Take a Test - Daunyelle Robinson - Google Chrome - X mathxl.com/Student/PlayerTest.aspx?testld=233512586¢erwin=yes 2021 Fall Session A Math 201-10 Daunyelle Robinson | 10/17/21 5:03 AM = Test: Final Exam Question 12 This Test: 15 pts possible Submit Test Suppose a geyser has a mean time between eruptions of 75 minutes. If the interval of time between the eruptions is normally distributed with standard deviation 16 minutes, answer the following questions. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What is the probability that a randomly selected time interval between eruptions is longer than 82 minutes? The probability that a randomly selected time interval is longer than 82 minutes is approximately . (Round to four decimal places as needed.) (b) What is the probability that a random sample of 11 time intervals between eruptions has a mean longer than 82 minutes? The probability that the mean of a random sample of 11 time intervals is more than 82 minutes is approximately | |. (Round to four decimal places as needed.) (c) What is the probability that a random sample of 21 time intervals between eruptions has a mean longer than 82 minutes? The probability that the mean of a random sample of 21 time intervals is more than 82 minutes is approximately | |. (Round to four decimal places as needed.) (d) What effect does increasing the sample size have on the probability? Provide an explanation for this result. Choose the correct answer below. O A. The probability decreases because the variability in the sample mean decreases as the sample size increases. O B. The probability increases because the variability in the sample mean decreases as the sample size increases. O C. The probability decreases because the variability in the sample mean increases as the sample size increases. O D. The probability increases because the variability in the sample mean increases as the sample size increases. (e) What might you conclude if a random sample of 21 time intervals between eruptions has a mean longer than 82 minutes? Choose the best answer below. O A. The population mean must be more than 75, since the probability is so low. O B. The population mean must be less than 75, since the probability is so low. O C. The population mean may be greater than 75 O D. The population mean is 75 minutes, and this is an example of a typical sampling. StatCrunch Next Type here to search O w 45OF Clear ~ 9 ( ) 3 10/17/2021 4:03 AM 16Take a Test - Daunyelle Robinson - Google Chrome - X mathxl.com/Student/PlayerTest.aspx?testld=233512586¢erwin=yes 2021 Fall Session A Math 201-10 Daunyelle Robinson # | 10/17/21 5:04 AM = Test: Final Exam Question 12 This Test: 15 pts possible Submit Test Suppose a geyser has a mean time between eruptions of 75 minutes. If the interval of time between the eruptions is normally distributed with standard deviation 16 minutes, answer the following questions. Click here to view the standard normal distribution table (page 1) Click here to view the standard normal distribution table (page 2) - X -X Standard Normal Distribution Table (page 1) Standard Normal Distribution Table (page 2) Area Standard Normal Distribution Standard Normal Distribution Z 0.00 0.01 0.02 0.03 0.0 0.0 0.06 0.07 0.08 0.09 Z 0.00 0.01 0.02 0.03 0.0 0.0 0.06 0.07 0.08 0.09 -3.4 0.0003 0.0003 0.000 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 0.0 0.5000 0.5040 2.5080 0.512 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.0605 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 0.5438 0.5478 0 5317 0.5557 0.5636 0314 0.5753 0.0007 0.0007 0.0006 0.0006 0.00 06 0.000 0.0006 0.0005 0.0005 0.0005 0.2 0.5793 0.5832 0.5871 0.5948 0.6026 0.6064 0.6141 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.5987 0.0013 0.6368 0.6628 0.6406 0.6443 .6480 0.6517 -3.0 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 0.4 0.6554 0.6591 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 -29 0.0019 0.0018 0.0018 0.0017 0.0016 .0016 0.0015 .0015 0.0014 0.0014 0.5 1.6915 0.6950 0.6985 0.7019 D.7054 0.7088 0.7123 .715 0.7190 0.7224 -2.8 0.0026 0.0025 0.0024 0.002 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 0.6 0.725 0.7291 0.7324 0.7357 0.7389 0.7422 0. 