In parts a, b, and c, use the t-distribution in Appendix B.5 to determine the margin of error in estimating the population mean with a 95% confidence interval if:a. s = 10 and n = 10.b. s = 10 and n = 20.c. s = 10 and n = 30.

d. As sample size increases, how does the margin of error change? What would bethe effect on a confidence interval as sample size increases?

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02711 94873 54921 61545 17147 13746 00000 78804 PAGA 46071 44492 51574 35350 46943 22665 77082 24544 24590 48155 20226 70178 10169 69202 80561 08199 98883 84568 04269 10538 17843 10524 68935 00206 49006 74591 06215 63306 06940 65642 11081 df 0.10 12345 12345 NANG 2N228 df 172 73 74 75 75 7 78 7 80 1 300 1.308 08182 90935 Foogk 00835 19519 04/42 57400 81333 1 202 1.293 26921 67176 Confidence interval 19686 72170 90692 76132 36502 87226 97957 47784 1.292 25649 15558 24545 86226 53752 1.201 1.292 73444 41465 03701 1.29 1.291 20777 95787 26703 28220 69286 35173 13124 24955 72829 76632 09009 22047 87025 00404 82122 69480 46534 1701 75997 31684 06635 02251 1293 1.665 22497 92460 01105 53809 1.293 1.665 1.293 1.665 1.665 28412 BARA 00226 12495 10000 03025 MASA Confidence Intervals, c 80% 90% 95% 9 22201 11838 40098 43370 37738 06435 0.20 0.10 0.05 3.078 6.314 1.886 2.920 1.638 2.353 1.533 2.132 1.476 2.015 ACCA 1.292 1.664 1.29 1:009 40359 90648 38790 20 51935 2859: 21727 89426 95128 39358 76054 1.415 1.89! 1.397 1.860 2.306 1.833 2.262 2.228 95745 36099 40455 47641 46984 29190 296 52368 77103 63003 04028 16500 70057 80% 90% 95% 0.10 0.05 0.025 2.447 2.365 2 201 2,037 2.035 Level of Significance for One-Tailed Test, a 0.05 0.025 Level of Significance for Two-Tailed Test, a 992 1.991 1.991 10000 3.143 2.998 1.990 1.989 2.896 2.821 2.764 2.681 2.650 0.20 1294 1.667 1.666 1.993 2 2.379 1:293 1.666 1.993 1.993 26580 Confidence Intervals. 0.02 0.01 12.706 1.821 63 657 4.303 6.965 9.925 3.182 2.776 4.541 5.841 3747 4.604 2.571 3.365 4.032 2.479 6103 2457 2 449 2445 -t 0 Left-tailed test 79866 63952 20000 87203 1685 09001 40006 22471 96950 42626 42452 93135 2.376 2.376 2.375 5570/ 65689 92124 A6045 57975 2:00 77 N 10433 97962 28007 24840 52758 2872 24362 53626 05711 70013 53893 13140 200 93315 2.313 81511 93325 48599 mm A 53720 21615 Level of Significance for One-Tailed Test, a 2.370 988 1.988 2.370 01712 carve 00117 59410 00965 25050 4501 77353 98% 99% 99.9% 0.01 0.005 0.0005 3.707 3.499 3.355 3.250 3.169 3.106 3.055 N N 2.763 58095 09865 17300 36759 J 42426 53444 N 46034 2.638 2.097 07960 222 28222 001.00 95185 88 Ga 1162 76539 92634 46991 03985 ♡♡ 21564 89845 06779 70722 45685 15364 83314 93780 Level of Significance for Two-Tailed Test, a 0.10 0.05 0.02 0.01 0.001 1994 2.380 2.647 2 646 2.640 09799 63794 51887 86412 09333 80161 80883 86022 37706 82522 80875 92786 72 98% 99% 99.9% 20470 34417 07239 0745 PERE 0.01 