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A study claims that over 40% 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 73 osteoarthritic patients and the critical region is defined to be x<25, where x is the number of osteoarthritic patients who receive relief. If x is not in this region, we shall not reject the null hypothesis that p=0.4; otherwise, we conclude that p<0.4. (a) Evaluate a, assuming that p= 0.4. (b) Evaluate B for the alternative p= 0.3. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) a = (Round to four decimal places as needed.)

A study claims that over 40% 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 73 osteoarthritic patients and the critical region is defined to be x<25, where x is the number of osteoarthritic patients who receive relief. If x is not in this region, we shall not reject the null hypothesis that p=0.4; otherwise, we conclude that p<0.4. (a) Evaluate a, assuming that p= 0.4. (b) Evaluate B for the alternative p= 0.3. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) a = (Round to four decimal places as needed.)

Calculus For The Life Sciences
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.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...
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Areas under the Normal Curve .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.5279 0.5675 0.6064 0.0 0.5040 0.5120 0.5517 0.5160 0.5557 0.5000 0.5080 0.5199 0.5239 0.5319 0.5359 0.0 0.1 0.1 0.2 0.5398 0.5438 0.5478 0.5596 0.5636 0.5714 0.5753 0.6141 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6103 0.6331 0.3 0.4 0.6179 0.6217 0.6255 0.6628 0.6293 0.6664 0.6368 0.6406 0.6443 0.6480 0.6517 0.3 0.4 0.6554 0.6591 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.7088 0.7123 0.7422 0.7734 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7157 0.7190 0.7224 0.5 0.7291 0.7611 0.6 0.7257 0.7357 0.7389 0.7324 0.7642 0.7454 0.7486 0.7517 0.7549 0.7852 0.6 0.7 0.7580 0.7673 0.7704 0.7764 0.7794 0.7823 0.7 0.7881 0.8159 0.8 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.8 0.9 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 0.9 0.8461 1.0 1.1 1.2 0.8621 0.8830 0.8438 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 1.0 1.1 1.2 1.3 0.8413 0.8643 0.8665 0.8686 0.8708 0.8770 0.8729 0.8925 0.8749 0.8790 0.8810 0.8849 0.8962 0.8980 0.8869 0.9049 0.8888 0.8907 0.8944 0.8997 0.9015 1.3 0.9032 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.4 0.9332 0.9452 1.5 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.5 0.9474 0.9505 0.9525 1.6 1.7 0.9463 0.9484 0.9582 0.9664 0.9495 0.9515 0.9535 0.9545 0.9573 0.9656 1.6 1.7 1.8 0.9554 0.9564 0.9649 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.8 1.9 0.9641 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 1.9 0,9772 0.9821 2.0 0,9778 0,9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 2.0 0.9826 0.9842 2.1 2.2 2.3 2.4 0.9830 0.9834 0.9838 0.9846 0.9850 0.9884 0.9911 0.9932 0.9854 0.9857 2.1 2.2 2.3 2.4 0.9861 0.9864 0.9868 0.9871 0.9875 0.987S 0.9881 0.9887 0.9890 0.9893 0.9918 0.9896 0.9898 0.9909 0.9901 0.9925 0.9904 0.9927 0.9906 0.9929 0.9913 0.9916 0.9936 0.9920 0.9922 0.9931 0.9934 0.9941 0.9943 0.9945 0.9948 0.9949 0.9962 2.5 0.9938 0.9940 0.9946 0.9951 0.9952 2.5 0.9963 0.9973 0.9980 0.9957 0.9959 2.6 2.7 2.8 2.9 0.9964 0.9974 0.9981 0.9953 0.9955 0.9966 0.9975 0.9982 0.9956 0.9960 0.9961 2.6 2.7 2.8 2.9 0.9965 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9979 0.9974 0.9981 0.9976 0.9982 0.9978 0.9984 0.9979 0.9985 0.9977 0.9977 0.9983 0.9984 0.9985 0.9986 0.9986
