t distribution table

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t distribution: Critical t values Degrees of Freedom 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 45 50 Area in One Tail 0.005 Area in Two Tails 0.01 63.657 9.925 5.841 4.604 4.032 3.707 3.499 3.355 3.25 3.169 3.106 3.055 3.012 2.977 2.947 2.921 2.898 2.878 2.861 2.845 2.831 2.819 2.807 2.797 2.787 2.779 2.771 2.763 2.756 2.75 2.744 2.738 2.733 2.728 2.724 2.719 2.715 2.712 2.708 2.704 2.69 2.678 0.01 0.025 0.05 0.1 0.02 31.821 6.965 4.541 3.747 3.365 3.143 2.998 2.896 2.821 2.764 2.718 2.681 2.65 2.624 2.602 2.583 2.567 2.552 2.539 2.528 2.518 2.508 2.5 2.492 2.485 2.479 2.473 2.467 2.462 2.457 2.453 2.449 2.445 2.441 2.438 2.434 2.431 2.429 2.426 2.423 2.412 2.403 0.05 12.706 4.303 3.182 2.776 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.16 2.145 2.131 2.12 2.11 2.101 2.093 2.086 2.08 2.074 2.069 2.064 2.06 2.056 2.052 2.048 2.045 2.042 2.04 2.037 2.035 2.032 2.03 2.028 2.026 2.024 2.023 2.021 2.014 2.009 0.1 6.314 2.92 2.353 2.132 2.015 1.943 1.895 1.86 1.833 1.812 1.796 1.782 1.771 1.761 1.753 1.746 1.74 1.734 1.729 1.725 1.721 1.717 1.714 1.711 1.708 1.706 1.703 1.701 1.699 1.697 1.696 1.694 1.692 1.691 1.69 1.688 1.687 1.686 1.685 1.684 1.679 1.676 0.2 3.078 1.886 1.638 1.533 1.476 1.44 1.415 1.397 1.383 1.372 1.363 1.356 1.35 1.345 1.341 1.337 1.333 1.33 1.328 1.325 1.323 1.321 1.319 1.318 1.316 1.315 1.314 1.313 1.311 1.31 1.309 1.309 1.308 1.307 1.306 1.306 1.305 1.304 1.304 1.303 1.301 1.299 60 70 80 90 100 200 300 400 500 1000 2000 Large Degrees of Freedom 2.66 2.648 2.639 2.632 2.626 2.601 2.592 2.588 2.586 2.581 2.578 2.576 Area in One Tail 0.005 Area in Two Tails 0.01 2.39 2.381 2.374 2.368 2.364 2.345 2.339 2.336 2.334 2.33 2.328 2.326 2 1.994 1.99 1.987 1.984 1.972 1.968 1.966 1.965 1.962 1.961 1.96 1.671 1.667 1.664 1.662 1.66 1.653 1.65 1.649 1.648 1.646 1.646 1.645 1.296 1.294 1.292 1.291 1.29 1.286 1.284 1.284 1.283 1.282 1.282 1.282 0.01 0.03 0.05 0.1 0.02 0.05 0.1 0.2 Negative z Scores Standard Normal (z) Distribution: Cumulative Area from the Left z negative 3.50 and lower -3.4 -3.3 -3.2 -3.1 -3 -2.9 -2.8 -2.7 -2.6 -2.5 -2.4 -2.3 -2.2 -2.1 -2 -1.9 -1.8 -1.7 -1.6 -1.5 -1.4 -1.3 -1.2 -1.1 -1 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 negative 0.0 Note: For values of z below -3.49, use 0.0001 for the area. *Use these common values that result from interpolation: z score 0 0.0001 0.0003 0.0005 0.0007 0.001 0.0013 0.0019 0.0026 0.0035 0.0047 0.0062 0.0082 0.0107 0.0139 0.0179 0.0228 0.0287 0.0359 0.0446 0.0548 0.0668 0.0808 0.0968 0.1151 0.1357 0.1587 0.1841 0.2119 0.242 0.2743 0.3085 0.3446 0.3821 0.4207 0.4602 0.5 Area -1.645 -2.575 0.05 0.005 0.01 0.02 0.0003 0.0005 0.0007 0.0009 