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A bank teller serves customers standing in the queue one by one. Suppose that the service time X; for customer i has mean Hi = 4.8 (minutes) and standard deviation 0; = 2.9. We assume that service times for different bank customers are independent. Let Y be the average time the bank teller spends serving 34 customers. Probabilities for the standard normal distribution TABLE of CRITICAL VALUES for STUDENT'S DISTRIBUTIONS Chi-Square Distribution Table Probability Table entry for is the probability lying to the left of The shaded area is equal to a forx 112 4.023 1057 1121 Column headings denote probabilities (@) above tabulated values d d.1. 0.40 0.250.10 0.05 0.04 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 1 10.325 1000 3.078 6.314 7916 12.706 15.89431.821 63 656 127 321 318.291636.578 2 0.289 08161.888 2.920 3.33 4.303 4.849 8.955 19.925 14.089 22.32031.800 30.277 0.7651.638 2.353 2.605 3.182 3.482 5.8417.453 10.214 12.924 40271741153321 2.132 2333 2.776 2999 3.747 4.604 6.598 7.173 8610 5 02570R1678 2.0152.191 2.571 2.757 3.365 4.032 4 6.569 60.265 0.713 1.440 1.943 2104 2.447 2.612 3.1433.707 4. + 4.317 752 5.200 5.950 7 026311411462046236525172990 34 4.020 4.785408 80.262 0.7061307 1.8603 2004 2.306 2.449 2.896 3355 3.833 4,501 5.041 90.261 0.703 1.383 1.8331 1.973 2.262 2.39827821 3250 3.600 4.297 4.781 10 100.2600 700 1.372 18 1.94 2228 2.350 2.764 3.109 3.581 4.144 4587 110.250 0.697 1.363 1.7 1907 2.201 2328 2.718 3.106 3.497 120 250 117 1.782191224179 23032681 30553428 3.930 4318 0.250 0.6041 1.350 1.771189922190 2 282 2650 3.01233723.852 4221 140.250 1345 1.701 2.145 2 264 2624 29773.3263.787 4140 15 1502691 1341 11878124131 2449 2602 3 2863.733 4073 16 0.258OBRO 1.337 1.746 1.869 2.120 2.235 2.583 2.921 3.252 3.686 4.015 17 0.257 706891 1333 1.740 1 862 2.110 2 2242 567 28.98 3.2223.046 3.965 18 10 0257 1.330 1.734 2.101 2214 27562 2878 3.191 3.610 3.922 19 0.25761 1.328 1.729 1.850 2.093 2.205 2.539 2861 3.174 3.578 3.883 20 0.25706877 1:326 1.7251844 2.086 2.19727628278453163 3.662350 21 0.257 076661.323 1.7211840 2080 2.189 2.5182631 3.1353.527 3619 22 026 DEG 1.717 2.074 2.183 2508 2.3193.119 3.506 3.792 23 0.204 1319 2.069 21772500 27807 3.104 3.46 3.768 24 0.256 0.685 1.310 1.711 1.8202.064 2.172 2492 2.797 3.091 3.467 3.745 250.2664 1316 1.700 1252060 22167 2787 37676 3450 3.725 26 0.256 0.654 1.315 1.706 1822 2.056 2.162 2479 2.779 3.067 3435 3.707 27 0.256.84 1.314 1.7031 810 2.052 2.158 2.473 2.771 3.057 3.421 3.580 28 0.256 1.313 1.701 1817 2704 2,1542.467 2.763 3.047 3.408 3.674 29 0.256 068313111 1.899 1814 2.045 2.150 2462 2756 3.038 3.396 3.660 30025631310 1697 1812 2042 2.147 2.457 2750 30303386 3646 310.256 0.6621. 1.300 1.896 1810 2.040 2144 2.453 2744 3.022 320.255 068213 3.373 1.300 9 1.694 1 800 2037 2.141 27440 2738 3.015 3.305 3.622 33 0.25601682 1308 81.892 1.892 1803 2.035 213824452733 3.0083356 37611 34 4 0.255682 0.682 1.307 1.891 1.805 2.032 2.136 2.441 2728 3.002 3.348 3001 350.2562 2306 1.800 2030 2724 2.990MO 360 2561016811 1306 1.888 1802 2028 27131 27434 2719 2990 3.333 37582 37 0.25511 1.305 1.687 1800 2.026 2.129 2.431 2715 2.985 3.326 3.574 30.25611 304 1.600 1.79927024 2121 27429 271220 3566 39 0.255 0.1 1,304 1.685 2.023 2.125 2.426 2700 27978 3.313 40 