1434 0. 748 0.7517 0.7549 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.0047 0.0045 0.0044 0.004 0.0041 0.0039 0.003 0.0037 0.0036 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0,8051 0.8078 0.8106 0.8133 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0 0051 0.0/49 0.0048 0.8159 0.8212 0.8238 0.8264 .8289 0.8315 .8340 0.8389 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0068 0.0066 0.0064 1.0 1.8413 0.8438 0.8461 0.8485 D.8508 0.8531 0.8554 0.8577 0.8599 0.8621 -2.3 0.0107 0.0104 0.0107 0.0090 0.0096 0.0094 0.0089 0.0087 0.0084 0.8643 0.8665 0.8686 0.8708 0.8749 0.8770 0.8790 0.8810 -2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 1.2 0.8849 0.8869 0.8888 0.8729 0.8907 0.8925 0.8944 0.8067 0.8980 0.8997 0.9015 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 1.3 0.9032 0.9049 0.9066 0.9082 0.9090 0.9115 0.0131 0.9147 0.9162 0.9177 0.0228 0.0222 0.0217 D.0212 0 0307 0.0197 0.0192 0.0188 0.0183 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9702 0.9306 0.9319 -1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 -1.8 0.0359 0.0351 0.0344 0.0336 0 0320 0.0322 0.0314 0.0307 0.0301 0 0204 1.6 10452 0.9463 0.9474 0.9484 D.9495 0.9505 0.9515 0.9525 0.9535 0.9545 -1.7 0.0446 0.0436 0.0427 0.0418 0.0400 0.0401 0.0392 0.0384 0.0367 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 -1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0 0686 0.9693 0 0600 0.9706 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 1.9 0.9713 0.9719 0.9126 0.9732 0.9738 0.9744 .9750 0.9756 0.9761 0.9767 -14 0.0808 0,0793 0.0778 0.076 0.0749 0.073 0.072 0.0708 0.0694 0.0681 2.0 0.9772 0.9778 0.9783 0.9789 0.9793 0.9798 0.0803 ).080 0.9812 0.981 -13 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 -1.2 0.1151 0.1131 0.1112 0.1092 0.1075 0.1056 0.1038 0.1020 .1003 0.0985 2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 -1.1 0.1357 0.1335 0.1314 0.1292 3.127 D.125 0.123 0.1210 0.1190 0.117 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 -1.0 0.1587 0.1562 0.1539 01515 0.1492 0.146 01446 0.1423 0.1401 0.1379 2.4 .9918 0.9920 0.9922 0.9925 0.9927 0.9020 0.9031 0.9932 0.9934 0.993 0.1841 0.1814 0.1788 0.1762 0.1736 0.171 0.168 0.166 0.163 0.161 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 .9949 0.9951 0.9952 -08 0.21 19 0.2090 0.2061 0.203 0 2005 0.1077 0.1949 0.192 0.1894 0 186 2.6 0.9953 0.9955 0.9956 0.9957 0.9050 0.9960 0.9962 0.9963 -0.7 0.2420 0.2389 0.2358 0.2296 0.2266 0.2256 0.2206 0.2177 2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 -0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 .2514 0.2483 0.2451 2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 -0.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.284 0.2810 0.2776 2.9 .9981 0.9982 0.9082 1.9983 0.9984 0.9984 0,9085 0.9985 0.9986 0.9986 -04 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 .3192 0.3156 0.3121 3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 -03 0.3821 0.3783 0.3745 0.3707 0 366 0.3632 0.359 0.3557 0.3520 0.3483 3.1 0.9990 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 -0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 3.2 0.9993 0.9093 0.9994 0.9994 0.9994 0.9994 0.0904 0.9995 0.9995 0.9995 -0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 3.3 0.9995 0.9995 0.9095 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 -0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641 .9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 Next Print Done Print Done Type here to search O w 45 F Clear ~ 9 (