Please I need help with this I got wrong answers every single time Areas under the Normal CurveAreas under the Normal Curvez.00.01-3.40.0003 0.0003 0.0003 0.0003-3.3 0.0005 0.0005 0.0005 0.0004-3.2 0.0007 0.0007 0.0006 0.0006-3.1 0.0010 0.0009 0.0009 0.0009-3.0 0.0013 0.0013 0.0013 0.0012-2.9 0.0019 0.0018 0.0018 0.0017-2.8 0.0026 0.0025 0.0024 0.0023-2.7 0.0035 0.0034 0.0033 0.0032-2.6 0.0047 0.0045 0.0044 0.0043-2.5 0.0062 0.0060 0.0059 0.0057-2.4 0.0082 0.0080 0.0078 0.0075-2.3 0.0107 0.0104 0.0102 0.0099.02.03.05.04.06.070.0003 0.00030.0003 0.00030.0004 0.0004 0.0004 0.00040.0006 0.0006 0.0006 0.00050.0008 0.0008 0.0008 0.00080.0012 0.0011 0.0011 0.00110.0016 0.0016 0.0015 0.00150.0023 0.0022 0.0021 0.00210.0031 0.0030 0.0029 0.0028.08.090.0003 0.0002 -3.40.0004 0.0003 -3.30.0005 0.0005 -3.2zZ.00.01.02.03.04.05.06.070.0007 0.0007 -3.10.0010 0.0010 -3.00.30.4-0.3 0.3821 0.3783 0.37452.00.010.0041 0.0040 0.0039 0.00380.0055 0.0054 0.0052 0.00510.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -2.40.0096 0.0094 0.0091 0.0089 0.0087-2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113-2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146-2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 -2.0-1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -1.9-1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.8-1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 -1.7-1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 -1.6-1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 -1.5-1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 -1.4-1.30.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 -1.3-1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 -1.2-1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 -1.1-1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 -1.0-0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611 -0.9-0.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 -0.8-0.7 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 -0.7-0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514-0.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843-0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.31920.3707 0.3669 0.3632 0.3594 0.35570.3483 -0.3-0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 -0.2-0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 -0.1-0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641 -0.0.02.03.04.05.06.07.08.09Z0.0014 0.0014 -2.90.0020 0.0019 -2.80.0027 0.0026 2.70.0037 0.0036 -2.60.0049 0.0048 -2.50.50.0084 -2.30.0110 -2.20.0143 -2.12.70.2483 0.2451 -0.60.28100.2776 -0.50.31560.35200.3121 -0.4¡A2.000.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.52790.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.10.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.20.6179 0.6217 0.62550.6293 0.63310.6368 0.6406 0.6443 0.6480 0.6517 0.30.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.40.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.50.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.60.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.70.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.80.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 0.91.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 1.01.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 1.11.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.21.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.31.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.41.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.51.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 1.61.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.71.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 1.81.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 1.92.0 0.9772 0.9778 0.9783 0.9788 0,9793 0.9798 0.9803 0.9808 0.9812 0.9817 2.02.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 2.12.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.98780.9881 0.9884 0.9887 0.9890 2.22.30.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 2.32.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 2.42.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 2.52.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 2.60.9965 0.9966 0.99670.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 2.72.80.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.82.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 2.93.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 3.03.1 0.9990 0.9991 0.9991 0.9991 0.9992 0.99920.9992 0.9992 0.9993 0.9993 3.13.2 0.99930.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 3.23.3 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 3.33.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 3.4.01.02.03.04.05.06.07.08.09.08.090.5319 0.5359 0.02Z A random sample of size 49 is taken from a normal population having a mean of 70 and a standard deviation of 2. Asecond random sample of size 81 is taken from a different normal population having a mean of 55 and a standarddeviation of 6. Find the probability that the sample mean computed from the 49 measurements will exceed the samplemean computed from the 81 measurements by at least 13.7 but less than 15.4. Assume the difference of the means tobe measured to the nearest tenth.Click here to view page 1 of the standard normal distribution table.Click here to view page 2 of the standard normal distribution table.The probability is(Round to four decimal places as needed.)

Question

Accepted Answer

For the first sample:The sample size, n1=49.The population mean, μ1=70The population standard…