Question: Please anwser all parts In the EAI sampling problem, the population mean is $51,900 and the population standard deviation is $4,000. When the sample size

Please anwser all parts

In the EAI sampling problem, the population mean is $51,900 and the population standard deviation is $4,000. When the sample size is n = 30, there is a 0.5887 probability of obtaining a sample mean within +/- $600 of the population mean. Use z-table. a. What is the probability that the sample mean is within $600 of the population mean if a sample of size 60 is used (to 4 decimals)? b. What is the probability that the sample mean is within $600 of the population mean if a sample of size 120 is used (to 4 decimals)? 18 .09 .07 .06 .05 .04 .00 .03 11 .02 .0 5000 .5398 .5793 .6179 .6554 .5120 5517 5910 .6293 .6664 5040 5080 5438 5478 5832 5871 .6217 6255 .6591 .6628 .5160 5557 5948 .6331 .6700 .5199 5596 .5987 .6368 .6736 .5239 5636 .6026 .6406 .6772 .5279 .5675 .6064 .6443 .6808 5319 5714 .6103 .6480 .6844 2 3 4 5359 5753 .6141 .6517 .6879 5 6 .7 .8 9 .6915 .7257 .7580 .7881 .8159 .6950 .7291 .7611 .7910 .8186 .6985 .7324 .7642 .7939 .8212 .7019 .7357 7673 7967 .8238 .7054 .7389 .7704 7995 .8264 .7088 .7422 .7734 .8023 .8289 .7123 .7454 .7764 .8051 .8315 .7157 .7486 .7794 .8078 .8340 .7190 7517 .7823 .8106 .8365 .7224 .7549 .7852 .8133 .8389 1.0 1.1 1.2 1.3 1.4 .8413 .8643 .8849 .9032 9192 .8438 8665 .8869 9049 9207 .8461 .8686 8888 9066 9222 .8485 .8708 .8907 9082 .9236 8508 .8729 .8925 9099 .9251 8531 .8749 .8944 9115 .9265 .8554 .8770 .8962 .9131 9279 .8577 .8790 .8980 9147 9292 .8599 .8810 .8997 .9162 9306 .8621 .8830 2015 .9177 9319 1.5 1.6 1.7 1.8 1.9 .9332 9345 9357 .9452 9463 9474 .9554 9564 .9573 9641 9649 .9656 97139719 9726 9370 9484 9582 .9664 9732 9382 .9495 .9591 .9671 9738 9394 .9505 9599 .9678 .9744 9406 9515 9608 9686 9750 9418 9525 9616 9693 9756 9429 .9535 9625 9699 9761 9441 9545 .9633 9706 .9767 2.0 2.1 2.2 23 2.4 .9772 .9778 9783 9821 9826 9830 9861 .9864 .9868 9893 9896 9898 .9918 .9920 9922 9788 9834 .9871 .9901 9925 .9793 .9838 .9875 9904 .9927 .9798 .9842 9878 9906 .9929 9803 .9846 .9881 .9909 .9931 9808 .9850 9884 .9911 .9932 9812 9854 9887 .9913 .9934 9817 .9857 .9890 .9916 .9936 2.5 2.6 27 2,8 29 9938 9953 9965 9974 .9981 9940 -9955 9966 .9975 9982 .9941 .9956 .9967 .9976 9982 9943 9957 .9968 .9977 .9983 9945 .9959 .9969 .9977 9984 .9946 .9960) .9970 .9978 9984 .9948 9961 .9971 .9949 9962 9972 9979 9985 9951 9963 9973 9980 .9986 .9952 .9964 9974 9981 .9986 9979 9985 3.0 9987 9987 .9987 .9988 .9988 9989 .9989 .9989 9990 9990 A population has a mean of 200 and a standard deviation of 60. Suppose a sample of size 100 is selected and is used to estimate u. Use z-table. a. What is the probability that the sample mean will be within +/- 8 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.) b. What is the probability that the sample mean will be within +/- 14 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.)

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