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The reading speed of second grade students in a large city is approximately normal, with a mean of 91 words per minute (wpm) and a standard deviation of 10 wpm. Complete parts (a) through (f). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (b) What is the probability that a random sample of 10 second grade students from the city results in a mean reading rate of more than 97 words per minute? The probability is 0.0287. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. A. If 100 different samples ofn= 10 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of less than 97 words per minute. B. If 100 different samples of n= 10 students were chosen from this population, we would expect 3 sample(s) to have sample mean reading rate of more than 97 words per minute. C. If 100 different samples of n= 10 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of exactly 97 words per minute. (c) What is the probability that a random sample of 20 second grade students from the city results in a mean reading rate of more than 97 words per minute? The probability is : (Round to four decimal places as needed.)

The reading speed of second grade students in a large city is approximately normal, with a mean of 91 words per minute (wpm) and a standard deviation of 10 wpm. Complete parts (a) through (f). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (b) What is the probability that a random sample of 10 second grade students from the city results in a mean reading rate of more than 97 words per minute? The probability is 0.0287. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. A. If 100 different samples ofn= 10 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of less than 97 words per minute. B. If 100 different samples of n= 10 students were chosen from this population, we would expect 3 sample(s) to have sample mean reading rate of more than 97 words per minute. C. If 100 different samples of n= 10 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of exactly 97 words per minute. (c) What is the probability that a random sample of 20 second grade students from the city results in a mean reading rate of more than 97 words per minute? The probability is : (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The reading speed of second grade students in a large city is approximately normal, with a mean of 91 words per minute (wpm) and a standard deviation of 10 wpm. Complete parts (a) through (f). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (b) What is the probability that a random sample of 10 second grade students from the city results in a mean reading rate of more than 97 words per minute? The probability is 0.0287 (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. A. If 100 different samples ofn = 10 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of less than 97 words per minute. B. If 100 different samples of n= 10 students were chosen from this population, we would expect 3 sample(s) to have a sample mean reading rate of more than 97 words per minute. C. If 100 different samples of n = 10 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of exactly 97 words per minute. (c) What is the probability that a random sample of 20 second grade students from the city results in a mean reading rate of more than 97 words per minute? The probability is (Round to four decimal places as needed.)