0.255811 1.303 1.684 1.7962.621 2.1232423 2704 2971 3.307 3.551 600.254 06791 1.200 1,671 1781 2.000 2099 2390 2.650 29153.2323.450 30 0.254 0.6781 1.292 1.664 1.773 1.990 2.088 2.374 2630 2.887 3.196 3.410 100025471 1 290 11660 176 1.984 2081 23642680 2.871 3.174 3.390 1200 25406771289 1.858 1 768 1.980 20762358 2617 2860 3.160 3.373 140 0.254 0.676 1288 1,69 1783 1.977 2.073 2 353 2611 2852 3.140 3.361 160 0254 06112165417 1.975 24 2607 2847 180 6 3 02.078 12881 1.653 1761 1.973 2009 2347 2 603 2.842 3.130 3.345 200 0.254 0678 1286 1.653 1760 19 20672345260128383.1313340 250 0.254 0.675 1.285 1.651 1.758 1.989 2,0852.341259326323.1233.330 inf 0.253 06741262 1.645 1.751 1.90 2054 2.326 2.576 2.8073.000 2200 00 01 02 03 04 05 06 07 (19 0.0 0.5000 0.5040 5080 0.5120 0.5160 0.5199 0.5239 05279 0.5319 0.5359 0.1 0.5398 0.5438 05478 0.5517 0.5557 0.5596 0.5636 05675 0.5714 05753 0.2 0.5793 0.5832 0.587 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6106 0.6443 0.6480 0.6517 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.7 0.750 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.9 0.81.59 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 LO 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 LI 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.3 0.9032 0.9019 0.9066 0.9082 0.9099 0.9115 09131 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 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9999 0.9608 0.9616 0.9625 0.9633 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 20 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 09808 0.9812 09817 21 0.9821 0.9826 0.9830 0.9834 09838 0.9842 0.9846 09890 0.9854 09857 22 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 09884 0.9887 0.9890 23 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 24 0.9918 0.9920 0.9922 0.9925 09927 0.9929 0.9931 0.9932 09934 0.9936 25 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.99448 0.9949 0.9951 0.9952 26 0.9953 0.9955 0.9956 0.9997 0.9959 0.9960 0.9961 09962 0.9963 09964 27 0.9965 0.9966 0.9967 0.9968 0.9269 0.9970 0.9971 09972 0.9973 0.9974 28 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 29 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0 9989 0.9990 0.9990 3.1 0.9990 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 32 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9999 0.9995 33 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 0 0.631 di 1 สาย X เนย 1 BAND 0.001 DIM 016 27 341 5034 7679 2 QUOIO 0.000 0.051 0.105 0.211 405 5.901 7.375 9.210 0,072 0.115 0.216 0.352 0.584 6.251 7.815 9.345 11.345 12.30 4 0.99 0.08 0.711 10 7.774 AR 11.143 137 HAN 5 0412 0.554 0.831 1.145 1.610 9.30 11.070 12.3 15.056 16.750 5 376 22 10S 122502 11419 16.812 16.15 7 7 GO 1239 1. 2.167 2 R 12017 14.0GT 16.013 18 475 2018 1.344 1.646 2.150 2.733 3.00 13.362 15.507 17.558 20.000 21.965 9 2.0 2.700 3.325 16 16 16.919 19.023 21.666 23.589 10 2.156 2.568 3.27 3.900 4.66 15.7 18.307 20.461 23.209 25.18 11 2508 3.063 3.816 4.875 5.57817275 19.675 21.920 24.25 25.757 12 3.074 3571 4.004 5.225 6.304 15.549 21.026 23.337 26.217 25.300 13 1.15 4.10T 5.009 5.882 7042 19.812 22.362 24.736 27. 29 519 14 4.075 4.600 5.629 6.71 7.790 21.064 25.1192.141 31.319 15 4601 5.229 6.2627.261 8.547 22.307 21.00 27,45830878 32.501 3.142 5812 6.07.2 9.312 24.ES 5.697 22.000 17 6.408 7.864 10. 