0.005 0.0005 40402 39578 0.001 636.619 31.599 12.924 8.610 6.869 2.379 2:070 2377 2643 3425 5.959 5.408 5.041 4.701 4.587 4437 4.318 4.221 4.015 3.965 3.922 3.850 3.819 3.725 3.707 3 674 3,646 3.601 3.591 3.431 3.431 3.423 3.421 m 3.415 20 82 83319 14491 20170 49197 84822 **** 33202 36306 66124 ACACA 72060 77799 05440 27909 35681 33804 21566 51570 28292 72402 71859 90151 69125 00014 18629 79077 53169 16175 57479 12584 83371 36797 77722 44562 21063 28090 22651 04401 EX 70553 1040 10040 01109 77868 4 42 45 4 45 80295 99518 COMED 85967 9259 56/10 22498 51 52 53 54 55 55558 89731 28898 82332 59601 52441 54505 05467 43690 80006 65796 880 73558 78187 62632 83736 46516 12609 19207 68766 88159 97054 ----- 53746 54194 24374 1518 82845 0 t Right-tailed test ---- 52498 57179 936.34 97728 07088 3997 29255 86746 12189 05024 09627 22242 22970 0.20 0.10 36 1.306 688 37 1.305 1.687 38 1.304 1.686 39 1.304 41 1.303 42 1.302 43 1.302 44 1.301 45 1.301 df 0.10 0.05 0.025 88 80% 90% 95% 888 1.682 1.681 1.600 - 1 294 1.668 1.294 1.668 1.294 1.294 79741 93394 ZA 74CA 01704 1:070 1560 49186 55400 56377 19239 1.669 89 1.291 1.662 1.662 95069 67025 32357 88272 0.05 2.028 2.026 2.024 1.685 2.023 1.303 1.684 2.021 50113 21727 00126 25542 72915 27495 06112 53956 06016 49644 57171 69413 24371 33437 60303 46516 52153 31232 11131 39139 84193 4469 20200 52560 89754 47535 05220 55809 33307 05 405 20600 48130 84349 NNNe G 2 A N = ܢܝ Level of Significance for One-Tailed Test, a 74599 34691 Swee Confidence intervals, c 98% 19624 Level of Significance for Two-Tailed Test, 0.05 1.987 1.987 88247 17175 71625 85428 1985 18625 1.660 1.658 1.656 1.654 1.653 1.973 1.653 30667 90610 22024 21119 51141 35599 61056 81466 1.977 1.975 6 34532 08169 24709 94297 92686 -t 0 t Two-tailed test 86857 97016 74639 68519 23259 70339 19197 61782 12219 90900 22448 67877 65766 24937 44143 25658 07292 53628 5148 07067 12245 19202 09184 2.431 2.429 2.426 2.423 2.416 1.994 2.381 Confidence Intervals, c 2 001 2.382 Za 80% 90% 95% Level of Significance for One-Tailed Test, a df 0.10 0.05 0.025 Level of Significance for Two-Tailed Test, a 0.20 0.10 1.986 2.368 1.986 2.368 1.986 2.367 1.986 2.367 1.985 2.366 2.695 6 0.01 0.005 0.0005 1.972 2.345 0.02 0.01 0.001 2434 2.719 3.582 2.715 3.574 2.712 3.566 2.708 69 2.654 2.651 2.650 2,649 2.648 75 74 NNNN तततत 84379 14985 4007 21898 99% 99.9% NNNNN 39967 ***** 08601 55721 92405 22 20850 22921 80631 720.40 84138 75666 89205 2256 57808 11261 == 06978 12529 84870 31702 86290 30782 03040 96196 62727 81877 44032 55920 18172 22571 01549 41210 79548 97687 10*** 20000 12000 10510 51695 90689 70603 98% 99% 99.9% 0.01 0.005 0.0005 0.02 0.01 0.001 2.102 2.369 2.368 2.632 2632 2622 3.402 2631 2.627 3.558 3.551 2.350 2.607 2.347 2.603 2.601 3.532 3.520 4 38 3.515 m ... 3.447 3.444 3.437 3.435 3401 3.399 3.398 3.397 3.396 3.393 3.392 3.390 3.373 3.352 3.340