0.0013 0.0018 0.0025 0.0034 0.0045 0.006 0.008 0.0104 0.0136 0.0174 0.0222 0.0281 0.0351 0.0436 0.0537 0.0655 0.0793 0.0951 0.1131 0.1335 0.1562 0.1814 0.209 0.2389 0.2709 0.305 0.3409 0.3783 0.4168 0.4562 0.496 0.0003 0.0005 0.0006 0.0009 0.0013 0.0018 0.0024 0.0033 0.0044 0.0059 0.0078 0.0102 0.0132 0.017 0.0217 0.0274 0.0344 0.0427 0.0526 0.0643 0.0778 0.0934 0.1112 0.1314 0.1539 0.1788 0.2061 0.2358 0.2676 0.3015 0.3372 0.3745 0.4129 0.4522 0.492 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0003 0.0004 0.0006 0.0009 0.0012 0.0017 0.0023 0.0032 0.0043 0.0057 0.0075 0.0099 0.0129 0.0166 0.0212 0.0268 0.0336 0.0418 0.0516 0.063 0.0764 0.0918 0.1093 0.1292 0.1515 0.1762 0.2033 0.2327 0.2643 0.2981 0.3336 0.3707 0.409 0.4483 0.488 0.0003 0.0004 0.0006 0.0008 0.0012 0.0016 0.0023 0.0031 0.0041 0.0055 0.0073 0.0096 0.0125 0.0162 0.0207 0.0262 0.0329 0.0409 0.0505 0.0618 0.0749 0.0901 0.1075 0.1271 0.1492 0.1736 0.2005 0.2296 0.2611 0.2946 0.33 0.3669 0.4052 0.4443 0.484 0.0003 0.0004 0.0006 0.0008 0.0011 0.0016 0.0022 0.003 0.004 0.0054 0.0071 0.0094 0.0122 0.0158 0.0202 0.0256 0.0322 0.0401 0.0495 0.0606 0.0735 0.0885 0.1056 0.1251 0.1469 0.1711 0.1977 0.2266 0.2578 0.2912 0.3264 0.3632 0.4013 0.4404 0.4801 0.0003 0.0004 0.0006 0.0008 0.0011 0.0015 0.0021 0.0029 0.0039 0.0052 0.0069 0.0091 0.0119 0.0154 0.0197 0.025 0.0314 0.0392 0.0485 0.0594 0.0721 0.0869 0.1038 0.123 0.1446 0.1685 0.1949 0.2236 0.2546 0.2877 0.3228 0.3594 0.3974 0.4364 0.4761 0.0003 0.0004 0.0005 0.0008 0.0011 0.0015 0.0021 0.0028 0.0038 0.0051 0.0068 0.0089 0.0116 0.015 0.0192 0.0244 0.0307 0.0384 0.0475 0.0582 0.0708 0.0853 0.102 0.121 0.1423 0.166 0.1922 0.2206 0.2514 0.2843 0.3192 0.3557 0.3936 0.4325 0.4721 0.0003 0.0004 0.0005 0.0007 0.001 0.0014 0.002 0.0027 0.0037 0.0049 0.0066 0.0087 0.0113 0.0146 0.0188 0.0239 0.0301 0.0375 0.0465 0.0571 0.0694 0.0838 0.1003 0.119 0.1401 0.1635 0.1894 0.2177 0.2483 0.281 0.3156 0.352 0.3897 0.4286 0.4681 0.0002 0.0003 0.0005 0.0007 0.001 0.0014 0.0019 0.0026 0.0036 0.0048 0.0064 0.0084 0.011 0.0143 0.0183 0.0233 0.0294 0.0367 0.0455 0.0559 0.0681 0.0823 0.0985 0.117 0.1379 0.1611 0.1867 0.2148 0.2451 0.2776 0.3121 0.3483 0.3859 0.4247 0.4641 Positive z Scores Standard Normal (z) Distribution: Cumulative Area from the Left z 0 0.5 0.5398 0.5793 0.6179 0.6554 0.6915 0.7257 0.758 0.7881 0.8159 0.8413 0.8643 0.8849 0.9032 0.9192 0.9332 0.9452 0.9554 0.9641 0.9713 0.9772 0.9821 0.9861 0.9893 0.9918 0.9938 0.9953 0.9965 0.9974 0.9981 0.9987 0.999 0.9993 0.9995 0.9997 0.9999 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3 3.1 3.2 3.3 3.4 3.50 and up Note: For values of z above 3.49, use 0.9999 for the area. *Use these common values that result from interpolation: z score Area 