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(a) a = (Round to four decimal places as needed.) (b) ẞ= (Round to four decimal places as needed.) www.

(a) a = (Round to four decimal places as needed.) (b) ẞ= (Round to four decimal places as needed.) www.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Binomial Probability Sums b(x;n,p) 1=0 P n " 0.10 1 0 0.20 0.25 0.9000 0.8000 0.7500 1 1.0000 1.0000 1.0000 2 0 1 2 3 1 0 0.7290 0.9720 4 0 2 3 4 5 2 1 0.9185 0.7373 0.6328 0.5282 0.9914 0.9421 3 0.9995 0.9933 0.9844 0.9692 0.9130 0.8125 4 1.0000 0.9997 0.9990 0.9976 0.9898 0.9688 0.3370 0.1875 0.0870 0.8965 0.8369 0.6826 0.5000 0.3174 0.6630 0.9222 0.90 0.2000 0.1000 1.0000 1.0000 0.8100 0.6400 0.5625 0.4900 0.3600 0.2500 0.1600 0.0900 0.0400 0.0100 0.9900 0.9600 0.9375 0.9100 0.8400 0.7500 0.6400 0.5100 0.3600 0.1900 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.5120 0.4219 0.3430 0.2160 0.1250 0.0640 0.0270 0.0080 0.0010 0.8960 0.8438 0.7840 0.6480 0.5000 0.3520 0.2160 0.1040 0.0280 2 0.9990 0.9920 0.9844 0.9730 0.9360 0.8750 0.7840 0.6570 0.4880 0.2710 3 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.6561 0.4096 0.3164 0.2401 0.1296 0.0625 0.0256 0.0081 0.0016 0.0001 1 0.9477 0.8192 0.7383 0.6517 0.4752 0.3125 0.1792 0.0837 0.0272 0.0037 0.9963 0.9728 0.9492 0.9163 0.8208 0.6875 0.5248 0.3483 0.1808 0.0523 0.9999 0.9984 0.9961 0.9919 0.9744 0.9375 0.8704 0.7599 0.5904 0.3439 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0 0.5905 0.3277 0.2373 0.1681 0.0778 0.0313 0.0102 0.0024 0.0003 0.0000 0.0308 0.0067 0.0005 0.1631 0.0579 0.0086 0.4718 0.2627 0.0815 0.8319 0.6723 0.4095 0.30 0.40 0.50 0.60 0.70 0.7000 0.6000 0.5000 0.4000 0.3000 1.0000 1.0000 1.0000 1.0000 1.0000 0.80 > > > Binomial Probability Sums b(r;n,p) 2-0 P n 0.10 0.30 8 0 2 0.9619 0.7969 0.6785 3 0.9950 0.9437 0.8862 0.8059 0.5941 0.3633 5 6 7 0.20 0.25 0.40 0.50 0.60 0.70 0.80 0.4305 0.1678 0.1001 0.0576 0.0168 0.0039 0.0007 0.0001 0.0000 1 0.8131 0.5033 0.3671 0.2553 0.1064 0.0352 0.0085 0.0013 0.0001 0.5518 0.3154 0.1445 0.0498 0.0113 0.0012 0.0000 0.1737 0.0580 0.0104 0.0004 4 0.9996 0.9896 0.9727 0.9420 0.8263 0.6367 0.4059 0.1941 0.0563 0.0050 0.9988 1.0000 0,9887 0.8555 0.9502 0.6846 0.2031 0,4482 0.0381 0.9958 0.9999 0.9996 0.9987 0.9915 0.9648 0.8936 0.7447 0.4967 0.1869 1.0000 1.0000 0.9999 0.9993 0.9961 0.9832 0.9424 0.8322 0.5695 0.90 8 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 9 0 1 4 0.3874 0.1342 0.0751 0.0404 0.0101 0.0020 0.0003 0.0000 0.7748 0.4362 0.3003 0.1960 0.0705 0.0195 0.0038 