24709 27. SHT 30.191 3571 15 6.265 T.015 8.231 10.868 25.389 28.869 31.526 1.506 37. 156 19 6.844 7633 8.907 30.117 11.651 27.204 30.146 32.852 36.191 38 52 20 7434 82609.50110851 12.443 28.412 31.410 34.170 37.566 29.997 21 8,034 8.80T 10.353 11.891 13.210 22.615322671 35.47938.82 41401 22 8.643 9.542 10.982 12.338 14.011 30813 33.994 37 10.299 12.790 23 10.196 11.69 13.091 14. SIN 32.00735.172 31.076 41. 46.181 24 9.86 10.866 12.01 13.868 15.6503196 3.41 33364 12.90 45 60 25 10.520 11.524 13.120 14611 16.473 31.382 37.652 40.646 44.814 46.928 26 11.160 12.198 13.00 15.379 17.232 35.563 32.886 41.823 45.642 200 27 11.SOS 12.879 14.573 16.151 18.1143.741 0.113 42.195 16.309.645 28 12.461 13.565 15.30 16.99 15.09 37 916 41.337 44.461 18.278 50998 29 13.121 1496 16.047 17.708 19.75 29.0NT 45.722 19.588 52 30 13.787 14.953 16.781 1.400 2009 10.256 3.773 46.979 50.053612 20 20.707 22.164 24.453 26.509 29.051 51.805 55.755 50.342 63.00 6.766 50 27.9912270732357 34.764 37.689 63.167 67.505 71.420 76.154 79.90 60 35.534 37.485 40.452 43.188 46.450 74.307 79.082 83.255 88.379 91.562 70 43 275 45.442 48.758 51.739 55.320 85.527 90.531 95.023 100.495 104215 8051172 8.500 57.133 60.391 64.378 %6.578 101.679 106.629 112.323 116321 90 59.196 61.754 65.647 69.126 73.291 107.565 113.145 118.136 134.116 128 299 100 67.328 70.065 74.222 77.9629 82.358 118.49 121342 129.561 136.207 100.169 3633 1790 3142 Find the standard deviation of Y. [The answer should be a number rounded to five decimal places, don't use symbols such as %] Find PlY25.1) minutes. [The answer should be a number rounded to five decimal places, don't use symbols such as %
A bank teller serves customers standing in the queue one by one. Suppose that the service time X; for customer i has mean Hi = 4.8 (minutes) and standard deviation 0; = 2.9. We assume that service times for different bank customers are independent. Let Y be the average time the bank teller spends serving 34 customers. Probabilities for the standard normal distribution TABLE of CRITICAL VALUES for STUDENT'S DISTRIBUTIONS Chi-Square Distribution Table Probability Table entry for is the probability lying to the left of The shaded area is equal to a forx 112 4.023 1057 1121 Column headings denote probabilities (@) above tabulated values d d.1. 0.40 0.250.10 0.05 0.04 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 1 10.325 1000 3.078 6.314 7916 12.706 15.89431.821 63 656 127 321 318.291636.578 2 0.289 08161.888 2.920 3.33 4.303 4.849 8.955 19.925 14.089 22.32031.800 30.277 0.7651.638 2.353 2.605 3.182 3.482 5.8417.453 10.214 12.924 40271741153321 2.132 2333 2.776 2999 3.747 4.604 6.598 7.173 8610 5 02570R1678 2.0152.191 2.571 2.757 3.365 4.032 4 6.569 60.265 0.713 1.440 1.943 2104 2.447 2.612 3.1433.707 4. + 4.317 752 5.200 5.950 7 026311411462046236525172990 34 4.020 4.785408 80.262 0.7061307 1.8603 2004 2.306 2.449 2.896 3355 3.833 4,501 5.041 90.261 0.703 1.383 1.8331 1.973 2.262 2.39827821 3250 3.600 4.297 4.781 10 100.2600 700 1.372 18 1.94 2228 2.350 2.764 3.109 3.581 4.144 4587 110.250 0.697 1.363 1.7 1907 2.201 2328 2.718 3.106 3.497 120 250 117 1.782191224179 23032681 30553428 3.930 4318 0.250 0.6041 1.350 1.771189922190 2 282 2650 3.01233723.852 4221 140.250 1345 1.701 2.145 2 264 2624 29773.3263.787 