Transcribed Image Text:The reading speed of second grade students in a large city is approximately normal, with a mean of 91 words per minute (wpm) and a standard deviation of 10 wpm. Complete parts (a) through (f). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (b) What is the probability that a random sample of 10 second grade students from the city results in a mean reading rate of more than 97 words per minute? The probability is 0.0287 (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. A. If 100 different samples ofn = 10 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of less than 97 words per minute. B. If 100 different samples of n= 10 students were chosen from this population, we would expect 3 sample(s) to have a sample mean reading rate of more than 97 words per minute. C. If 100 different samples of n = 10 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of exactly 97 words per minute. (c) What is the probability that a random sample of 20 second grade students from the city results in a mean reading rate of more than 97 words per minute? The probability is (Round to four decimal places as needed.)
Standard normal distribution table (page 1) Standard normal distribution table (page 2) Area Area Standard Normal Distribution Standard Normal Distribution 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0003 0.0004 0.0006 0.0009 0.0012 0.0003 0.0004 0.0006 -3.4 -3.3 -3.2 0.0003 0.0005 0.0003 0.0005 0.0007 0.0003 0.0005 0.0006 0.5199 0.5596 0.5987 0.5319 0.5714 0.6103 0.0003 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.0002 0.0003 0.0005 0.0007 0.0010 0.5000 0.5398 0.5793 0.6179 0.6554 0.5040 0.5438 0.5832 0.5080 0.5478 0.5871 0.6255 0.6628 0.5120 0.5517 0.5910 0.5160 0.5557 0.5948 0.5239 0.5636 0.6026 0.6406 0.6772 0.5279 0.5675 0.6064 0.5359 0.5753 0.6141 0.6517 0.0 0.0004 0.0005 0.0008 0.0011 0.1 0.2 0.0007 0.0009 0.0013 0.0008 0.0011 0.6217 0.6591 0.6331 0.6700 0.6368 0.6736 0.6443 0.6808 -3.1 0.6480 0.0010 0.0013 0.0009 0.0013 0.0008 0.0012 0.0008 0.0007 0.0010 0.3 0.6293 0.6664 -3.0 0.0011 0.4 0.6844 0.6879 -29 -28 -2.7 0.0019 0.0026 0.0035 0.0017 0.0023 0.0032 0.0016 0.0022 0.0030 0.0040 0.0054 0.0015 0.0021 0.0029 0.0039 0.0052 0.0015 0.0021 0.0028 0.0014 0.0020 0.0027 0.0014 0.0019 0.0026 0.6915 0.7257 0.7580 0.6985 0.7324 0.7642 0.7939 0.8212 0.7019 0.7357 0.7673 0.7123 0.7454 0.7764 0.8051 0.8315 0.7157 0.0018 0.0025 0.0034 0.0018 0.0024 0.0033 0.0016 0.0023 0.0031 0.7224 0.7549 0.7852 0.5 0.6950 0.7291 0.7611 0.7054 0.7389 0.7704 0.7088 0.7422 0.7734 0.7486 0.7794 0.7190 0.7517 0.7823 0.6 0.7 -2.6 -2.5 0.0047 0.0062 0.0045 0.0060 0.0044 0.0059 0.0038 0.0051 0.7881 0.8159 0.7967 0.8238 0.8023 0.8289 0.8133 0.8389 0.0043 0.0041 0.0037 0.0049 0.0036 0.0048 0.8 0.7910 0.8186 0.7995 0.8264 0.8078 0.8106 0.8365 0.0057 0.0055 0.9 0.8340 0.0080 0.0104 0.0136 0.0174 0.0222 0.0078 0.0102 0.0132 0.0170 0.0217 -2.4 -2.3 -2.2 0.0082 0.0107 0.0139 0.0075 0.0099 0.0073 0.0096 0.0125 0.0071 0.0094 0.0122 0.0069 0.0091 0.0119 0.0068 0.0089 0.0116 0.0064 0.0084 0.0110 0.8413 0.8643 0.8849 0.8438 0.8665 0.8485 0.8708 0.8907 0.8508 0.8729 0.8925 0.8599 0.8810 0.8997 0.8461 0.0066 0.0087 0.0113 1.0 1.1 1.2 0.8531 0.8749 0.8944 0.8554 0.8770 0.8962 0.8577 0.8790 0.8980 0.8621 0.8830 0.90 15 0.8686 0.8888 0.9066 0.9222 0.0129 0.8869 -2.1 -2.0 0.0179 0.0228 0.0166 0.0212 0.0162 0.0207 0.0158 0.0202 0.0154 0.0197 0.0150 