0.0004 0.0000 2 0.9470 0.4628 0.7382 0.6007 0.2318 0.0898 3 0.9917 0.9144 0.8343 0.7297 0.4826 0.2539 0.9991 0.9804 0.9511 0.9012 0.7334 0.5000 5 0.9999 0.9969 0.9900 0.9747 0.9006 0.7461 0.0250 0.0043 0.0003 0.0000 0.0994 0.0253 0.0031 0.0001 0.2666 0.0988 0.0196 0.0009 0.5174 0.2703 0.0856 0.0083 7 6 1.0000 0.9997 0.9987 0.9957 0.9750 0.9102 0.7682 0.5372 0.2618 0.0530 1.0000 0.9999 0.9996 0.9962 0.9805 0.9295 0.8040 0.5638 0.2252 8 9 1.0000 1.0000 0.9997 0.9980 0.9899 0.9596 0.8658 0.6126 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 10 0 0.3487 0.1074 0.0563 0.0282 1 5 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 6 1 2 0 0.5314 0.2621 0.1780 0.1176 0.0467 0.0156 0.0041 0.0007 0.8857 0.6554 0.5339 0.4202 0.2333 0.1094 0.0410 0.9842 0.9011 4 5 0.0001 0.0000 3 4 5 1.0000 0.9999 0.9998 0.9993 0.0109 0.0016 0.0001 0.8306 0.7443 0.5443 0.3438 0.1792 0.0705 0.0170 0.0013 0.9987 0.9830 0.9624 0.9295 0.8208 0.6563 0.4557 0.2557 0.0989 0.0159 0.9999 0.9984 0.9954 0.9891 0.9590 0.8906 0.7667 0.5798 0.3446 0.1143 0.9959 0.9844 0.9533 0.8824 0.7379 0.4686 6 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 8 9 10 11 0 0.3138 0.0859 0.0422 1.0000 0.9999 0.9990 0.9940 0.9718 0.8926 1.0000 1.0000 1.0000 1.0000 1.0000 0.0198 0.0036 0.0005 0.0000 0.6974 0.3221 0.1971 0.1130 0.0302 0.0059 0.0007 0.0000 1 0.3127 0.1189 0.0327 0.0059 0.0006 0.0000 0.0060 0.0010 0.0001 0.0000 0.7361 0.3758 0.2440 0.1493 0.0464 0.0107 0.0017 0.0001 0.0000 2 0.9298 0.6778 0.5256 0.3828 0.1673 0.0547 0.0123 0.0016 0.0001 3 0.9872 0.8791 0.7759 0.6496 0.3823 0.1719 0.0548 0.0106 0.0009 0.0000 0.9984 0.9672 0.9219 0.8497 0.6331 0.3770 0.1662 0.0473 0.0064 0.0001 0.9999 0.9936 0.9803 0.9527 0.8338 0.6230 0.3669 0.1503 0.0328 0.0016 6 1.0000 0.9991 0.9965 0.9894 0.9452 0.8281 0.6177 0.3504 0.1209 0.0128 7 0.9999 0.9996 0.9984 0.9877 0.9453 0.8327 0.6172 0.3222 0.0702 1.0000 1.0000 0.9999 0.9983 0.9893 0.9536 0.8507 0.6242 0.2639 0.6513 1.0000 7 0 0.4783 0.2097 0.1335 0.0824 0.0280 1 0.0078 0.0016 0.0002 0.0000 0.8503 0.5767 0.4449 0.3294 0.1586 0.0625 0.0188 0.0038 0.0004 0.0000 3 0.9973 0.9667 0.9294 0.8740 0.7102 0.5000 0.2898 4 6 0.9984 7 12 " 0.10 0.20 0.40 2 0.9743 0.8520 0.7564 0.6471 0.4199 0.2266 0.0963 0.0288 0.0047 0.0002 0.1260 0.9998 0.9953 0.9871 0.9712 0.9037 0.7734 0.5801 0.3529 5 1.0000 0.9996 0.9987 0.9962 0.9812 0.9375 0.8414 0.6706 1.0000 0.9999 0.9998 0.9922 1.0000 1.0000 1.0000 1.0000 0.25 0.30 0.50 V 0.0333 0.0027 0.1480 0.0257 0.4233 0.1497 0.9720 0.9176 0.7903 0.5217 1.0000 1.0000 1.0000 1.0000 0.60 