490, 501, 493, 495, 486, 450, 481, 486, 480, 463, 490, 520, 495, 492, 482, 518, 481, 505, 506, 508, 527, 492, 512, 512, 500, 501 |
|
2 |
0.9545 |
393, 393, 395, 401, 409, 394, 405, 399, 384, 406, 383, 404, 388, 385, 423, 401, 396, 391, 391, 393, 423, 408, 407, 398, 415, 437 |
|
3 |
0.9722 |
482, 502, 494, 497, 504, 489, 519, 492, 499, 461, 489, 559, 493, 491, 481, 510, 505, 490, 490, 502 , 491, 476, 466, 506, 514, 522 |
|
4 |
0.9385 |
513, 503, 516, 508, 495, 500, 490, 495, 491, 515, 522, 483, 527, 524, 504, 484, 479, 494, 504, 490, 529, 504, 514, 504, 521, 498, 533, 503, 496, 494 |
|
5 |
0.9576 |
488, 495, 494, 496, 546, 498, 508, 483, 477, 500, 487, 507, 497, 523, 503, 493, 508, 502, 493, 505, 524, 509, 508, 493, 511, 518, 522, 503, 495, 500 |
|
6 |
0.9342 |
287, 308, 290, 306, 296, 301, 291, 295, 290, 292, 290, 310, 304, 312, 324, 323, 318, 293, 293, 275, 275, 280, 269, 319, 297, 354 |
|
7 |
0.9545 |
316, 307, 299, 291, 248 295, 315, 299, 304, 306, 314, 294, 268, 286, 309, 309, 303, 288, 288, 291, 290, 285, 275, 315, 302, 284, 335, 306, 278, 273, 300 |
|
8 |
0.9545 |
267, 310, 292, 294, 342, 297, 307, 291, 286, 298, 286, 302, 313, 301, 281, 330, 325, 300, 280, 283, 282, 287, 294, 283, 291, 298, 312 |
|
9 |
0.9545 |
304, 294, 326, 308, 306, 291, 281, 279, 281, 263, 291, 321, 295, 293, 283, 313, 307, 292, 290, 311, 310, 305, 315, 295, 283 |
|
10 |
0.9545 |
297, 288, 310, 302, 343, 304, 275, 289, 284, 266, 320, 285, 319, 307, 297, 286, 281, 296, 306, 299, 328, 279, 290, 300, 307, 300 |
|
11 |
0.9545 |
289, 309, 281, 304, 301, 316, 306, 308, 312, 314, 302, 292, 316, 324, 304, 294, 308, 303, 298, 307, 287, 331, 311, 301, 279, 276, 291, 311, 293, 293, 296, 292, 306, 314, 303 |
|
12 |
0.9545 |
319, 299, 292, 314, 301, 296, 296, 311, 330, 309, 297, 297, 271, 289, 309, 288, 293, 318, 318, 296, 329, 304, 314, 314, 301, 308, 293, 303, 266, 281 |
|
13 |
0.9464 |
385, 406, 388, 400, 408, 392, 413, 397, 392, 404, 386, 393, 368, 385, 405, 395, 390, 405, 405, 407, 386, 417, 410, 400, 388, 405, 380, 420, 402, 377 |
|
14 |
0.9545 |
385, 406, 388, 400, 408, 392, 413, 397, 392, 404, 386, 393, 368, 385, 405, 395, 390, 405, 405, 407, 386, 417, 410, 400, 388, 405, 380, 420, 402, 377 |
|
15 |
0.9545 |
297, 295, 271, 289, 309, 393, 394, 386, 408, 386, 411, 421, 385, 420, 412, 401, 401, 405, 403, 383, 423, 417, 392, 393, 375, 372, 389, 398, 398, 396 |
|
16 |
0.9545 |
494, 505, 487, 489, 496, 501, 502, 578, 501, 467, 494, 524, 489, 496, 486, 506, 511, 486, 486, 506, 531, 506, 516, 506, 514, 526 |
|
17 |
0.9545 |
319, 299, 292, 314, 301, 296, 296, 311, 330, 309, 297, 297, 271, 289, 309, 288, 293, 318, 318, 296, 329, 304, 314, 314, 301, 308, 293, 303, 266, 281 |
