Round to 4 decimal places:

Find the probability and interpret the results. If convenient, use technology to nd the probability. The population mean annual salary for environmental compliance specialists is about $63,500. A random sample of 41 specialists is drawn from this population. What is the probability that the mean salary of the sample is less than $61,500? Assume a = $5,500. The probability that the mean salary of the sample is less than $61,500 is D. (Round to four decimal places as needed.) 111e mean height of women in a country (ages 20 - 29) is 63.8 inches. A random sample of 60 women in this age group is selected. What is the probability that the mean height for the sample is greater than 65 inches? Assume a = 2.79. 111e probability that the mean height for the sample is greater than 65 inches is I]. (Round to four decimal places as needed.) The height of women ages 20-29 is normally distributed, with a mean of 64.6 inches. Assume o = 2.6 inches. Are you more likely to randomly select 1 woman with a height less than 66.3 inches or are you more likely to select a sample of 25 women with a mean height less than 66.3 inches? Explain. Click the icon to view page 1 of the standard normal table. Click the icon to view page 2 of the standard normal table. What is the probability of randomly selecting 1 woman with a height less than 66.3 inches? (Round to four decimal places as needed.) X Standard Normal Table (Page 2) :....: Standard Normal Table (Page 1) Area Area 0 .09 .05 .0 .03 .02 .00 .01 .02 .04 .05 .06 -07 .08 .09 .08 .07 .06 .5239 .5279 .5319 .5359 - 3.4 .0002 .0003 .0003 .0003 .000 0003 .0003 .0003 .0003 0003 0.0 .5000 5040 .5080 .5120 5160 .5199 0004 0004 0005 .0005 .0005 0.1 .5398 5438 .5478 .5517 .5557 .5596 .5636 .5675 .5714 .5753 - 3.3 0003 .0004 .0004 .0004 0004 5793 5832 5871 5910 5948 5987 6026 .6064 .6103 .6141 - 3.2 0005 .0005 0003 0006 0006 0006 .0006 1006 0007 0.2 6217 .6255 6293 .6331 .6368 .6406 6443 .6480 6517 - 3.1 0007 .0007 0008 0008 0008 .0009 .0009 .0009 .0010 0.3 5179 0008 .6844 .6879 - 3.0 .0010 .0010 0011 001 1 0011 .0012 0012 .0013 6808 0013 0013 0.4 6554 6591 .6628 6664 6700 .6736 6772 6950 6985 .7019 7054 7088 .7123 7157 7190 7224 - 2.9 0014 0014 0015 0015 .0016 0016 0017 0018 0018 0019 0.5 6915 .0024 .0025 .0026 0.6 .7257 7291 .7324 .7357 7389 .7422 7454 .7486 7517 7549 -2.8 0019 0020 0021 .0021 .0022 0023 .0023 .7823 .7852 - 2.7 0026 DO27 0028 0029 0030 .0031 .0032 0033 0034 0035 0.7 7580 .7611 .7642 7673 7704 7734 .7764 .7794 .7910 7939 .7967 7995 8023 .8051 8078 .8106 .8133 - 2.6 .0036 0037 0038 0039 .0040 0041 0043 .0044 .0045 0047 0.8 7881 0054 0055 .0057 0059 0060 0062 0.9 8159 8186 8212 8238 .8264 8789 .8315 8340 8365 .8389 - 2.5 0048 0049 .0051 0057 - 2.4 .0064 0068 0069 0071 0073 0075 6078 1.0 8413 8485 8508 8531 8554 .8577 8599 8621 .0080 8438 8461 8665 .8680 8708 