Question: Please refer to the attached photos for the problem. . A population has a mean of 200 and a standard deviation of 80. Suppose a

Please refer to the attached photos for the problem.

.

Please refer to the attached photos for the problem. . A populationhas a mean of 200 and a standard deviation of 80. Suppose

A population has a mean of 200 and a standard deviation of 80. Suppose a sample of size 125 is selected and 39 is used to estimate 111.. Use z-table. a. What is the probability that the sample mean will be within +/- 7 of the population mean (to 4 decimals)? (Round 2 value in intermediate calculations to 2 decimal places.) 0.7416 0 b. What is the probability that the sample mean will be within +/- 10 of the population mean (to 4 decimals)? (Round 2 value in intermediate calculations to 2 decimal places.) 0.9198 0 TABLE 1 CUMULATIVE PROBABILITIES FOR THE STANDARD NORMAL DISTRIBUTION (Continued) Cumulative probability Entries in the table 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 .00 .01 .02 .03 .04 .05 .06 .07 08 5000 5040 5080 5120 5160 .5199 5239 .5279 .5319 .5359 .5398 .5438 5478 .5517 5557 .5596 .5636 .5675 .5714 .5753 .5793 .5832 5871 5910 5948 5987 .6026 .6064 .6103 .6141 .6179 6217 6255 6293 6331 6368 .6406 .6443 6480 6517 4 .6554 .6591 6628 .6664 6700 .6736 6772 .6808 6844 .6879 .6915 .6950 .6985 .7019 .7054 .7088 .7123 .7157 .7190 .7224 .6 .7257 .7291 .7324 .7357 .7389 .7422 .7454 .7486 .7517 .7549 7580 .7611 .7642 7673 7704 7734 7764 .7794 7823 .7852 .8 7881 .7910 .7939 7967 .7995 8023 .8051 .8078 .8106 .8133 9 .8159 .8186 .8212 .8238 .8264 .8289 .8315 .8340 .8365 .8389 1.0 .8413 .8438 .8461 .8485 .8508 .8531 .8554 .8577 8599 8621 1.1 8643 8665 8686 8708 8729 8749 8770 .8790 8810 .8830 1.2 .8849 .8869 8888 8907 .8925 .8944 .8962 .8980 8997 .9015 1.3 .9032 .9049 9066 9082 .9099 .9115 .9131 9147 .9162 .9177 1.4 .9192 .9207 .9222 .9236 .9251 .9265 .9279 .9292 .9306 .9319 1.5 .9332 .9345 .9357 .9370 .9382 .9394 .9406 .9418 .9429 .9441 1.6 .9452 9463 .9474 9484 9495 .9505 9515 .9525 9535 .9545 1.7 .9554 9564 .9573 .9582 .9591 .9599 9608 .9616 9625 .9633 1.8 .9641 .9649 9656 9664 9671 9678 .9686 9693 .9699 .9706 1.9 .9713 .9719 .9726 .9732 .9738 .9744 .9750 .9756 9761 .9767 2.0 .9772 .9778 .9783 .9788 9793 9798 .9803 .9808 .9812 .9817 2.1 .9821 .9826 9830 9834 9838 .9842 .9846 9850 9854 9857 2.2 .9861 .9864 9868 9871 .9875 .9878 .9881 .9884 9887 9890 2.3 .9893 9896 9898 9901 .9904 .9906 .9909 9911 .9913 .9916 2.4 .9918 9920 .9922 .9925 .9927 .9929 9931 9932 9934 .9936 2.5 .9938 .9940 .9941 .9943 .9945 .9946 .9948 .9949 .9951 .9952 2.6 .9953 9955 9956 .9957 .9959 9960 .9961 .9962 9963 9964 2.7 .9965 .9966 .9967 .9968 .9969 .9970 .9971 .9972 .9973 .9974 2.8 .9974 .9975 .9976 9977 .9977 .9978 .9979 9979 .9980 9981 2.9 .9981 .9982 .9982 .9983 .9984 .9984 .9985 .9985 .9986 .9986 3.0 .9987 .9987 .9987 .9988 .9988 .9989 .9989 .9989 9990 9990

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