0.70 0.80 0.90 A Dr P U 1 2 0.9104 0.6174 0.4552 3 0.9815 0.8389 0.7133 0.5696 0.2963 0.1133 0.0293 0.0043 0.0002 4 5 0.9972 0.9496 0.8854 0.7897 0.5328 0.2744 0.0994 0.0216 0.0020 0.0000 0.9997 0,9883 0.9657 0.9218 0,7535 0.5000 0.2465 0,0782 0.0117 0.0003 6 1.0000 0.9980 0.9924 0.9784 0.9006 0.7256 0.4672 0.2103 0.0504 0.0028 0.9998 0.9988 0.9957 0.9707 0.8867 0.7037 0.4304 0.1611 0.0185 1.0000 0.9999 0.9994 0.9941 0,9673 0.8811 0.6873 0.3826 0.0896 1.0000 1.0000 0.9993 0.9941 0.9698 0.6779 0.3026 0.8870 1.0000 0.9995 0.9964 0.9802 0.9141 0.6862 1.0000 1.0000 1.0000 1.0000 1.0000 7 8 9 10 11 12 r 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.80 0.90 P
Transcribed Image Text:Binomial Probability Sums b(x;n,p) 1=0 P n " 0.10 1 0 0.20 0.25 0.9000 0.8000 0.7500 1 1.0000 1.0000 1.0000 2 0 1 2 3 1 0 0.7290 0.9720 4 0 2 3 4 5 2 1 0.9185 0.7373 0.6328 0.5282 0.9914 0.9421 3 0.9995 0.9933 0.9844 0.9692 0.9130 0.8125 4 1.0000 0.9997 0.9990 0.9976 0.9898 0.9688 0.3370 0.1875 0.0870 0.8965 0.8369 0.6826 0.5000 0.3174 0.6630 0.9222 0.90 0.2000 0.1000 1.0000 1.0000 0.8100 0.6400 0.5625 0.4900 0.3600 0.2500 0.1600 0.0900 0.0400 0.0100 0.9900 0.9600 0.9375 0.9100 0.8400 0.7500 0.6400 0.5100 0.3600 0.1900 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.5120 0.4219 0.3430 0.2160 0.1250 0.0640 0.0270 0.0080 0.0010 0.8960 0.8438 0.7840 0.6480 0.5000 0.3520 0.2160 0.1040 0.0280 2 0.9990 0.9920 0.9844 0.9730 0.9360 0.8750 0.7840 0.6570 0.4880 0.2710 3 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0.6561 0.4096 0.3164 0.2401 0.1296 0.0625 0.0256 0.0081 0.0016 0.0001 1 0.9477 0.8192 0.7383 0.6517 0.4752 0.3125 0.1792 0.0837 0.0272 0.0037 0.9963 0.9728 0.9492 0.9163 0.8208 0.6875 0.5248 0.3483 0.1808 0.0523 0.9999 0.9984 0.9961 0.9919 0.9744 0.9375 0.8704 0.7599 0.5904 0.3439 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0 0.5905 0.3277 0.2373 0.1681 0.0778 0.0313 0.0102 0.0024 0.0003 0.0000 0.0308 0.0067 0.0005 0.1631 0.0579 0.0086 0.4718 0.2627 0.0815 0.8319 0.6723 0.4095 0.30 0.40 0.50 0.60 0.70 0.7000 0.6000 0.5000 0.4000 0.3000 1.0000 1.0000 1.0000 1.0000 1.0000 0.80 > > > Binomial Probability Sums b(r;n,p) 2-0 P n 0.10 0.30 8 0 2 0.9619 0.7969 0.6785 3 0.9950 0.9437 0.8862 0.8059 0.5941 0.3633 5 6 7 0.20 0.25 0.40 0.50 0.60 0.70 0.80 0.4305 0.1678 0.1001 0.0576 0.0168 0.0039 0.0007 0.0001 0.0000 1 0.8131 0.5033 0.3671 0.2553 0.1064 0.0352 0.0085 0.0013 0.0001 0.5518 0.3154 0.1445 0.0498 0.0113 0.0012 0.0000 0.1737 0.0580 0.0104 0.0004 4 0.9996 0.9896 0.9727 0.9420 0.8263 0.6367 0.4059 0.1941 