A simple random sample of 29 observations is derived from a normally distributed population with a known standard deviation of 9.2. Use Table 1.

a.) Is the condition that is normally distributed satisfied?

Option a) Yes

Option b) No

b.) Compute the margin of error with 99% confidence. (Round intermediate calculations to 4 decimal places. Round "z-value" to 3 decimal places and final answer to 2 decimal places.)

Margin of error ________________

c.) Compute the margin of error with 95% confidence. (Round intermediate calculations to 4 decimal places. Round "z-value" to 3 decimal places and final answer to 2 decimal places.)

Margin of error ____________

d.) Which of the two margins of error will lead to a wider interval?

Option a) The margin of error with 99% confidence.

Option b)The margin of error with 95% confidence.

TABLE 1 Standard Normal Curve Areas Entries in Ilrls table provide cumulative prdJalJilities,that is, the area unda' Ihemrve to the lefl of 2. For example, Pt? 5 1.52} = 0.0643. PIZS z) z 0 z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.00 0.09 *3.9 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -3.0 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 -3.7 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 *36 0.0002 0.0002 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 -3.5 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 -3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 -3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0003 0.0000 0.0007 0.0007 -3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 *29 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 -2.0 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 *27 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0020 0.0027 0.0026 -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0030 0.0037 0.0036 -2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 *24 0.0082 0.0030 0.0073 0.0075 0.0073 0.0071 0.0069 0.0060 0.0066 0.0064 -2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0009 0.0007 0.0004 -22 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 -20 0.0220 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 - 1.9 0.0287 0.0231 0.0274 0.0260 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 - 1.7 0.0446 0.0436 0.0427 0.0410 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 *1.6 0.0540 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 *1.5 0.0660 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0502 0.0571 0.0559 - 1.4 0.0000 0.0793 0.0773 0.0764 0.0749 0.0735 0.0721 0.0700 0.0694 0.0601 - 1.3 0.0960 0.0951 0.0934 0.0910 0.0901 0.00 05 0.0369 0.0053 0.0838 0.0823 -1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1033 0.1020 0.1003 0.0985 *1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 -1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 *0.9 0.1841 0.1814 0.1703 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611 -0.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 -0.7 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 -0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2403 0.2451 0.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2043 0.2810 0.2776 - 0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3223 0.3192 0.3156 0. 3121 -0.3 0.3021 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3403 -0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 -0.1 0.4602 0.4562 0.4522 0.4403 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 -0.0 0.5000 0.4960 0.4920 0.4000 0.4040 0.4801 0.4761 0.4721 0.4601 0.4641 Sam thahllnlas (alwlatad with E1111 TABLE 1 [Connuedj Entrlei in this table FI'OV1dE cumulative prcbahilities.01at is.tbe area under the curve 113012120 ufz. For example, PE 5 1.52) = 0.9357. Z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.00 0.09 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.1 0.5398 0.5430 0.5470 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.2 0.5793 0.5832 0.5071 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.4 0.6554 0.6591 0.6620 0.6664 0.6700 0.6736 0.6772 0.6808 0.6044 0.6079 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7080 0.7123 0.7157 0.7190 0.7224 0.6 0.7257 0.7291 0.7324 0.7357 0.7309 0.7422 0.7454 0.7436 0.7517 0.7549 0.7 0.7500 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7023 0.7052 0.8 0.7001 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.0106 0.8133 0.9 0.8159 0.0186 0.8212 0.3238 0.0264 0.8289 0.8315 0.8340 0.0365 0.8389 1.0 0.8413 0.0430 0.8461 0.8485 0.0508 0.8531 0.8554 0.3577 0.0599 0.8621 1.1 0.8643 0.0665 0.0686 0.8708 0.0729 0.8749 0.8770 0.3790 0.8810 0.8830 1.2 0.8049 0.0069 0.8088 0.8907 0.0925 0.8944 0.8962 0.3980 0.0997 0.9015 1.3 0.9032 0.9049 0.9066 0.9032 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.5 0.9332 0.9345 0.9357 0.9370 0.9302 0.9394 0.9406 0.9418 0.9429 0.9441 1.6 0.9452 0.9463 0.9474 0.9434 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 1.7 0.9554 0.9564 0.9573 0.9532 0.9591 0.9599 0.9600 0.9616 0.9625 0.9633 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9670 0.9686 0.9693 0.9699 0.9706 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 2.0 0.9772 0.9770 0.9783 0.9738 0.9793 0.9790 0.9003 0.9808 0.9012 0.9017 2.1 0.9021 0.9826 0.9030 0.9834 0.9030 0.9842 0.9846 0.9850 0.9054 0.9857 2.2 0.9061 0.9064 0.9860 0.9071 0.9075 0.9070 0.9881 0.9834 0.9007 0.9090 2.3 0.9093 0.9096 0.9090 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 2.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9940 0.9949 0.9951 0.9952 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9970 0.9979 0.9979 0.9900 0.9981 2.9 0.9901 0.9982 0.9982 0.9983 0.9904 0.9984 0.9985 0.9985 0.9906 0.9986 3.0 0.9907 0.9987 0.9987 0.9988 0.9908 0.9989 0.9989 0.9989 0.9990 0.9990 3.1 0.9990 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 3.2 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 3.3 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 3.5 0.9990 0.9990 0.9990 0.9998 0.9998 0.9990 0.9990 0.9998 0.9998 0.9998 3.6 0.9990 0.9990 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 3.7 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 3.8 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 3.9 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 Smu' Pluhahllmesukulalsdwnh E121