In the EAI sampling problem, the population mean is $51,200 and the population standard deviation is $4,000. When the sample size is n = 20, there is a 0.4238 probability of obtaining a sample mean within +/- $500 of the population mean. Use z-table.

What is the probability that the sample mean is within $500 of the population mean if a sample of size 40 is used (to 4 decimals)?

What is the probability that the sample mean is within $500 of the population mean if a sample of size 80 is used (to 4 decimals)?

C In TI X X Cou XMinc X Ztab X + Coul X Coul X Coul X Chic X Chic X M Your X Coul X *Coul X Coul X G cnow.apps.ng.cengage.com/ilrn/books/ases08h/images/tables/Ztable.png TABLE 1 CUMULATIVE PROBABILITIES FOR THE STANDARD NORMAL DISTRIBUTION (Continued) Cumulative Entries in the table probability give the area under the curve to the left of the z value. For example, for z = 1.25, the cumulative probability is .8944. 0 Z .03 04 .05 06 07 01 5359 5000 5040 5080 .5120 5160 5199 5239 5279 5319 5675 5714 5753 539 5438 5478 5517 5557 5596 5636 5987 6026 6064 6103 6141 5793 5832 5871 5910 5948 6406 .6443 6480 6517 6217 6331 6368 .6179 6255 .6293 6808 6844 6879 6554 6591 6628 .6664 6700 .6736 6772 7224 5 .6915 6950 6985 7019 .7054 7083 .7123 .7157 .7190 .7291 7324 .7357 .7389 .7422 7454 .7486 .7517 .7549 .6 .7257 .7823 .7852 .7580 .7611 -7642 .7673 .7704 773 .7764 -7794 .7939 .7967 .7995 8023 .8051 .8078 .8106 .8133 7881 .7910 .8315 8340 .8365 8389 8159 8186 8212 8238 .8264 8461 .8485 8508 .8531 .8554 -8577 .8599 8621 1.0 8413 8438 874 .8770 -8790 .8830 1.1 8643 8686 .8708 .8729 .8907 .8925 8944 .8962 -8980 .8997 .9015 1.2 8849 8888 9177 13 .9032 9049 9066 908 9099 9115 9131 9147 9162 9306 9319 14 .9192 9207 9222 .9236 9251 926 9279 9292 9394 9406 9418 9429 9441 15 .9332 9345 9357 9370 9382 9495 9505 9515 9525 .9535 9545 1.6 9452 .9463 9474 .9484 0608 9616 9625 9633 1.7 .9554 .9564 9573 .9582 9591 9409 9686 .9693 9699 9706 1.8 9641 .9649 9656 9664 9671 9678 9750 9756 9761 9767 1.9 .9713 9719 9726 9732 9738 9744 .9817 .9798 .9803 9808 .9812 2.0 9772 8LL6' .9783 .9788 9793 9830 983 9838 984 9846 9850 9854 9857 2.1 9821 .9826 9884 9887 .9890 2.2 9861 .9864 9868 9871 9875 9878 9881 .9896 9898 9901 .9904 9906 9909 991 0913 .9916 2.3 989 9931 9912 9934 9936 2.4 9918 9920 9922 9925 9927 9929 9951 9952 2.5 9935 9940 9941 9943 9945 9946 9948 9949 9960 9961 .9962 9963 .9964 2.6 9953 .9955 .9956 .9957 .9959 9965 .9966 9967 ,9968 9969 9970 .9971 .9972 9973 .9974 2.7 2.8 9974 .9975 9976 9977 9977 9978 9979 9979 9980 9981 9984 9984 9985 9985 9986 9986 2.9 998 9982 9982 9983 .9987 9987 .9988 9988 .9989 9989 9989 9090 9990 3.0 9987 6 7 1:10 D