0.0563 0.0050 0.9988 1.0000 0,9887 0.8555 0.9502 0.6846 0.2031 0,4482 0.0381 0.9958 0.9999 0.9996 0.9987 0.9915 0.9648 0.8936 0.7447 0.4967 0.1869 1.0000 1.0000 0.9999 0.9993 0.9961 0.9832 0.9424 0.8322 0.5695 0.90 8 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 9 0 1 4 0.3874 0.1342 0.0751 0.0404 0.0101 0.0020 0.0003 0.0000 0.7748 0.4362 0.3003 0.1960 0.0705 0.0195 0.0038 0.0004 0.0000 2 0.9470 0.4628 0.7382 0.6007 0.2318 0.0898 3 0.9917 0.9144 0.8343 0.7297 0.4826 0.2539 0.9991 0.9804 0.9511 0.9012 0.7334 0.5000 5 0.9999 0.9969 0.9900 0.9747 0.9006 0.7461 0.0250 0.0043 0.0003 0.0000 0.0994 0.0253 0.0031 0.0001 0.2666 0.0988 0.0196 0.0009 0.5174 0.2703 0.0856 0.0083 7 6 1.0000 0.9997 0.9987 0.9957 0.9750 0.9102 0.7682 0.5372 0.2618 0.0530 1.0000 0.9999 0.9996 0.9962 0.9805 0.9295 0.8040 0.5638 0.2252 8 9 1.0000 1.0000 0.9997 0.9980 0.9899 0.9596 0.8658 0.6126 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 10 0 0.3487 0.1074 0.0563 0.0282 1 5 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 6 1 2 0 0.5314 0.2621 0.1780 0.1176 0.0467 0.0156 0.0041 0.0007 0.8857 0.6554 0.5339 0.4202 0.2333 0.1094 0.0410 0.9842 0.9011 4 5 0.0001 0.0000 3 4 5 1.0000 0.9999 0.9998 0.9993 0.0109 0.0016 0.0001 0.8306 0.7443 0.5443 0.3438 0.1792 0.0705 0.0170 0.0013 0.9987 0.9830 0.9624 0.9295 0.8208 0.6563 0.4557 0.2557 0.0989 0.0159 0.9999 0.9984 0.9954 0.9891 0.9590 0.8906 0.7667 0.5798 0.3446 0.1143 0.9959 0.9844 0.9533 0.8824 0.7379 0.4686 6 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 8 9 10 11 0 0.3138 0.0859 0.0422 1.0000 0.9999 0.9990 0.9940 0.9718 0.8926 1.0000 1.0000 1.0000 1.0000 1.0000 0.0198 0.0036 0.0005 0.0000 0.6974 0.3221 0.1971 0.1130 0.0302 0.0059 0.0007 0.0000 1 0.3127 0.1189 0.0327 0.0059 0.0006 0.0000 0.0060 0.0010 0.0001 0.0000 0.7361 0.3758 0.2440 0.1493 0.0464 0.0107 0.0017 0.0001 0.0000 2 0.9298 0.6778 0.5256 0.3828 0.1673 0.0547 0.0123 0.0016 0.0001 3 0.9872 0.8791 0.7759 0.6496 0.3823 0.1719 0.0548 0.0106 0.0009 0.0000 0.9984 0.9672 0.9219 0.8497 0.6331 0.3770 0.1662 0.0473 0.0064 0.0001 0.9999 0.9936 0.9803 0.9527 0.8338 0.6230 0.3669 0.1503 0.0328 0.0016 6 1.0000 0.9991 0.9965 0.9894 0.9452 0.8281 0.6177 0.3504 0.1209 0.0128 7 0.9999 0.9996 0.9984 0.9877 0.9453 0.8327 0.6172 0.3222 0.0702 1.0000 1.0000 0.9999 0.9983 0.9893 0.9536 0.8507 0.6242 0.2639 0.6513 1.0000 7 0 0.4783 0.2097 0.1335 0.0824 0.0280 1 0.0078 0.0016 0.0002 0.0000 0.8503 0.5767 0.4449 0.3294 0.1586 0.0625 0.0188 0.0038 0.0004 0.0000 3 0.9973 0.9667 0.9294 0.8740 0.7102 0.5000 0.2898 4 6 0.9984 7 12 " 0.10 