Контрольные вопросы
1. Какие оценки параметров называются точечными?
2. Что такое состоятельность, эффективность и несмещенность точечных оценок?
3. В чем состоит метод моментов определения точечных оценок?
4. Что такое доверительный интервал, доверительная вероятность?
5. Что такое
-распределение?
6. Чему равны
параметры
-распределения?
7. Охарактеризуйте распределение Стьюдента.
8. Почему рассмотренный способ построения доверительных интервалов применим только при выборке из нормальной генеральной совокупности?
Исходные данные для лабораторной работы 3
|
№ 1
|
№ 2 |
№ 3 |
№ 4 |
№ 5 |
№ 6 |
№ 7 |
№ 8 |
|
14.0618 |
13.9026 |
9.7201 |
4.5309 |
4.5895 |
1.3838 |
2.7815 |
3.3193 |
|
8.3743 |
9.3662 |
7.0484 |
1.6871 |
2.7518 |
2.2614 |
2.0608 |
2.1679 |
|
10.5340 |
9.8535 |
10.3314 |
2.7670 |
2.5774 |
2.0527 |
2.6861 |
0.7953 |
|
8.3692 |
9.9277 |
9.4375 |
1.6846 |
-0.1472 |
4.1610 |
0.3430 |
2.8549 |
|
6.1272 |
13.5391 |
2.8829 |
0.5636 |
2.7595 |
5.8933 |
4.1759 |
3. 8020 |
|
8.3367 |
9.3665 |
12.8088 |
1.6683 |
4.3083 |
2.0556 |
1.0904 |
2.6005 |
|
6.0887 |
5.5420 |
12.9074 |
0.5443 |
3.5989 |
4.2906 |
1.2135 |
1.3975 |
|
15.8841 |
11.1165 |
11.0593 |
5.4420 |
3.4770 |
2.7852 |
2.0429 |
1.8426 |
|
11.4487 |
12.2644 |
12.3446 |
3.2243 |
2.9288 |
1.0032 |
1.6892 |
1.7857 |
|
14.9212 |
5.6033 |
9.6526 |
4.0696 |
1.4865 |
2.9437 |
1.3375 |
4.7483 |
|
10.94660 |
8.6225 |
7.5382 |
2.9733 |
3.7393 |
2.2365 |
1.2331 |
3.8656 |
|
7.7502 |
18.7922 |
4.8506 |
1.3751 |
1.5352 |
1.8115 |
3.8611 |
2.8041 |
|
10.8847 |
5.9896 |
3.8854 |
2.0423 |
1.1407 |
2.9279 |
0.5610 |
1.2308 |
|
10.9459 |
6.9886 |
11.0175 |
2.9729 |
4.2322 |
2.6340 |
4.3141 |
1.0685 |
|
10.0820 |
12.5703 |
4.2322 |
2.5410 |
2.1104 |
2.0686 |
3.6719 |
1.4731 |
|
10.6369 |
11.2834 |
16.3435 |
2.8184 |
2.0427 |
3.6761 |
0.5940 |
0.8569 |
|
11.7293 |
11.1766 |
9.7315 |
3.3646 |
-1.0828 |
4.9285 |
2.9197 |
1.8717 |
|
9.6295 |
8.7034 |
10.0323 |
2.3147 |
0.0672 |
1.6805 |
2.5044 |
3.4308 |
|
12.5630 |
11.6438 |
7.9443 |
3.7815 |
2.7772 |
0.0763 |
2.7641 |
1.5044 |
|
11.1593 |
9.7334 |
8.0382 |
3.0796 |
1.7421 |
2.3921 |
2.2865 |
1.7567 |
|
8.9934 |
13.6365 |
6.5333 |
1.9967 |
2.9660 |
7.2417 |
-0.4872 |
3.1034 |
|
11.2245 |
7.2417 |
12.0460 |
3.1122 |
4.9154 |
2.8902 |
6.5746 |
0.7403 |
|
10.4674 |
2.4929 |
6.5716 |
2.7337 |
4.7761 |
-0.3142 |
2.3394 |
1.6882 |
|
9.6694 |
9.4939 |
6.5252 |
2.3347 |
0.5675 |
3.3176 |
3.4595 |
5.0764 |
|
10.6279 |
16.3353 |
9.8474 |
2.8139 |
2.3807 |
5.8706 |
3.3276 |
1.5786 |
|
№ 9
|
№ 10 |
№ 11 |
№ 12 |
№ 13 |
№ 14 |
№ 15 |
№ 16 |
|
1.7382 |
4.4513 |
2.3600 |
10.2494 |
14.1791 |
7.7676 |
10.5631 |
11.6386 |
|