0.0192 0.0146 0.0188 0.0143 0.0183 1.3 1.4 0.9032 0.9192 0.9082 0.9236 0.9115 0.9265 0.9049 0.9099 0.9251 0.9131 0.9147 0.9292 0.9162 0.9306 0.9177 0.9207 0.9279 0.9319 0.0287 0.0359 0.0446 0.0268 0.0336 0.0418 0.0256 0.0322 0.0401 0.0250 0.0314 0.0392 0.0239 0.0301 0.0375 0.0465 0.0571 1.5 1.6 1.7 1.8 1.9 0.9357 0.9474 0.9573 0.9656 0.9726 -1.9 -1.8 -1.7 -1.6 0.0281 0.0351 0.0436 0.0274 0.0344 0.0427 0.0262 0.0329 0.0409 0.0505 0.0618 0.0244 0.0307 0.0384 0.0233 0.0294 0.0367 0.9332 0.9452 0.9554 0.9345 0.9463 0.9564 0.9370 0.9484 0.9582 0.9382 0.9495 0.9591 0.9394 0.9505 0.9599 0.9406 0.9515 0.9418 0.9525 0.9616 0.9429 0.9535 0.9625 0.9441 0.9545 0.9633 0.9706 0.9608 0.0548 0.0668 0.0537 0.0655 0.0526 0.0643 0.0495 0.0606 0.9641 0.9713 0.0516 0.0485 0.0594 0.0475 0.0582 0.0455 0.0559 0.9649 0.9719 0.9693 0.9756 0.9664 0.9671 0.9738 0.9678 0.9744 0.9686 0.9699 0.9761 -1.5 0.0630 0.9732 0.9750 0.9767 -14 -13 -1.2 0.0793 0.0951 0.1131 0.1335 0.1562 0.0764 0.0918 0.1093 0.0749 0.0901 0.1075 0.1271 0.1492 0.0735 0.0885 0.1056 0.1251 0.1469 0.0721 0.0869 0.1038 0.0708 0.0853 0.1020 0.9772 0.9821 0.9861 0.9893 0.9918 0.9817 0.9857 0.9890 0.0808 0.0968 0.1151 0.0778 0.0934 0.0694 0.0838 0.1003 0.0681 0.0823 0.0985 2.0 2.1 0.9778 0.9826 0.9864 0.9783 0.9830 0.9868 0.9788 0.9834 0.9871 0.9793 0.9838 0.9875 0.9798 0.9842 0.9878 0.9803 0.9846 0.9881 0.9808 0.9850 0.9884 0.9812 0.9854 0.9887 0.1112 2.2 -1.1 -1.0 0.1357 0.1587 0.1210 0.1423 0.1190 0.1401 0.1170 0.1379 2.3 2.4 0.9906 0.9929 0.9916 0.9936 0.1314 0.1292 0.1515 0.1230 0.1446 0.9896 0.9898 0.9901 0.9925 0.9904 0.9909 0.9911 0.9913 0.1539 0.9920 0.9922 0.9927 0.9931 0.9932 0.9934 0.1841 0.2119 0.2420 0.1736 0.2005 0.2296 0.2611 0.1635 0.1894 0.2177 0.9938 0.9953 0.9965 0.9945 0.9959 0.9969 0.9946 0.9960 0.9970 -0.9 -08 0.1814 0.2090 0.2389 0.1788 0.2061 0.2358 0.1762 0.2033 0.2327 0.2643 0.1711 0.1977 0.2266 0.1685 0.1949 0.2236 0.1660 0.1922 0.2206 0.2514 0.1611 0.1867 0.2148 2.5 2.6 2.7 0.9940 0.9955 0.9966 0.9941 0.9956 0.9967 0.9943 0.9957 0.9968 0.9948 0.9961 0.9971 0.9949 0.9962 0.9972 0.0079 0.9951 0.9963 0.9973 0.9952 0.9964 0.9974 -0.7 -0.6 0.2743 0.2709 0.2676 0.2578 0.2546 0.2483 0.2451 2.8 0.0074 0.0075 0.0076 0.0077 0.0077 0.0078 0.0070 0.0080 0.0081
Transcribed Image Text:Standard normal distribution table (page 1) Standard normal distribution table (page 2) Area Area Standard Normal Distribution Standard Normal Distribution 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0003 0.0004 0.0006 0.0009 0.0012 0.0003 0.0004 0.0006 -3.4 -3.3 -3.2 0.0003 0.0005 0.0003 0.0005 0.0007 0.0003 0.0005 0.0006 0.5199 0.5596 0.5987 0.5319 0.5714 0.6103 0.0003 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.0002 0.0003 0.0005 0.0007 0.0010 0.5000 0.5398 0.5793 0.6179 0.6554 0.5040 0.5438 0.5832 0.5080 0.5478 0.5871 0.6255 0.6628 0.5120 0.5517 0.5910 0.5160 0.5557 0.5948 0.5239 0.5636 0.6026 0.6406 0.6772 0.5279 0.5675 0.6064 0.5359 0.5753 0.6141 0.6517 0.0 0.0004 0.0005 0.0008 0.0011 0.1 0.2 0.0007 0.0009 0.0013 0.0008 0.0011 0.6217 0.6591 0.6331 0.6700 0.6368 0.6736 0.6443 0.6808 -3.1 0.6480 0.0010 0.0013 0.0009 0.0013 0.0008 0.0012 0.0008 0.0007 0.0010 0.3 0.6293 0.6664 -3.0 0.0011 0.4 0.6844 0.6879 -29 -28 -2.7 0.0019 0.0026 0.0035 0.0017 0.0023 0.0032 0.0016 0.0022 0.0030 0.0040 0.0054 0.0015 0.0021 0.0029 0.0039 0.0052 0.0015 0.0021 0.0028 0.0014 0.0020 0.0027 0.0014 0.0019 0.0026 0.6915 0.7257 