4140 15 1502691 1341 11878124131 2449 2602 3 2863.733 4073 16 0.258OBRO 1.337 1.746 1.869 2.120 2.235 2.583 2.921 3.252 3.686 4.015 17 0.257 706891 1333 1.740 1 862 2.110 2 2242 567 28.98 3.2223.046 3.965 18 10 0257 1.330 1.734 2.101 2214 27562 2878 3.191 3.610 3.922 19 0.25761 1.328 1.729 1.850 2.093 2.205 2.539 2861 3.174 3.578 3.883 20 0.25706877 1:326 1.7251844 2.086 2.19727628278453163 3.662350 21 0.257 076661.323 1.7211840 2080 2.189 2.5182631 3.1353.527 3619 22 026 DEG 1.717 2.074 2.183 2508 2.3193.119 3.506 3.792 23 0.204 1319 2.069 21772500 27807 3.104 3.46 3.768 24 0.256 0.685 1.310 1.711 1.8202.064 2.172 2492 2.797 3.091 3.467 3.745 250.2664 1316 1.700 1252060 22167 2787 37676 3450 3.725 26 0.256 0.654 1.315 1.706 1822 2.056 2.162 2479 2.779 3.067 3435 3.707 27 0.256.84 1.314 1.7031 810 2.052 2.158 2.473 2.771 3.057 3.421 3.580 28 0.256 1.313 1.701 1817 2704 2,1542.467 2.763 3.047 3.408 3.674 29 0.256 068313111 1.899 1814 2.045 2.150 2462 2756 3.038 3.396 3.660 30025631310 1697 1812 2042 2.147 2.457 2750 30303386 3646 310.256 0.6621. 1.300 1.896 1810 2.040 2144 2.453 2744 3.022 320.255 068213 3.373 1.300 9 1.694 1 800 2037 2.141 27440 2738 3.015 3.305 3.622 33 0.25601682 1308 81.892 1.892 1803 2.035 213824452733 3.0083356 37611 34 4 0.255682 0.682 1.307 1.891 1.805 2.032 2.136 2.441 2728 3.002 3.348 3001 350.2562 2306 1.800 2030 2724 2.990MO 360 2561016811 1306 1.888 1802 2028 27131 27434 2719 2990 3.333 37582 37 0.25511 1.305 1.687 1800 2.026 2.129 2.431 2715 2.985 3.326 3.574 30.25611 304 1.600 1.79927024 2121 27429 271220 3566 39 0.255 0.1 1,304 1.685 2.023 2.125 2.426 2700 27978 3.313 40 0.255811 1.303 1.684 1.7962.621 2.1232423 2704 2971 3.307 3.551 600.254 06791 1.200 1,671 1781 2.000 2099 2390 2.650 29153.2323.450 30 0.254 0.6781 1.292 1.664 1.773 1.990 2.088 2.374 2630 2.887 3.196 3.410 100025471 1 290 11660 176 1.984 2081 23642680 2.871 3.174 3.390 1200 25406771289 1.858 1 768 1.980 20762358 2617 2860 3.160 3.373 140 0.254 0.676 1288 1,69 1783 1.977 2.073 2 353 2611 2852 3.140 3.361 160 0254 06112165417 1.975 24 2607 2847 180 6 3 02.078 12881 1.653 1761 1.973 2009 2347 2 603 2.842 3.130 3.345 200 0.254 0678 1286 1.653 1760 19 20672345260128383.1313340 250 0.254 0.675 1.285 1.651 1.758 1.989 2,0852.341259326323.1233.330 inf 0.253 06741262 1.645 1.751 1.90 2054 2.326 2.576 2.8073.000 2200 00 01 02 03 04 05 06 07 (19 0.0 0.5000 0.5040 5080 0.5120 0.5160 0.5199 0.5239 05279 0.5319 0.5359 0.1 0.5398 0.5438 05478 0.5517 0.5557 0.5596 0.5636 05675 0.5714 05753 0.2 0.5793 0.5832 0.587 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6106 0.6443 0.6480 0.6517 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.7 0.750 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.9 0.81.59 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 LO 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 LI 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.3 0.9032 0.9019 0.9066 0.9082 0.9099 0.9115 09131 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 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9999 0.9608 0.9616 0.9625 0.9633 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 20 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 09808 0.9812 09817 21 0.9821 0.9826 0.9830 0.9834 09838 0.9842 0.9846 09890 0.9854 09857 22 