1.645 2.575 Common Critical Values Confidence Level 0.95 0.995 Critical Value 0.9 1.645 0.01 0.504 0.5438 0.5832 0.6217 0.6591 0.695 0.7291 0.7611 0.791 0.8186 0.8438 0.8665 0.8869 0.9049 0.9207 0.9345 0.9463 0.9564 0.9649 0.9719 0.9778 0.9826 0.9864 0.9896 0.992 0.994 0.9955 0.9966 0.9975 0.9982 0.9987 0.9991 0.9993 0.9995 0.9997 0.02 0.508 0.5478 0.5871 0.6255 0.6628 0.6985 0.7324 0.7642 0.7939 0.8212 0.8461 0.8686 0.8888 0.9066 0.9222 0.9357 0.9474 0.9573 0.9656 0.9726 0.9783 0.983 0.9868 0.9898 0.9922 0.9941 0.9956 0.9967 0.9976 0.9982 0.9987 0.9991 0.9994 0.9995 0.9997 0.95 0.99 1.96 2.575 0.03 0.512 0.5517 0.591 0.6293 0.6664 0.7019 0.7357 0.7673 0.7967 0.8238 0.8485 0.8708 0.8907 0.9082 0.9236 0.937 0.9484 0.9582 0.9664 0.9732 0.9788 0.9834 0.9871 0.9901 0.9925 0.9943 0.9957 0.9968 0.9977 0.9983 0.9988 0.9991 0.9994 0.9996 0.9997 0.04 0.516 0.5557 0.5948 0.6331 0.67 0.7054 0.7389 0.7704 0.7995 0.8264 0.8508 0.8729 0.8925 0.9099 0.9251 0.9382 0.9495 0.9591 0.9671 0.9738 0.9793 0.9838 0.9875 0.9904 0.9927 0.9945 0.9959 0.9969 0.9977 0.9984 0.9988 0.9992 0.9994 0.9996 0.9997 0.05 0.5199 0.5596 0.5987 0.6368 0.6736 0.7088 0.7422 0.7734 0.8023 0.8289 0.8531 0.8749 0.8944 0.9115 0.9265 0.9394 0.9505 0.9599 0.9678 0.9744 0.9798 0.9842 0.9878 0.9906 0.9929 0.9946 0.996 0.997 0.9978 0.9984 0.9989 0.9992 0.9994 0.9996 0.9997 0.06 0.5239 0.5636 0.6026 0.6406 0.6772 0.7123 0.7454 0.7764 0.8051 0.8315 0.8554 0.877 0.8962 0.9131 0.9279 0.9406 0.9515 0.9608 0.9686 0.975 0.9803 0.9846 0.9881 0.9909 0.9931 0.9948 0.9961 0.9971 0.9979 0.9985 0.9989 0.9992 0.9994 0.9996 0.9997 0.07 0.5279 0.5675 0.6064 0.6443 0.6808 0.7157 0.7486 0.7794 0.8078 0.834 0.8577 0.879 0.898 0.9147 0.9292 0.9418 0.9525 0.9616 0.9693 0.9756 0.9808 0.985 0.9884 0.9911 0.9932 0.9949 0.9962 0.9972 0.9979 0.9985 0.9989 0.9992 0.9995 0.9996 0.9997 0.08 0.5319 0.5714 0.6103 0.648 0.6844 0.719 0.7517 0.7823 0.8106 0.8365 0.8599 0.881 0.8997 0.9162 0.9306 0.9429 0.9535 0.9625 0.9699 0.9761 0.9812 0.9854 0.9887 0.9913 0.9934 0.9951 0.9963 0.9973 0.998 0.9986 0.999 0.9993 0.9995 0.9996 0.9997 0.09 0.5359 0.5753 0.6141 0.6517 0.6879 0.7224 0.7549 0.7852 0.8133 0.8389 0.8621 0.883 0.9015 0.9177 0.9319 0.9441 0.9545 0.9633 0.9706 0.9767 0.9817 0.9857 0.989 0.9916 0.9936 0.9952 0.9964 0.9974 0.9981 0.9986 0.999 0.9993 0.9995 0.9997 0.9998 ...
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T distribution table
A data set includes 105 body temperatures of healthy adult humans for which 𝑥̅ = 98.7º𝐹
and 𝑠 = 0.64º𝐹. Complete parts (a) and (b) below.

a. What is the best point estimate of the mean body temperature of all healthy
humans?

The best point estimate is 98.7ºF

b. Using the sample stat...

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