Answer the following questions using the z-score chart( attached below) or by using a spreadsheet.

Find the z-score for x = 8 if the mean is 7 and the standard deviation is 2.

Find the percentile for x = 8 if the mean is 7 and the standard deviation is 2.

For a mean of 20 and standard deviation of 5, find  .

For a mean of 75 and a standard deviation of 3, find .

Transcribed Image Text:Standard Normal Cumulative Probability Table Cumulative probabilities for NEGATIVE z-values are shown in the following table: 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 -3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 -3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 -3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0023 0.0016 0.0015 0.0021 0.0029 0.0039 0.0052 0.0015 0.0014 0.0014 0.0026 0.0035 0.0047 -2.8 0.0025 0.0024 0.0023 0.0022 0.0021 0.0020 0.0019 0.0030 0.0040 0.0028 0.0027 -2.7 -2.6 -2.5 0.0034 0.0045 0.0033 0.0032 0.0031 0.0026 0.0036 0.0044 0.0059 0.0043 0.0057 0.0041 0.0038 0.0037 0.0062 0.0060 0.0055 0.0054 0.0051 0.0049 0.0048 -2.4 -2.3 0.0082 0.0080 0.0078 0.0075 0.0073 0.0096 0.0125 0.0071 0.0069 0.0068 0.0066 0.0087 0.0113 0.0064 0.0104 0.0136 0.0102 0.0132 0.0089 0.0116 0.0107 0.0099 0.0091 0.0094 0.0122 0.0158 0.0084 0.0110 0.0143 0.0183 -2.2 0.0139 0.0129 0.0119 -2.1 0.0179 0.0174 0.0170 0.0217 0.0166 0.0212 0.0162 0.0207 0.0154 0.0197 0.0150 0.0192 0.0146 0.0188 -2.0 0.0228 0.0222 0.0202 0.0268 0.0336 0.0418 -1.9 0.0262 0.0256 0.0287 0.0359 0.0446 0.0548 0.0281 0.0351 0.0436 0.0537 0.0274 0.0344 0.0427 0.0526 0.0643 0.0250 0.0314 0.0392 0.0485 0.0594 0.0244 0.0307 0.0384 0.0475 0.0239 0.0301 0.0375 0.0465 0.0571 0.0233 0.0294 0.0367 0.0455 0.0559 -1.8 0.0329 0.0409 0.0505 0.0618 0.0322 0.0401 0.0495 0.0606 -1.7 -1.6 -1.5 0.0516 0.0630 0.0668 0.0655 0.0582 0.0764 0.0918 0.0749 0.0901 0.0694 0.0838 -1.4 0.0735 0.0808 0.0968 0.0793 0.0951 0.0778 0.0934 0.0721 0.0869 0.0708 0.0681 0.0823 -1.3 0.0885 0.0853 -1.2 -1.1 -1.0 0.1093 0.1292 0.1515 0.1056 0.1151 0.1357 0.1587 0.1131 0.1335 0.1562 0.1112 0.1314 0.1539 0.1075 0.1271 0.1492 0.1251 0.1469 0.1038 0.1230 0.1020 0.1210 0.1423 0.1003 0.1190 0.1401 0.0985 0.1170 0.1379 0.1446 -0.9 -0.8 -0.7 -0.6 -0.5 0.1841 0.2119 0.2420 0.2743 0.3085 0.1814 0.2090 0.2389 0.2709 0.3050 0.1788 0.2061 0.2358 0.2676 0.3015 0.1762 0.2033 0.2327 0.2643 0.2981 0.1736 0.2005 0.2296 0.1711 0.1977 0.2266 0.2578 0.2912 0.1685 0.1949 0.2236 0.2546 0.2877 0.1660 0.1922 0.2206 0.2514 0.2843 0.1635 0.1894 0.2177 0.1611 0.1867 0.2148 0.2451 0.2776 0.2611 0.2946 0.2483 0.2810 0.3336 0.3156 -0.4 -0.3 -0.2 -0.1 0.0 0.3446 0.3821 0.4207 0.4602 0.5000 0.3409 0.3783 0.4168 0.4562 0.4960 0.3372 0.3745 0.4129 0.4522 0.4920 0.3707 0.4090 0.4483 0.4880 0.3300 0.3669 0.4052 0.4443 0.4840 0.3264 0.3632 0.4013 0.4404 0.4801 0.3228 0.3594 0.3974 0.4364 0.4761 0.3192 0.3557 0.3936 0.4325 0.4721 0.3520 0.3897 0.4286 0.4681 0.3121 0.3483 0.3859 0.4247 0.4641