|
18 |
0.9545 |
488, 495, 494, 496, 546, 498, 508, 483, 477, 500, 487, 507, 497, 523, 503, 493, 508, 502, 493, 505, 524, 509, 508, 493, 511, 518, 522, 503, 495, 500, 513 |
|
19 |
0.9426 |
513, 503, 516, 508, 495, 500, 490, 495, 491, 515, 522, 483, 527, 524, 504, 484, 479, 494, 504, 490, 529, 504, 514, 504, 521, 498, 533, 503, 496, 494, 509 |
|
20 |
0.9616 |
488, 495, 494, 496, 546, 498, 508, 483, 477, 500, 487, 507, 497, 523, 503, 493, 508, 502, 493, 505, 524, 509, 508, 493, 511, 518, 522, 503, 495, 500, 570 |
|
21 |
0.9011 |
304, 294, 326, 308, 306, 291, 281, 279, 281, 263, 291, 321, 295, 293, 283, 313, 307, 292, 290, 311, 310, 305, 315, 295, 283, 305, 297 |
|
22 |
0.9011 |
267, 310, 292, 294, 342, 297, 307, 291, 286, 298, 286, 302, 313, 301, 281, 330, 325, 300, 280, 283, 282, 287, 294, 283, 291, 298, 312, 303 |
|
23 |
0.9011 |
316, 307, 299, 291, 248 295, 315, 299, 304, 306, 314, 294, 268, 286, 309, 309, 303, 288, 288, 291, 290, 285, 275, 315, 284, 335, 306, 278, 273, 300 |
|
24 |
0.9426 |
287, 308, 290, 306, 296, 301, 291, 295, 290, 292, 290, 310, 304, 312, 324, 323, 318, 293, 293, 275, 275, 280, 269, 319, 297, 302, 354, 307 |
|
25 |
0.9011 |
488, 495, 494, 496, 546, 498, 508, 483, 477, 500, 487, 507, 497, 523, 503, 493, 508, 502, 493, 505, 524, 509, 508, 493, 511, 518, 522, 503, 500 |
|
26 |
0.9327 |
513, 503, 516, 508, 495, 500, 490, 495, 491, 515, 522, 483, 527, 524, 504, 484, 479, 494, 504, 490, 529, 504, 514, 504, 521, 498, 533, 496, 494 |
|
27 |
0.9011 |
482, 502, 494, 497, 504, 489, 519, 492, 499, 461, 489, 559, 493, 491, 481, 510, 505, 490, 490, 502 , 491, 476, 466, 506, 514, 522, 495, 503 |
|
28 |
0.9011 |
393, 393, 395, 401, 409, 394, 405, 399, 384, 406, 383, 404, 388, 385, 423, 401, 396, 391, 391, 393, 423, 408, 407, 398, 415, 437, 407 |
|
29 |
0.9011 |
490, 501, 493, 495, 486, 450, 481, 486, 480, 463, 490, 520, 495, 492, 482, 518, 481, 505, 506, 508, 527, 492, 512, 512, 500, 501, 505 |
|
30 |
0.9011 |
488, 495, 494, 496, 546, 498, 508, 483, 477, 500, 487, 507, 497, 523, 503, 493, 508, 502, 493, 505, 524, 509, 508, 493, 511, 518, 522, 503 |
|
31 |
0.9011 |
513, 503, 516, 508, 495, 500, 490, 495, 491, 515, 522, 483, 527, 524, 504, 484, 479, 494, 504, 490, 529, 504, 514, 504, 521, 498, 533, 503 |
|
32 |
0.9011 |
488, 495, 494, 496, 546, 498, 508, 483, 477, 500, 487, 507, 497, 523, 503, 493, 508, 502, 493, 505, 524, 509, 508, 493, 511, 518, 522, 503 |
|
33 |
0.9011 |
319, 299, 292, 314, 301, 296, 296, 311, 330, 309, 297, 297, 271, 289, 309, 288, 293, 318, 318, 296, 329, 304, 314, 314, 301, 308, 303, 266, 281 |
|
34 |
0.9109 |