-1.3861 |
2.1831 |
1.0242 |
5.6995 |
10.5037 |
9.5229 |
11.1217 |
9.3359 |
|
-1.6256 |
2.4267 |
2.6657 |
7.4272 |
10.1548 |
9.1054 |
10.3722 |
6.5906 |
|
4.6952 |
2.4639 |
2.2187 |
5.6954 |
4.7054 |
13.3220 |
5.6860 |
10.7098 |
|
0.4044 |
4.2695 |
-1.0585 |
3.9017 |
10.5191 |
16.7866 |
13.3519 |
12.6040 |
|
1.7740 |
2.1832 |
3.9044 |
5.6694 |
13.6167 |
9.1112 |
7.1809 |
10.2011 |
|
0.3383 |
0.2710 |
3.9537 |
3.8709 |
12.1978 |
11.5813 |
7.4271 |
7.7950 |
|
1.5354 |
3.0582 |
3.0296 |
11.7073 |
11.9541 |
10.5705 |
9.0859 |
8.6853 |
|
0.2336 |
3.6322 |
3.6723 |
8.1589 |
10.8577 |
7.0065 |
8.3784 |
8.5715 |
|
2.1281 |
0.3016 |
2.3263 |
10.9369 |
7.9731 |
10.8874 |
7.6751 |
14.4966 |
|
1.8812 |
1.8112 |
1.2691 |
7.7573 |
12.4787 |
9.4730 |
7.4662 |
12.7312 |
|
1.5380 |
6.8961 |
-0.0746 |
5.2002 |
8.0704 |
8.6231 |
12.7223 |
10.6083 |
|
4.7133 |
0.4948 |
-0.5572 |
7.7078 |
7.2814 |
10.8569 |
6.1220 |
7.4617 |
|
3.4592 |
0.9943 |
3.0087 |
7.7567 |
13.4644 |
10.2680 |
13.6282 |
7.1370 |
|
3.8422 |
3.7851 |
-0.3638 |
7.0656 |
9.2208 |
9.1373 |
12.3438 |
7.9462 |
|
1.1830 |
3.1417 |
5.6717 |
7.5095 |
9.0854 |
12.3522 |
6.1881 |
6.7139 |
|
2.2497 |
3.0883 |
2.3657 |
8.3834 |
2.8342 |
14.8570 |
10.8395 |
8.7435 |
|
4.5758 |
1.8517 |
2.5161 |
6.7036 |
5.1345 |
8.3611 |
10.0088 |
11.8617 |
|
3.8170 |
3.3219 |
1.4721 |
9.0504 |
10.5544 |
5.1526 |
10.5282 |
8.0089 |
|
3.1059 |
2.3667 |
1.5191 |
7.9274 |
8.4842 |
9.7842 |
9.5731 |
8.5134 |
|
-0.2022 |
4.3182 |
0.7666 |
6.1947 |
10.9320 |
19.4835 |
4.0255 |
11.2069 |
|
1.4266 |
1.1208 |
3.5230 |
7.9796 |
14.8308 |
10.7805 |
18.1493 |
6.4807 |
|
2.6497 |
-1.2535 |
0.7858 |
7.3739 |
14.5522 |
4.3714 |
9.6788 |
8.3764 |
|
1.2410 |
2.2469 |
0.7626 |
6.7355 |
6.1350 |
11.6352 |
11.9190 |
15.1529 |
|
1.9082 |
5.6676 |
2.4237 |
7.5023 |
9.7615 |
16.7412 |
11.6553 |
8.1572 |
|
№ 17
|
№ 18 |
№ 19 |
№ 20 |
№ 21 |
№ 22 |
№ 23 |
№ 24 |
|
8.4764 |
10.3432 |
5.2141 |
7.4505 |
8.3109 |
5.7811 |
10.122 |
6.7761 |
|
2.2277 |
7.4030 |
6.6183 |
7.8973 |
6.4687 |
0.7822 |
6.4929 |
4.6387 |
|
1.7486 |
7.1239 |
6.2843 |
7.2977 |
4.2724 |
0.3988 |
6.8828 |
7.2651 |
|
14.3904 |
2.7643 |
9.6576 |
3.5488 |
7.5678 |
10.5123 |
6.9422 |
6.5500 |
|
5.8089 |
7.4153 |
12.4253 |
9.6815 |
9.0832 |
3.6471 |
9.8312 |
1.3063 |
|
8.5481 |
9.8934 |
6.2890 |
4.7447 |
7.1609 |
5.8385 |
6.4932 |
9.2470 |
|
5.6767 |
8.7583 |
8.2650 |
4.9416 |
5.2360 |
3.5413 |
3.4336 |
9.3259 |
|
8.0708 |
8.5633 |
7.4564 |
6.2687 |
5.9482 |
5.4567 |
7.8932 |
7.8474 |
|
5.4673 |
7.6861 |
4.6052 |
5.7027 |
5.8572 |
3.3738 |
8.8115 |
8.8757 |
|
9.2562 |
5.3784 |
7.7099 |
5.1400 |
10.5973 |
6.4049 |
3.4826 |
6.7221 |
|