Transcribed Image Text:Standard Normal Cumulative Probability Table Cumulative probabilities for POSITIVE z-values are shown in the following table: 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6443 0.6808 0.6103 0.6141 0.3 0.6179 0.6217 0.6255 0.6628 0.6293 0.6331 0.6368 0.6406 0.6480 0.6517 0.6879 0.4 0.6554 0.6591 0.6664 0.6700 0.6736 0.6772 0.6844 0.6950 0.7291 0.5 0.6915 0.6985 0.7019 0.7088 0.7157 0.7054 0.7389 0.7123 0.7190 0.7224 0.6 0.7257 0.7324 0.7357 0.7422 0.7454 0.7486 0.7517 0.7549 0.7 0.7580 0.7611 0.7642 0.7939 0.7673 0.7704 0.7734 0.7764 0.8051 0.8315 0.7794 0.7823 0.7852 0.8 0.9 0.7881 0.7910 0.7967 0.7995 0.8023 0.8078 0.8106 0.8133 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8340 0.8365 0.8389 1.0 0.8413 0.8438 0.8621 0.8461 0.8686 0.8888 0.9066 0.8485 0.8508 0.8531 0.8554 0.8770 0.8962 0.9131 0.9279 0.8577 0.8790 0.8980 0.9147 0.8599 1.1 0.8643 0.8665 0.8708 0.8729 0.8749 0.8810 0.8830 0.9015 0.8907 1.2 1.3 0.8849 0.9032 0.8869 0.8925 0.8944 0.8997 0.9162 0.9049 0.9082 0.9099 0.9115 0.9177 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9292 0.9306 0.9319 0.9357 0.9474 0.9573 0.9656 0.9726 1.5 1.6 0.9406 0.9515 0.9332 0.9452 0.9554 0.9641 0.9713 0.9345 0.9463 0.9564 0.9649 0.9719 0.9370 0.9484 0.9582 0.9664 0.9732 0.9382 0.9495 0.9591 0.9671 0.9738 0.9394 0.9418 0.9525 0.9616 0.9693 0.9756 0.9429 0.9441 0.9545 0.9633 0.9505 0.9535 0.9625 0.9699 0.9761 1.7 1.8 1.9 0.9599 0.9678 0.9744 0.9608 0.9686 0.9750 0.9706 0.9767 0.9808 0.9812 2.0 2.1 2.2 2.3 2.4 0.9772 0.9821 0.9861 0.9893 0.9918 0.9778 0.9826 0.9864 0.9896 0.9920 0.9783 0.9830 0.9868 0.9898 0.9922 0.9788 0.9834 0.9871 0.9901 0.9925 0.9793 0.9838 0.9875 0.9904 0.9927 0.9798 0.9842 0.9878 0.9906 0.9929 0.9803 0.9846 0.9881 0.9909 0.9931 0.9817 0.9857 0.9890 0.9916 0.9936 0.9850 0.9884 0.9854 0.9887 0.9913 0.9934 0.9911 0.9932 0.9945 2.5 2.6 0.9938 0.9953 0.9940 0.9955 0.9941 0.9956 0.9943 0.9957 0.9946 0.9960 0.9948 0.9961 0.9949 0.9962 0.9951 0.9963 0.9973 0.9980 0.9986 0.9952 0.9964 0.9959 2.7 2.8 2.9 0.9965 0.9974 0.9981 0.9966 0.9975 0.9982 0.9967 0.9976 0.9982 0.9968 0.9977 0.9983 0.9969 0.9977 0.9984 0.9970 0.9978 0.9984 0.9971 0.9979 0.9972 0.9979 0.9985 0.9974 0.9981 0.9986 0.9985 3.0 3.1 3.2 3.3 0.9987 0.9990 0.9993 0.9995 0.9987 0.9991 0.9993 0.9995 0.9987 0.9991 0.9994 0.9995 0.9988 0.9991 0.9994 0.9996 0.9997 0.9988 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9994 0.9996 0.9989 0.9992 0.9995 0.9996 0.9990 0.9993 0.9995 0.9996 0.9990 0.9993 0.9995 0.9997 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998

Question

Answer the following questions using the z-score chart( attached below) or by using a spreadsheet.

Accepted Answer

Since you have asked multiple questions, we will solve the first question for you. If you want any…

Answer the following questions using the z-score chart( attached below) or by using a spreadsheet. Find the z-score for x = 8 if the mean is 7 and the standard deviation is 2.