494, 505, 487, 489, 496, 501, 502, 578, 501, 467, 494, 524, 489, 496, 486, 506, 511, 486, 486, 506, 531, 506, 516, 506, 514, 526, 511 |
|
35 |
0.9281 |
297, 295, 271, 289, 309, 393, 394, 386, 408, 386, 411, 421, 385, 420, 412, 401, 401, 405, 403, 383, 423, 417, 392, 393, 375, 372, 389, 398, 396 |
|
36 |
0.9011 |
385, 406, 388, 400, 408, 392, 413, 397, 392, 404, 386, 393, 368, 385, 405, 395, 390, 405, 405, 407, 386, 417, 410, 400, 388, 405, 380, 420, 377 |
|
37 |
0.9011 |
385, 406, 388, 400, 408, 392, 413, 397, 392, 404, 386, 393, 368, 385, 405, 395, 390, 405, 405, 407, 386, 417, 410, 400, 388, 405, 380, 420, 402 |
|
38 |
0.9545 |
319, 299, 292, 314, 301, 296, 296, 311, 330, 309, 297, 297, 271, 289, 309, 288, 293, 318, 318, 296, 329, 304, 314, 314, 301, 308, 293, 303 |
|
39 |
0.9281 |
289, 309, 281, 304, 301, 316, 306, 308, 312, 314, 302, 292, 316, 324, 304, 294, 308, 303, 298, 307, 287, 331, 311, 301, 279, 276, 291, 311, 293, 296, 303 |
|
40 |
0.9011 |
297, 288, 310, 302, 343, 304, 275, 289, 284, 266, 320, 285, 319, 307, 297, 286, 281, 296, 306, 299, 328, 279, 290, 300, 307, 292, 306, 314, 300 |
|
41 |
0.9249 |
500, 490, 495, 491, 515, 522, 483, 527, 524, 504, 484, 479, 494, 504, 490, 529, 504, 514, 504, 521, 498, 533, 496, 494 |
|
42 |
0.9011 |
502, 494, 497, 504, 489, 519, 492, 499, 461, 489, 559, 493, 491, 481, 510, 505, 490, 490, 502 , 491, 476, 466, 506, 514, 522 |
|
43 |
0.9011 |
393, 395, 401, 409, 394, 405, 399, 384, 406, 383, 404, 388, 385, 423, 401, 396, 391, 391, 393, 423, 408, 407, 398, 415, 437 |
|
44 |
0.9281 |
490, 501, 493, 495, 486, 450, 481, 486, 480, 463, 490, 520, 495, 492, 482, 518, 481, 505, 506, 508, 527, 492, 512, 512, 500 |
|
45 |
0.9011 |
495, 494, 496, 546, 498, 508, 483, 477, 500, 487, 507, 497, 523, 503, 493, 508, 502, 493, 505, 524, 509, 508, 493, 511, 518, 522 |
|
46 |
0.9109 |
516, 508, 495, 500, 490, 495, 491, 515, 522, 483, 527, 524, 504, 484, 479, 494, 504, 490, 529, 504, 514, 504, 521, 498, 533, 503 |
|
47 |
0.9011 |
495, 494, 496, 546, 498, 508, 483, 477, 500, 487, 507, 497, 523, 503, 493, 508, 502, 493, 505, 524, 509, 508, 493, 511, 518, 522, 503 |
|
48 |
0.9011 |
299, 292, 314, 301, 296, 296, 311, 330, 309, 297, 297, 271, 289, 309, 288, 293, 318, 318, 296, 329, 304, 314, 314, 301, 308, 303, 266, 281 |
|
49 |
0.9011 |
494, 505, 487, 489, 496, 501, 502, 578, 501, 467, 494, 524, 489, 496, 486, 506, 511, 486, 486, 506, 531, 506, 516, 506, 514, 526, 487, 489, 496 |
|
50 |
0.9109 |
297, 295, 271, 289, 309, 393, 394, 386, 408, 386, 411, 421, 385, 420, 412, 403, 383, 423, 417, 392, 393, 375, 372, 389, 398, 396 |
|
51 |
0.9011 |