0.7580 0.6985 0.7324 0.7642 0.7939 0.8212 0.7019 0.7357 0.7673 0.7123 0.7454 0.7764 0.8051 0.8315 0.7157 0.0018 0.0025 0.0034 0.0018 0.0024 0.0033 0.0016 0.0023 0.0031 0.7224 0.7549 0.7852 0.5 0.6950 0.7291 0.7611 0.7054 0.7389 0.7704 0.7088 0.7422 0.7734 0.7486 0.7794 0.7190 0.7517 0.7823 0.6 0.7 -2.6 -2.5 0.0047 0.0062 0.0045 0.0060 0.0044 0.0059 0.0038 0.0051 0.7881 0.8159 0.7967 0.8238 0.8023 0.8289 0.8133 0.8389 0.0043 0.0041 0.0037 0.0049 0.0036 0.0048 0.8 0.7910 0.8186 0.7995 0.8264 0.8078 0.8106 0.8365 0.0057 0.0055 0.9 0.8340 0.0080 0.0104 0.0136 0.0174 0.0222 0.0078 0.0102 0.0132 0.0170 0.0217 -2.4 -2.3 -2.2 0.0082 0.0107 0.0139 0.0075 0.0099 0.0073 0.0096 0.0125 0.0071 0.0094 0.0122 0.0069 0.0091 0.0119 0.0068 0.0089 0.0116 0.0064 0.0084 0.0110 0.8413 0.8643 0.8849 0.8438 0.8665 0.8485 0.8708 0.8907 0.8508 0.8729 0.8925 0.8599 0.8810 0.8997 0.8461 0.0066 0.0087 0.0113 1.0 1.1 1.2 0.8531 0.8749 0.8944 0.8554 0.8770 0.8962 0.8577 0.8790 0.8980 0.8621 0.8830 0.90 15 0.8686 0.8888 0.9066 0.9222 0.0129 0.8869 -2.1 -2.0 0.0179 0.0228 0.0166 0.0212 0.0162 0.0207 0.0158 0.0202 0.0154 0.0197 0.0150 0.0192 0.0146 0.0188 0.0143 0.0183 1.3 1.4 0.9032 0.9192 0.9082 0.9236 0.9115 0.9265 0.9049 0.9099 0.9251 0.9131 0.9147 0.9292 0.9162 0.9306 0.9177 0.9207 0.9279 0.9319 0.0287 0.0359 0.0446 0.0268 0.0336 0.0418 0.0256 0.0322 0.0401 0.0250 0.0314 0.0392 0.0239 0.0301 0.0375 0.0465 0.0571 1.5 1.6 1.7 1.8 1.9 0.9357 0.9474 0.9573 0.9656 0.9726 -1.9 -1.8 -1.7 -1.6 0.0281 0.0351 0.0436 0.0274 0.0344 0.0427 0.0262 0.0329 0.0409 0.0505 0.0618 0.0244 0.0307 0.0384 0.0233 0.0294 0.0367 0.9332 0.9452 0.9554 0.9345 0.9463 0.9564 0.9370 0.9484 0.9582 0.9382 0.9495 0.9591 0.9394 0.9505 0.9599 0.9406 0.9515 0.9418 0.9525 0.9616 0.9429 0.9535 0.9625 0.9441 0.9545 0.9633 0.9706 0.9608 0.0548 0.0668 0.0537 0.0655 0.0526 0.0643 0.0495 0.0606 0.9641 0.9713 0.0516 0.0485 0.0594 0.0475 0.0582 0.0455 0.0559 0.9649 0.9719 0.9693 0.9756 0.9664 0.9671 0.9738 0.9678 0.9744 0.9686 0.9699 0.9761 -1.5 0.0630 0.9732 0.9750 0.9767 -14 -13 -1.2 0.0793 0.0951 0.1131 0.1335 0.1562 0.0764 0.0918 0.1093 0.0749 0.0901 0.1075 0.1271 0.1492 0.0735 0.0885 0.1056 0.1251 0.1469 0.0721 0.0869 0.1038 0.0708 0.0853 0.1020 0.9772 0.9821 0.9861 0.9893 0.9918 0.9817 0.9857 0.9890 0.0808 0.0968 0.1151 0.0778 0.0934 0.0694 0.0838 0.1003 0.0681 0.0823 0.0985 2.0 2.1 0.9778 0.9826 0.9864 0.9783 0.9830 0.9868 0.9788 0.9834 0.9871 0.9793 0.9838 0.9875 0.9798 0.9842 0.9878 0.9803 0.9846 0.9881 0.9808 0.9850 0.9884 0.9812 0.9854 0.9887 0.1112 2.2 -1.1 -1.0 0.1357 0.1587 0.1210 0.1423 0.1190 0.1401 0.1170 0.1379 2.3 2.4 0.9906 0.9929 0.9916 0.9936 0.1314 0.1292 0.1515 0.1230 0.1446 0.9896 0.9898 0.9901 0.9925 0.9904 0.9909 0.9911 0.9913 0.1539 0.9920 0.9922 0.9927 0.9931 0.9932 0.9934 0.1841 0.2119 0.2420 0.1736 0.2005 0.2296 0.2611 0.1635 0.1894 0.2177 0.9938 0.9953 0.9965 0.9945 0.9959 0.9969 0.9946 0.9960 0.9970 -0.9 -08 0.1814 0.2090 0.2389 0.1788 0.2061 0.2358 0.1762 0.2033 0.2327 0.2643 0.1711 0.1977 0.2266 0.1685 0.1949 0.2236 0.1660 0.1922 0.2206 0.2514 0.1611 0.1867 0.2148 2.5 2.6 2.7 0.9940 0.9955 0.9966 0.9941 0.9956 0.9967 0.9943 0.9957 0.9968 0.9948 0.9961 0.9971 0.9949 0.9962 0.9972 0.0079 0.9951 0.9963 0.9973 0.9952 0.9964 0.9974 -0.7 -0.6 0.2743 0.2709 0.2676 0.2578 0.2546 0.2483 0.2451 2.8 0.0074 0.0075 0.0076 0.0077 0.0077 0.0078 0.0070 0.0080 0.0081
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