8.7625 |
8.9829 |
6.5784 |
4.9739 |
9.1850 |
6.0100 |
5.8980 |
5.0306 |
|
8.0761 |
5.4563 |
5.8985 |
9.1778 |
7.4866 |
5.4609 |
14.033 |
2.8805 |
|
14.4267 |
4.8251 |
7.6847 |
3.8976 |
4.9694 |
10.541 |
3.7917 |
2.1083 |
|
11.9385 |
9.7715 |
7.2144 |
9.9026 |
4.7096 |
8.5508 |
5.5909 |
7.8140 |
|
12.6844 |
6.3767 |
6.3099 |
8.8750 |
5.3569 |
9.1475 |
9.0562 |
2.3858 |
|
7.3661 |
6.2683 |
8.8817 |
3.9504 |
4.3711 |
4.8923 |
8.0267 |
12.0748 |
|
9.4994 |
1.2673 |
10.8856 |
7.6716 |
5.9948 |
6.5995 |
7.9413 |
6. 7852 |
|
14.1516 |
3.1076 |
5.6889 |
7.0070 |
8.4894 |
10.322 |
5.6527 |
7.0259 |
|
12.6341 |
7.4435 |
3.1221 |
7.4225 |
5.4071 |
9.1073 |
8.3151 |
5.3554 |
|
11.2119 |
5.7873 |
6.8284 |
6.6585 |
5.8107 |
7.9795 |
6.7867 |
5.4305 |
|
4.5955 |
7.7456 |
14.5868 |
2.2204 |
7.9655 |
2.6764 |
9.9092 |
4.2267 |
|
7.8532 |
10.8647 |
7.6244 |
13.5195 |
4.1846 |
5.2826 |
4.4933 |
8.6368 |
|
10.2995 |
10.6417 |
2.4971 |
6.7430 |
5.7011 |
7.2396 |
0.9943 |
4.2573 |
|
7.4821 |
3.9080 |
8.3081 |
8.5352 |
11.1223 |
4.9857 |
6.5951 |
4.2201 |
|
8.8164 |
6.8092 |
12.3929 |
8.3243 |
5.5257 |
6.0531 |
12.068 |
6.8779 |
|
№ 25
|
№ 26 |
№ 27 |
№ 28 |
№ 29 |
№ 30 |
|
2.7079 |
2.7860 |
-1.4882 |
0.3754 |
1.0924 |
-1.0156 |
|
-1.0837 |
0.3358 |
-0.3180 |
0.7478 |
-0.4427 |
-5.1814 |
|
0.3560 |
0.1032 |
-0.5963 |
0.2481 |
-2.2729 |
-5.5009 |
|
-1.0871 |
-3.5296 |
2.2147 |
-2.8759 |
0.4732 |
2.9269 |
|
-2.5818 |
0.3461 |
4.5244 |
2.2346 |
1.7360 |
-2.7940 |
|
-1.1088 |
2.4111 |
-0.5924 |
-1.8793 |
0.1340 |
-0.9679 |
|
-2.6075 |
1.4652 |
1.0542 |
-1.7152 |
-1.4699 |
-2.8821 |
|
3.9227 |
1.3027 |
0.3803 |
-0.6093 |
-0.8764 |
-1.2860 |
|
0.9658 |
0.5718 |
-1.9956 |
-1.0810 |
-0.9522 |
-3.0217 |
|
3.2808 |
-1.3521 |
0.5916 |
-1.5499 |
2.0077 |
-0.4958 |
|
0.6310 |
1.6524 |
-0.3513 |
-1.6891 |
1.8208 |
-0.8249 |
|
-1.4998 |
-1.2863 |
-0.9178 |
1.8148 |
0.4055 |
-1.2825 |
|
0.5898 |
-1.8123 |
0.5706 |
-2.5853 |
-1.6921 |
2.9511 |
|
0.6464 |
2.3096 |
0.1786 |
2.4188 |
-1.9086 |
1.2923 |
|
0.0546 |
-0.5194 |
-0.5750 |
1.5625 |
-1.3691 |
1.7896 |
|
0.4246 |
-0.6097 |
1.5681 |
-2.5412 |
-2.1907 |
-1.7559 |
|
1.1528 |
-4.7771 |
3.2380 |
0.5597 |
-0.8376 |
-0.3337 |
|
-0.2469 |
-3.2436 |
-1.0925 |
0.0059 |
1.2411 |
2.7677 |
|
1.7086 |
0.3696 |
-3.2315 |
0.3521 |
-1.3273 |
1.7561 |
|
0.7728 |
-1.0105 |
-0.1438 |
-0.2845 |
-0.9910 |
0.8079 |
|
-0.6710 |
0.6213 |
6.3223 |
-3.9829 |
0.8046 |
-3.6029 |
|
0.8163 |
3.2250 |
0.5200 |
5.4329 |
-2.3461 |
-1.4311 |
|
0.3116 |
3.0348 |
-3.7523 |
-0.2141 |
-1.0823 |
0.1997 |
|
-0.2203 |
-2.5766 |
1.0901 |
1.2793 |
3.4352 |
-1.6785 |
|
0.4186 |
-0.1589 |
4.4941 |
1.1035 |
-1.2285 |
-0.7890 |