392, 413, 397, 392, 404, 386, 393, 368, 385, 405, 395, 390, 405, 405, 407, 386, 417, 410, 400, 388, 405, 380, 420, 377 |
|
52 |
0.8764 |
385, 406, 388, 400, 397, 392, 404, 386, 393, 368, 385, 405, 395, 390, 405, 405, 407, 386, 417, 410, 400, 388, 405, 380, 420, 402 |
|
53 |
0.9512 |
319, 314, 301, 296, 296, 311, 330, 309, 297, 297, 271, 289, 309, 288, 293, 318, 318, 296, 329, 304, 314, 314, 301, 308, 293, 303 |
|
54 |
0.9439 |
281, 304, 301, 316, 306, 308, 312, 314, 302, 292, 316, 324, 304, 294, 308, 303, 298, 307, 287, 331, 311, 301, 279, 276, 291, 311, 293, 296, 303 |
|
55 |
0.9643 |
297, 288, 310, 302, 343, 304, 275, 289, 284, 266, 320, 285, 319, 307, 297, 286, 281, 296, 306, 299, 328, 279, 290, 300, 307, 292, 306, 314, 300 |
|
56 |
0.9643 |
495, 494, 496, 546, 498, 508, 483, 477, 500, 487, 507, 497, 523, 503, 493, 508, 502, 493, 505, 524, 509, 508, 493, 511, 518, 522, 503 |
|
57 |
0.9973 |
494, 496, 546, 498, 508, 483, 477, 500, 487, 507, 497, 523, 503, 493, 508, 502, 493, 505, 524, 509, 508, 493, 511, 518, 522, 503, 495, 500, 570 |
|
58 |
0.9643 |
304, 294, 326, 308, 306, 291, 281, 279, 281, 263, 291, 321, 295, 293, 283, 313, 307, 292, 290, 311, 310, 305, 315, 295, 283, 305, 297, 300 |
|
59 |
0.9643 |
267, 310, 292, 294, 342, 297, 307, 291, 286, 298, 286, 302, 313, 301, 281, 330, 325, 300, 280, 283, 282, 287, 294, 283, 291, 298, 312 |
|
60 |
0.9545 |
308, 290, 306, 296, 301, 291, 295, 290, 292, 290, 310, 304, 312, 324, 323, 318, 293, 293, 275, 275, 280, 269, 319, 297, 302, 354, 307, 290, 310 |
|
61 |
0.9545 |
316, 307, 299, 291, 248, 295, 315, 299, 304, 306, 314, 294, 268, 286 |
|
62 |
0.9545 |
309, 309, 303, 288, 288, 291, 290, 285, 275, 315, 302 |
|
63 |
0.9011 |
284, 335, 306, 278, 273, 300, 319, 299, 292, 314 |
|
64 |
0.9545 |
488, 495, 494, 496, 546, 498, 508, 483, 477, 500, 487, 507, 497, 523 |
|
65 |
0.9011 |
503, 493, 508, 502, 493, 505, 524, 509, 508, 493, 511, 518, 522, 503, 495 |
|
66 |
0.9011 |
301, 296, 296, 311, 330, 309, 297, 297, 271, 289, 309, 288, 293, 318 |
|
67 |
0.9281 |
318, 296, 329, 304, 314, 314, 301, 308, 293, 303, 266, 281 |
|
68 |
0.9109 |
385, 406, 388, 400, 408, 392, 413, 397, 392, 404, 386, 393, 368, 385 |
|
69 |
0.9312 |
405, 395, 390, 405, 405, 407, 386, 417, 410, 400, 405, 380, 420, 402, 377 |
|
70 |
0.9545 |
386, 393, 368, 385, 405, 395, 390, 405, 405, 407, 386 |
|
71 |
0.9545 |
385, 406, 388, 400, 408, 392, 413, 397, 392, 404 |
|
72 |
0.9545 |
297, 295, 271, 289, 309, 393, 394, 386, 408, 386, 411, 421 |
|
73 |
0.9545 |
417, 410, 400, 388, 405, 380, 420, 402, 377 |
|
74 |
0.9545 |
385, 420, 412, 401, 401, 405, 403, 383, 423, 417, 392, 393 |
|
75 |
0.9545 |
375, 372, 389, 398, 398, 396, 400, 401, 380 |
|
76 |
