S=32 U = 29 a = 0.01 a/2=0.01/2=0.005 df=n-1 a=0.01 +-Value 29-1=28 = 2.763 P. 424: 9.28: Consider the null hypothesis Ho: H=625. Suppose that a random sample of 29 observations is taken from a normally distributed population with = 32. Using a significance level of .01, find the critical value(s) of z and shade the rejection regions on the sampling distribution curve of the sample mean when the alternative hypothesis is as follows. a. H: 625 b. H: >625 (= 0.01 0 N=625 O M#625 -2.763 c. H: 625 2.743 ( Table IV Standard Normal Distribution Table The entries in this table give the cumulative area under the standard normal curve to the left of z with the values of z equal to 0 or negative. W Z .09 .00 .01 .08 .02 .07 -3.4 .03 .04 .05 - .06 .0002 .0003 .0003 .0003 .0003 -3.3 .0003 .0005 .0003 .0003 .0003 .0003 .0003 .0004 .0005 .0004 -3.2 .0005 .0007 .0004 .0004 .0004 .0004 .0007 .0005 .0005 .0005 -3.1 .0006 .0006 .0006 .0006 .0006 .0010 .0009 .0008 .0007 .0007 -3.0 .0009 .0009 .0008 .0008 .0008 .0013 .0010 .0010 .0013 .0011 .0013 .0012 .0012 .0011 .0011 -2.9 .0019 .0018 .0018 .0017 .0016 .0016 .0015 .0015 .0014 .0014 -2.8 .0026 .0025 .0024 ..0023 .0023 .0022 .0021 .0021 .0020 .0019 -2.7 .0035 .0027 .0026 .0034 .0033 .0032 .0031 .0030 .0029 .0028 -2.6 .0047 .0045 .0044 .0043 .0041 .0040 .0039 .0038 .0037 .0036 -2.5 .0062 .0060 .0059 .0057 .0055 .0054 .0052 .0051 .0049 .0048 -2.4 .0082 .0080 .0078 .0075 .0073 .0071 .0069 .0068 .0066 .0064 -2.3 .0107 .0104 .0102 .0099 .0096 .0094 .0091 .0089 .0087 .0084 -2.2 .0139 .0136 .0132 .0129 .0125 0122 .0119 .0116 .0113 .0110 -2.1 .0179 .0174 .0170 .0166 .0162 .0158 .0154 .0150 .0146 .0143 -2.0 .0228 .0222 .0217 .0212 .0207 .0202 .0197 .0192 .0188 . .0183 -1.9 .0287 .0281 .0274 .0268 .0262 .0256 .0250 .0244 .0239 .0233 -1.8 .0359 .0351 .0344 .0336 .0329 .0322 .0314 .0307 .0301 .0294 -1.7 .0446 .0436 .0427 .0418 .0409 .0401 .0392 .0384 .0375 .0367 -1.6 .0548 .0537 .0526 .0516 .0505 .0495 .0485 .0475 .0465 .0455 -1.5 .0668 .0655 .0643 .0630 .0618 .0606 .0594 .0582 .0571 .0559 -1.4 .0808 .0793 .0778 .0764 .0749 .0735 .0721 .0708 .0694 .0681 -1.3 .0968 .0951 .0934 .0918 .0901 .0885 .0869 .0853 .0838 .0823 -1.2 .1151 .1131 .1112 .1093 .1075 .1056 .1038 .1020 .1003 .0985 -1.1 .1357 .1335 .1314 .1292 .1271 .1251 .1230 .1210 .1190 .1170 -1.0 .1587 .1562 .1539 .1515 .1492 .1469 .1446 .1423 .1401 .1379 -0.9 .1841 .1814 .1788 .1762 .1736 .1711 .1685 .1660 .1635 ..1611 -0.8 .2119 .2090 .2061 .2033 .2005 .1977 .1949 .1922 .1894 .1867 -0.7 .2420 .2389 .2358 .2327 .2296 .2266 .2236 2206 .2177 -0.6 .2148 .2743 . .2709 .2676 .2643 .2611 .2578 .2546 -0.5, .3085 2514 2483 .3050 2451 .3015 .2981 .2946 .2912 .2877 .2843 .2810 .2776 -0.4 .3446 .3409 .3372 .3336 .3300 .3264 3228 -0.3 .3821 .3192 .3783 .3156 .3745 .3707 3121 .3669 .3632 .3594 Table IV Standard Normal Distribution Table (continued) The entries in this table give the cumulative area under the standard normal curve to the left of z with the values of z equal to 0 or positive. Left Side Z 0 Z z .00 .01 .02 .03 .5000 .04 .05 .06 .07 .08 .09 .5040 .5080 .5120 i .5160 .5398 .5199 .5239 .5279 .5319 .5359 .5438 .5478 .5793 .5517 .5557 .5832 .5596 .5636 .5675 .5714 .5753 2.0 * 2 *****2 22222 22222 7 .5871 .6179 .5910 .5948 .5987 .6026 .6064 .6103 .6141 .6217 .6255 .6293 .6554 .6331 .6368 .6406 .6443 .6480 .6517 .6591 .6628 .6664 .6915 ..6700 .6736 .6772 .6808 .6844 .6879 .6950 .6985 .7019 .7054 .7088 .7123 .7157 .7190 .7224 .7257 .7291 .7324 .7357 .7389 .7422 .7454 .7486 .7517 .7549 .7580 .7611 .7642 .7673 .7704 .7734 .7764 .7794 .7823 .7852 .7881 .7910 .7939 .7967 .7995 .8023 .8051 .8078 .8106 .8133 .8159 .8186 .8212 .8238 .8264 .8289 .8315 .8340 .8365 .8389 .8413 .8438 .8461 - .8485 .8508 .8531 .8554 .8577 .8599 .8621 .8643 .8665 .8686 .8708 .8729 .8749 .8770 .8790 .8810 .8830 .8849 .8869 .8888 .8907 .8925 .8944 .8962 .8980 .8997 .9015 .9032 .9049 .9066 .9082 .9099 .9.115 .9131 .9147 .9162 .9177 .9192 .9207 .9222 .9236 .9251 .9265 .9279 .9292 .9306 .9319 .9332 .9345 .9357 .9370 .9382 .9394 .9406 .9418 .9429 .9441 1.6 .9452 .9463 .9474 .9484 .9495 .9505 .9515 .9525 .9535 .9545 .9554 .9564 .9573 .9582 .9591 .9599 .9608 .9616 .9625 .9633 .9641 .9649 .9656 .9664 .9671 .9678 .9686 .9693 :9699 .9706 .9713 .9719 .9726 .9732 .9738 .9744 .9750 .9756 .9761 .9767 .9772 .9778 .9783 .9788 .9793 .9798 .9803 .9808 .9812 .9817 .9821 .9826 .9830 :9834 .9838 .9842 .9846 .9850 .9854 .9857 .9861 .9864 .9868 .9871 .9875 .9878 .9881 .9884 .9887 .9890 .9893 .9896 .9898 .9901 .9904 .9906 .9909 .9911 .9913 .9916 .9918 .9920 .9922 .9925 .9927 .9929 .9931 .9932 .9934 .9936 .9938 .9940 .9941 .9943 .9945 .9946 .9948 .9949 .9951 .9952 .9953 .9955 .9956 .9957 .9959 .9960 .9961 .9962 .9963 .9964 .9965 .9966 .9967 .9968 .9969 .9970 .9971 .9972 .9973 .9974 .9974 .9975 .9976 .9977 .9977 .9978 .9979 .9979 .9980 .9981 .9981 .9982 .9982 .9983 .9984 .9984 .9985 .9985 .9986 .9986 .9987 .9987 .9987 .9988 .9988 .9989 .9989 .9989 .9990 9990 9990 .9991 .9991 19991 .9992 .9992 .9992 .9992 .9993 .9993 .9993 .9993 .9994 .9994 .9994 .9994 .9994 .9995 .9995 .9995 .9995 .9995 .9995 .9996 .9996 .9996 .9996 .9996 .9996 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9998