8729 .8749 .8770 .8790 8810 .8830 - 2.3 0084 0087 0089 0091 .0094 .0096 .0099 0102 .0104 0107 1.1 8643 8869 .8925 8944 8962 .8980 8997 .9015 - 2.2 .0110 0113 0116 .0119 .0122 0125 .0129 .0132 0136 0139 1.2 3849 8888 .8907 9177 0146 0150 0154 0158 0162 0 66 0170 0174 0179 1.3 9032 9049 9066 9082 .9099 9115 9131 .9147 9162 - 2.1 0143 .0197 .0202 .0207 .0212 .0217 .0222 0228 1.4 9192 9207 .9222 .9236 .9251 9265 9279 .9292 9306 9319 - 2.0 .0183 0188 0192 1.5 9332 345 .9357 .9370 .9382 9394 9406 9418 9429 9441 - 1.9 .0233 .0239 0244 .0250 0256 0262 0268 .0274 .0281 0287 0452 9463 947 9484 9495 9505 9515 9525 9535 9545 .0294 .0301 0307 0314 .0322 0329 0336 .0344 .0351 - 1.8 0359 1.6 1.7 95 54 9564 9573 9582 .9591 9599 9608 9616 9625 9633 - 1.7 .0367 0375 0384 0397 .0401 0409 0418 0427 .0436 .0446 9641 649 9656 .9664 9671 9678 9686 9693 9699 9706 - 1.6 .0455 0465 .0475 0485 .0495 0505 05 16 0526 0537 0548 1.8 .0582 .0594 0606 0618 .0630 0643 .0655 0668 1.9 .9713 9719 9726 .9732 .9738 9744 .9750 9756 .9761 .9767 - 1.5 .0559 0571 .9817 0681 0694 0708 .0721 .0735 .0749 .0764 .0778 .0793 .0808 2.0 .9772 9778 9783 .9788 9793 9798 .9803 9808 9812 - 1.4 9842 9846 9850 9854 .9857 - 1.3 0823 0836 0953 0869 0885 0918 0934 0951 0968 2.1 9821 0820 9830 9834 9838 9878 9881 9884 .9887 9890 - 1.2 .0985 1003 .1020 .1038 .1056 .1075 .1093 .1112 1131 .1 151 2.2 9861 9864 .9868 .9871 9875 9904 .9906 .9909 9911 .9913 9916 -1.1 .1170 .1190 .1210 .1230 .1251 1271 .1292 .1314 .1335 .1357 2.3 9893 9896 .9898 .9901 9934 9936 .1379 1423 .1446 .1469 .1492 .1515 .1539 1562 1587 9913 9920 .9922 9925 9927 9929 9931 9932 - 1.0 1407 2.4 .1841 2.5 .9938 9940 9941 .9943 9945 9946 9948 9949 9951 9952 - 0.9 .1611 .1635 .1660 .1685 .1711 1736 1762 1788 .1814 2.6 .9953 9955 .9956 .9957 9959 9960 9961 9962 9963 9964 - 0.8 1867 1894 1922 .1949 .1977 .2005 .2033 2061 2090 2119 9967 .9969 .9970 9971 9972 .99/3 9974 -0.7 12148 2177 2206 .2236 .2266 2296 2327 2358 .2389 .2420 2.7 .9965 9956 .9968 9975 .9977 .9977 9978 .9979 9979 9980 9981 -0.6 2451 2483 2514 .2546 .2578 2611 2643 .2709 2743 2.8 .9974 9976 2912 3085 2.9 .9981 9982 9982 9983 .9984 .9984 .9985 9985 998 .9986 -0.5 .2776 28 10 .2843 .2877 2946 .2981 3015 .3050 .3372 .3446 3.0 9987 9987 9988 .9989 .3409 .9987 9988 9989 9989 9990 .9990 -0.4 .3121 3156 3192 .3228 .3264 .3300 3336 9992 999 .9993 3483 3520 .3557 .3594 3632 .3669 3707 3745 3821 3.1 .9990 9991 9991 .9991 .9992 .9992 .9992 -0.3 .3783 4207 3.2 9993 9993 .9994 .9994 .9994 .9994 9994 9995 9995 9995 -0.2 3859 3897 3936 .3974 4013 4052 4090 4129 4168 4404 .4483 .4522 :4562 4602 3.3 .9995 .9995 9995 .9996 .9996 .9996 .9996 .9996 9996 .9997 -0.1 4247 4286 .4325 .4364 4443 4681 4721 4761 4801 4840 4880 4920 4960 .5000 3.4 .9997 .9997 .9997 .9997 9997 .9997 .9997 .9997 9997 .9998 -0.0 4641 .04 05 06 07 08 .09 .09 .08 07 .06 .05 .04 .03 02 01 .00 .00 01 .02 .03