0.9545 |
492, 482, 501, 506, 508, 504, 505, 506, 501 |
|
77 |
0.9545 |
267, 310, 292, 294, 342, 297, 307, 291, 286, 298, 286, 302, 313, 301 |
|
78 |
0.9545 |
281, 330, 325, 300, 280, 283, 282, 287, 294, 283, 291, 298, 312 |
|
79 |
0.9545 |
490, 501, 493, 495, 486, 450, 481, 486, 480, 463, 490, 520, 495 |
|
80 |
0.9545 |
482, 518, 481, 505, 506, 508, 527, 492, 512, 512, 500 |
ПРИЛОЖЕНИЕ 1
Таблица П.1. Значения функции Лапласа для некоторых аргументов
ПРИЛОЖЕНИЕ 2
Таблица П.2. Квантили распределения Стьюдента
|
n |
P |
||||||
|
0.750 |
0.900 |
0.950 |
0.975 |
0.990 |
0.990 |
0.999 |
|
|
1 |
1.000 |
3.078 |
6.314 |
12.706 |
31.821 |
63.657 |
318 |
|
2 |
0.816 |
1.886 |
2.920 |
4.303 |
6.965 |
9.925 |
22.3 |
|
3 |
0.765 |
1.638 |
2.353 |
3.182 |
4.541 |
5.841 |
10.2 |
|
4 |
0.741 |
1.533 |
2.132 |
2.776 |
3.747 |
4.604 |
7.173 |
|
5 |
0.727 |
1.476 |
2.015 |
2.571 |
3.365 |
4.032 |
5.893 |
|
|
|
|
|
|
|
|
|
|
6 |
0.718 |
1.440 |
1.943 |
2.447 |
3.143 |
3.707 |
5.208 |
|
7 |
0.711 |
1.415 |
1.895 |
2.365 |
2.998 |
3.499 |
4.785 |
|
8 |
0.706 |
1.397 |
1.860 |
2.306 |
2.896 |
3.355 |
4.501 |
|
9 |
0.703 |
1.383 |
1.833 |
2.262 |
2.821 |
3.250 |
4.297 |
|
10 |
0.700 |
1.372 |
1.812 |
2.228 |
2.764 |
3.169 |
4.144 |
|
|
|
|
|
|
|
|
|
|
11 |
0.697 |
1.363 |
1.796 |
2.201 |
2.718 |
3.106 |
4.025 |
|
12 |
0.695 |
1..356 |
1.782 |
2.179 |
2.681 |
3.055 |
3.930 |
|
13 |
0.694 |
1.350 |
1.771 |
2.160 |
2.650 |
3.012 |
3.852 |
|
14 |
0.692 |
1.345 |
1.761 |
2.145 |
2.624 |
2.977 |
3.787 |
|
15 |
0.691 |
1.341 |
1.753 |
2.131 |
2.602 |
2.947 |
3.733 |
|
|
|
|
|
|
|
|
|
|
16 |
0.690 |
1.337 |
1.746 |
2.120 |
2.583 |
2.921 |
3.686 |
|
17 |
0.689 |
1.333 |
1.740 |
2.110 |
2.567 |
2.898 |
3.646 |
|
18 |
0.688 |
1.330 |
1.734 |
2.101 |
2.552 |
2.878 |
3.610 |
|
19 |
0.688 |
1.328 |
1.729 |
2.093 |
2.539 |
2.861 |
3.579 |
|
20 |
0.687 |
1.325 |
1.725 |
2.086 |
2.528 |
2.845 |
3.552 |
|
|
|
|
|
|
|
|
|
|
21 |
0.686 |
1.323 |
1.721 |
2.080 |
2.518 |
2.831 |
3.527 |
|
22 |
0.686 |
1.321 |
1.717 |
2.074 |
2.508 |
2.819 |
3.505 |
|
23 |
0.685 |
1.319 |
1.714 |
2.069 |
2.500 |
2.807 |
3.485 |
|
24 |
0.685 |
1.318 |
1.711 |
2.064 |
2.492 |
2.797 |
3.467 |
|
25 |
0.684 |
1.316 |
1.708 |
2.060 |
2.485 |
2.787 |
3.450 |
|
|
|
|
|
|
|
|
|
|
26 |
0.684 |
1.315 |
1.706 |
2.056 |
2.479 |
2.779 |
3.435 |
|
27 |
0.684 |
1.314 |
1.703 |
2.052 |
2.473 |
2.771 |
.3.421 |
|
28 |
0.683 |
1.313 |
1.701 |
2.048 |
2.467 |
2.763 |
3.408 |
|
29 |
0.683 |
1.311 |
1.699 |
2.045 |
2.462 |
2.756 |
3.396 |
|
30 |
0.683 |
1.310 |
1.697 |
2.042 |
2.457 |
2.750 |
3.385 |
|
|
|
|
|
|
|
|
|
|
|
0.674 |
1.282 |
1.645 |
1.960 |
2.326 |
2.576 |
3.090 |