Transcribed Image Text:Areas under the Normal Curve .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.5279 0.5675 0.6064 0.0 0.5040 0.5120 0.5517 0.5160 0.5557 0.5000 0.5080 0.5199 0.5239 0.5319 0.5359 0.0 0.1 0.1 0.2 0.5398 0.5438 0.5478 0.5596 0.5636 0.5714 0.5753 0.6141 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6103 0.6331 0.3 0.4 0.6179 0.6217 0.6255 0.6628 0.6293 0.6664 0.6368 0.6406 0.6443 0.6480 0.6517 0.3 0.4 0.6554 0.6591 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.7088 0.7123 0.7422 0.7734 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7157 0.7190 0.7224 0.5 0.7291 0.7611 0.6 0.7257 0.7357 0.7389 0.7324 0.7642 0.7454 0.7486 0.7517 0.7549 0.7852 0.6 0.7 0.7580 0.7673 0.7704 0.7764 0.7794 0.7823 0.7 0.7881 0.8159 0.8 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.8 0.9 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 0.9 0.8461 1.0 1.1 1.2 0.8621 0.8830 0.8438 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 1.0 1.1 1.2 1.3 0.8413 0.8643 0.8665 0.8686 0.8708 0.8770 0.8729 0.8925 0.8749 0.8790 0.8810 0.8849 0.8962 0.8980 0.8869 0.9049 0.8888 0.8907 0.8944 0.8997 0.9015 1.3 0.9032 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.4 0.9332 0.9452 1.5 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.5 0.9474 0.9505 0.9525 1.6 1.7 0.9463 0.9484 0.9582 0.9664 0.9495 0.9515 0.9535 0.9545 0.9573 0.9656 1.6 1.7 1.8 0.9554 0.9564 0.9649 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.8 1.9 0.9641 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 1.9 0,9772 0.9821 2.0 0,9778 0,9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 2.0 0.9826 0.9842 2.1 2.2 2.3 2.4 0.9830 0.9834 0.9838 0.9846 0.9850 0.9884 0.9911 0.9932 0.9854 0.9857 2.1 2.2 2.3 2.4 0.9861 0.9864 0.9868 0.9871 0.9875 0.987S 0.9881 0.9887 0.9890 0.9893 0.9918 0.9896 0.9898 0.9909 0.9901 0.9925 0.9904 0.9927 0.9906 0.9929 0.9913 0.9916 0.9936 0.9920 0.9922 0.9931 0.9934 0.9941 0.9943 0.9945 0.9948 0.9949 0.9962 2.5 0.9938 0.9940 0.9946 0.9951 0.9952 2.5 0.9963 0.9973 0.9980 0.9957 0.9959 2.6 2.7 2.8 2.9 0.9964 0.9974 0.9981 0.9953 0.9955 0.9966 0.9975 0.9982 0.9956 0.9960 0.9961 2.6 2.7 2.8 2.9 0.9965 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9979 0.9974 0.9981 0.9976 0.9982 0.9978 0.9984 0.9979 0.9985 0.9977 0.9977 0.9983 0.9984 0.9985 0.9986 0.9986
A study claims that over 40% 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 73 osteoarthritic patients and the critical region is defined to be x< 25, where x is the number of osteoarthritic patients who receive relief. If x is not in this region, we shall not reject the null hypothesis that p = 0.4; otherwise, we conclude that p< 0.4. (a) Evaluate a, assuming that p = 0.4. (b) Evaluate Bß for the alternative p = 0.3. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (а) а 3D (Round to four decimal places as needed.)
Transcribed Image Text:A study claims that over 40% 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 73 osteoarthritic patients and the critical region is defined to be x< 25, where x is the number of osteoarthritic patients who receive relief. If x is not in this region, we shall not reject the null hypothesis that p = 0.4; otherwise, we conclude that p< 0.4. (a) Evaluate a, assuming that p = 0.4. (b) Evaluate Bß for the alternative p = 0.3. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (а) а 3D (Round to four decimal places as needed.)
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