(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.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 5E
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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
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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