TABLES Probability Table entry for z is the area under the standard normal curve to the left of z TABLE A Standardnormalprobabilities .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 .0003 .0003 .0003 .0003 .0003 .0003 0003 0003 .0003 .0002 -3.3 0005 .0005 .0005 0004 0004 .0004 .0004 .0004 .0004 .0003 -3.2 .0007 0007 .0006 .0006 0006 .0006 .0006 .0003 .0005 .0005 -3.1 0010 .0009 .0009 .0009 0008 .0008 0008 .0008 .DOOT .0007 -3.0 0013 0013 .0013 .0012 0012 .0011 .0011 ,001 1 0010 0010 -2.9 0019 .0018 0018 .0017 -0016 .0016 .0015 .0015 0014 .0014 -2.8 0026 0025 0024 .0023 0023 .0022 0021 .0021 DO20 .0019 -2.7 0035 .0034 _0033 .0032 0031 .0030 .0029 .0028 .0027 .0026 -2.6 0047 0045 0044 .0043 004 ,0040 .0039 ,0038 .0037 .0036 -2.5 .0062 .0060 .0059 .0057 -0035 .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 .0130 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 10418 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 .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 .1 190 .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 5 .1977 .1949 .1922 .1894 .1867 -0.7 .2420 .2389 .2358 .2327 .2296 .2266 .2236 2206 .2177 .2148 -0.6 .2743 .2709 .2676 .2643 2611 .2578 .2546 .2514 .2483 .2451 -0.5 .3085 .3050 -3015 .2981 .2946 .2912 -2877 .2843 .2810 .2776 -0.4 3446 .3409 3372 .3336 .3300 3264 .3228 .3192 .3156 .3121 -0.3 3821 .3783 .3745 .3707 .3669 .3632 3594 .3557 .3520 .3483 -0,2 4207 4168 4129 .4090 .4057 .4013 3974 .3936 .3897 .3859 -0. 4602 .4562 .4522 4483 4443 .4404 4364 .4325 .4286 .4247 -0.0 5000 4960 4920 ,4880 .4840 .4801 .4761 ,4721 .4681 .4641 TABLES T-3Probability Table entry for z is the area under the standard normal curve to the left of z. TABLE A Standardnormalprobabilities (continued) .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 .5000 5040 5080 5120 5160 .5199 .5239 .5279 .5319 $359 0.1 -5398 .5438 5478 .5517 5557 .5596 .5636 .5675 .5714 5753 0.2 5793 5832 .5871 .5910 .5948 .5987 6026 .6064 .6103 6141 0.3 6179 6217 6255 .6293 6331 .6368 6406 .6443 .6480 6517 0.4 6554 6591 6628 .6664 .6700 .6736 .6772 .6808 .6844 6879 0.5 6915 6950 6985 .7019 .7054 .7088 7123 .7157 .7190 .7224 0.6 7257 7291 .7324 .7357 .7389 .7422 7454 .7486 .7517 7549 0.7 7580 7611 .7642 .7673 .7704 .7734 .7764 .7794 .7823 7852 0.8 7881 .7910 .7939 .7967 .7995 .8023 8051 .8078 8106 8133 0.9 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 .9162 9177 1.4 9192 9207 9222 9251 9265 9279 9292 9306 9319 1.5 9332 9345 9357 . 79370 9382 .9394 .9406 9429 9441 1.6 9452 9463 9474 9484 9495 9505 9515 .9525 9535 9545 1.7 9554 9564 9573 9582 9591 9599 8 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 3 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 9925 9927 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 7 9968 9969 9970 9971 9972 9973 .9974 2.8 2974 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 3.1 .9990 9991 .9991 9991 .9992 .9992 .9992 9992 .9993 9993 3.2 .9993 9993 9994 9994 9994 .9994 .9994 9995 .9995 9995 3.3 .9995 9995 9995 9996 9996 .9996 .9996 9996 .9996 9997 3.4 9997 .9997 9997 9997 9997 9997 9997 9997 9997 9998QUESTION 1 In order, what are the corresponding terms or pieces of notation for: A sample mean, Population standard deviation, A sample standard deviation, A sampling distribution, Population mean O X, O, S, A set of sample means, u O H, O, X, A set of sample means, s O H, O, X, S, A set of sample means O A set of sample means, s, x, o, M QUESTION 2 Questions 2 through 5 are based on the following scenario. A random sample of 55 customers is taken and their yearly value to the company is calculated. The calculated average value from the sample is $80 and the standard deviation calculated from the sample is $5. Find a 95% confidence interval for the population mean average value. What are the degrees of freedom for the problem? O 64 O 54 O 44 O 74 QUESTION 3 What is the correct row of the table to use for the problem? O table D with degrees of freedom=50 O table D with degrees of freedom=95% O table A with degrees of freedom=95% O table D with degrees of freedom=55 QUESTION 4 What is the value from the table to use in the problem 5.009 O 1.126 O 2.009 O 1.036 QUESTION 5 What is the confidence interval O (68.646,91.354) O (81.354,78.646) O (78.646,81.354) O (88.646,71.354)QUESTION 6 SELECT ALL THAT APPLY Could you have used the results of the previous problem to evaluate the following hypothesis test based on the particulars of the two problems and the material discussed in the lectures and review: alpha=0.10; Ho: mu=70 ; Ha: mu not equal to 70 ;SELECT ALL THAT APPLY O Yes because it is a two-sided test and this is the only thing to consider O No because the standard deviation of the sample is not provided O No because 1-alpha not equal confidence QUESTION 7 All the remaining questions are based on the following scenario. Suppose that the average trip time from Oak Park to UIC on the Blue line is 27 minutes and that the standard deviation of the population is 9 minutes. We are interested to know whether the average trip time on Thursdays is shorter. We study a sample of 49 trips on Thursdays and the average is 26.25 minutes. Execute a hypothesis test at alpha= 5% that the average trip time on Thursdays is shorter (that is, that it requires a smaller number of minutes). What are Ho and Ha? O Ho: mu=27; Ha: mu=27 O Ho: mu=27; Ha: mu>27 O Ho: mu