0.20 0.40 2 0.9743 0.8520 0.7564 0.6471 0.4199 0.2266 0.0963 0.0288 0.0047 0.0002 0.1260 0.9998 0.9953 0.9871 0.9712 0.9037 0.7734 0.5801 0.3529 5 1.0000 0.9996 0.9987 0.9962 0.9812 0.9375 0.8414 0.6706 1.0000 0.9999 0.9998 0.9922 1.0000 1.0000 1.0000 1.0000 0.25 0.30 0.50 V 0.0333 0.0027 0.1480 0.0257 0.4233 0.1497 0.9720 0.9176 0.7903 0.5217 1.0000 1.0000 1.0000 1.0000 0.60 0.70 0.80 0.90 A Dr P U 1 2 0.9104 0.6174 0.4552 3 0.9815 0.8389 0.7133 0.5696 0.2963 0.1133 0.0293 0.0043 0.0002 4 5 0.9972 0.9496 0.8854 0.7897 0.5328 0.2744 0.0994 0.0216 0.0020 0.0000 0.9997 0,9883 0.9657 0.9218 0,7535 0.5000 0.2465 0,0782 0.0117 0.0003 6 1.0000 0.9980 0.9924 0.9784 0.9006 0.7256 0.4672 0.2103 0.0504 0.0028 0.9998 0.9988 0.9957 0.9707 0.8867 0.7037 0.4304 0.1611 0.0185 1.0000 0.9999 0.9994 0.9941 0,9673 0.8811 0.6873 0.3826 0.0896 1.0000 1.0000 0.9993 0.9941 0.9698 0.6779 0.3026 0.8870 1.0000 0.9995 0.9964 0.9802 0.9141 0.6862 1.0000 1.0000 1.0000 1.0000 1.0000 7 8 9 10 11 12 r 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.80 0.90 P
A study claims that over 25% of those who suffer from osteoarthritis receive measurable relief from an ingredient produced by a particular species of mussel. To test this claim, the mussel extract is to be given to a group of 11 osteoarthritic patients. If 3 or more of the patients receive relief, we shall not reject the null hypothesis that p = 0.25; otherwise, we conclude that p < 0.25. (a) Evaluate α, assuming that p = 0.25. (b) Evaluate ẞ for the alternative p = 0.2. Click here to view page 1 of the table of binomial probability sums. Click here to view page 2 of the table of binomial probability sums. (a) α= (Round to four decimal places as needed.) (b) ẞ= (Round to four decimal places as needed.)
Transcribed Image Text:A study claims that over 25% of those who suffer from osteoarthritis receive measurable relief from an ingredient produced by a particular species of mussel. To test this claim, the mussel extract is to be given to a group of 11 osteoarthritic patients. If 3 or more of the patients receive relief, we shall not reject the null hypothesis that p = 0.25; otherwise, we conclude that p < 0.25. (a) Evaluate α, assuming that p = 0.25. (b) Evaluate ẞ for the alternative p = 0.2. Click here to view page 1 of the table of binomial probability sums. Click here to view page 2 of the table of binomial probability sums. (a) α= (Round to four decimal places as needed.) (b) ẞ= (Round to four decimal places as needed.)
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