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 09884 0.9887 0.9890 23 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 24 0.9918 0.9920 0.9922 0.9925 09927 0.9929 0.9931 0.9932 09934 0.9936 25 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.99448 0.9949 0.9951 0.9952 26 0.9953 0.9955 0.9956 0.9997 0.9959 0.9960 0.9961 09962 0.9963 09964 27 0.9965 0.9966 0.9967 0.9968 0.9269 0.9970 0.9971 09972 0.9973 0.9974 28 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 29 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0 9989 0.9990 0.9990 3.1 0.9990 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 32 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9999 0.9995 33 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 0 0.631 di 1 สาย X เนย 1 BAND 0.001 DIM 016 27 341 5034 7679 2 QUOIO 0.000 0.051 0.105 0.211 405 5.901 7.375 9.210 0,072 0.115 0.216 0.352 0.584 6.251 7.815 9.345 11.345 12.30 4 0.99 0.08 0.711 10 7.774 AR 11.143 137 HAN 5 0412 0.554 0.831 1.145 1.610 9.30 11.070 12.3 15.056 16.750 5 376 22 10S 122502 11419 16.812 16.15 7 7 GO 1239 1. 2.167 2 R 12017 14.0GT 16.013 18 475 2018 1.344 1.646 2.150 2.733 3.00 13.362 15.507 17.558 20.000 21.965 9 2.0 2.700 3.325 16 16 16.919 19.023 21.666 23.589 10 2.156 2.568 3.27 3.900 4.66 15.7 18.307 20.461 23.209 25.18 11 2508 3.063 3.816 4.875 5.57817275 19.675 21.920 24.25 25.757 12 3.074 3571 4.004 5.225 6.304 15.549 21.026 23.337 26.217 25.300 13 1.15 4.10T 5.009 5.882 7042 19.812 22.362 24.736 27. 29 519 14 4.075 4.600 5.629 6.71 7.790 21.064 25.1192.141 31.319 15 4601 5.229 6.2627.261 8.547 22.307 21.00 27,45830878 32.501 3.142 5812 6.07.2 9.312 24.ES 5.697 22.000 17 6.408 7.864 10. 24709 27. SHT 30.191 3571 15 6.265 T.015 8.231 10.868 25.389 28.869 31.526 1.506 37. 156 19 6.844 7633 8.907 30.117 11.651 27.204 30.146 32.852 36.191 38 52 20 7434 82609.50110851 12.443 28.412 31.410 34.170 37.566 29.997 21 8,034 8.80T 10.353 11.891 13.210 22.615322671 35.47938.82 41401 22 8.643 9.542 10.982 12.338 14.011 30813 33.994 37 10.299 12.790 23 10.196 11.69 13.091 14. SIN 32.00735.172 31.076 41. 46.181 24 9.86 10.866 12.01 13.868 15.6503196 3.41 33364 12.90 45 60 25 10.520 11.524 13.120 14611 16.473 31.382 37.652 40.646 44.814 46.928 26 11.160 12.198 13.00 15.379 17.232 35.563 32.886 41.823 45.642 200 27 11.SOS 12.879 14.573 16.151 18.1143.741 0.113 42.195 16.309.645 28 12.461 13.565 15.30 16.99 15.09 37 916 41.337 44.461 18.278 50998 29 13.121 1496 16.047 17.708 19.75 29.0NT 45.722 19.588 52 30 13.787 14.953 16.781 1.400 2009 10.256 3.773 46.979 50.053612 20 20.707 22.164 24.453 26.509 29.051 51.805 55.755 50.342 63.00 6.766 50 27.9912270732357 34.764 37.689 63.167 67.505 71.420 76.154 79.90 60 35.534 37.485 40.452 43.188 46.450 74.307 79.082 83.255 88.379 91.562 70 43 275 45.442 48.758 51.739 55.320 85.527 90.531 95.023 100.495 104215 8051172 8.500 57.133 60.391 64.378 %6.578 101.679 106.629 112.323 116321 90 59.196 61.754 65.647 69.126 73.291 107.565 113.145 118.136 134.116 128 299 100 67.328 70.065 74.222 77.9629 82.358 118.49 121342 129.561 136.207 100.169 3633 1790 3142 Find the standard deviation of Y. [The answer should be a number rounded to five decimal places, don't use symbols such as %] Find PlY25.1) minutes. [The answer should be a number rounded to five decimal places, don't use symbols such as %