Question

The milk production of cows on a large dairy farm is approximately normally distributed with a mean of 35 kg/day and standard deviation of 6 kg/day. The farmer is concerned that a cow may be ill when her milk production flls below the 5th percentile. What is the 5th percentile (in kg) of daily milk production? A. -1.645 В. 1.645 C. 25.13 D. 44.87 E. Not enough information to compute.

Answer 1

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00 .01 02 03 .04 05 .06 .07 .08 09 Z -3.4 0003 0003 0003 0003 0003 0003 0003 0002 0003 0003 0004 0006 0004 0003 3.3 0005 0005 0005 0004 0004 .0004 0004 .0007 0006 0006 .0006 .0006 .0005 0005 .0005 -3.2 .0007 0009 0008 .0007 .0007 3.1 .0010 0009 0009 0008 0008 0008 0013 0013 .0010 0013 0012 0012 0011 .0011 0011 0010 -3.0 0014 0015 0015 .0014 2.9 .0019 0018 0018 0017 .0016 .0016 -2.8 0026 0025 0024 0023 .0023 0022 0021 0021 .0020 0019 0033 0044 .0030 0029 .0028 .0027 0026 2.7 .0035 0034 0032 0031 0037 -2.6 0047 0045 0043 0041 0040 0039 0052 .0038 0036 0051 0059 .0057 0055 0054 0049 0048 2.5 0062 0060 -2.4 .0082 0066 .0080 0078 0075 0073 0071 .0069 0068 0064 0099 0096 0094 0091 0089 .0087 .0084 2.3 0107 0104 0102 0132 0129 0122 0158 0113 0110 -2.2 0139 0136 0125 0119 0116 0174 0150 0166 0162 .0154 0146 0143 2.1 0179 0170 0228 0207 0262 0197 .0192 0188 .0183 -2.0 .0222 0217 0212 0202 0233 -1.9 0287 .0281 0274 0268 0256 0250 .0244 0239 0307 .0314 .0301 0294 -1.8 0359 .0351 0344 0336 0329 0322 0436 0537 -1.7 .0446 0427 0418 0409 .0401 0392 .0384 0375 0367 0475 0465 0505 0495 0485 0455 -1.6 0548 0526 0516 1.5 0668 0655 0643 .0630 .0618 .0606 0594 0582 .0571 0559 0764 0749 0735 0721 0708 0694 0681 -1.4 0808 0793 0778 0951 0934 0918 0885 0869 -1.3 0968 0901 .0853 0838 0823 1093 1020 .1075 1056 1038 .1003 .0985 -1.2 1151 1131 1112 1170 -1.1 1357 1335 1314 1292 1271 1251 1230 1210 1190 1562 1515 1492 1469 1446 1423 1401 1379 -1.0 1587 1539 1660 -0.9 1635 .1611 1841 1814 1788 1762 1736 1711 1685 2061 1949 2236 1922 -0.8 -0.7 2119 2090 2033 2005 1977 1894 .1867 2389 2358 2206 2177 .2148 2420 2327 2296 2266 2611 2514 2451 -0.6 2743 .2709 2676 2643 2578 2546 .2483 2843 3192 0.5 2912 2877 2810 .2776 3085 3050 3015 2981 2946 -0.4 3372 3446 3409 3336 3300 3264 3228 3156 3121 3632 3594 .3669 3557 3520 3483 -0.3 3821 3783 3745 3707 3859 -0.2 .4207 4168 4129 4090 .4052 .4013 3974 3936 3897 .4404 .4364 .4325 .4602 .4483 .4443 .4286 .4247 -0.1 .4562 .4522 4960 .4641 -0.0 5000 4920 4880 4840 4801 4761 4721 4681