Homework Help is Here – Start Your Trial Now!
Math
Statistics
The acceptable level for insect filth in a certain food item is 4 insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A simple random sample of 40 ten-gram portions of the food item is obtained and results in a sample mean of x = 4.2 insect fragments per ten-gram portion. Complete parts (a) through (c) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) Why is the sampling distribution of x approximately normal? O A. The sampling distribution is approximately normal because the popluation is normally distributed. O B. The sampling distribution is assumed to be approximately normal. O C. The sampling distribution is approximately normal because the sample size is large enough. D. The sampling distribution is approximately normal because the population is normally distributed and the sample size is large enough.

The acceptable level for insect filth in a certain food item is 4 insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A simple random sample of 40 ten-gram portions of the food item is obtained and results in a sample mean of x = 4.2 insect fragments per ten-gram portion. Complete parts (a) through (c) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) Why is the sampling distribution of x approximately normal? O A. The sampling distribution is approximately normal because the popluation is normally distributed. O B. The sampling distribution is assumed to be approximately normal. O C. The sampling distribution is approximately normal because the sample size is large enough. D. The sampling distribution is approximately normal because the population is normally distributed and the sample size is large enough.

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
See similar textbooks
icon
Related questions
Question
The acceptable level for insect filth in a certain food item is 4 insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A simple random sample of 40 ten-gram portions of the food item is obtained and results in a sample mean of x = 4.2 insect fragments per ten-gram portion. Complete parts (a) through (c) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) Why is the sampling distribution of x approximately normal? OA. The sampling distribution is approximately normal because the popluation is normally distributed. O B. The sampling distribution is assumed to be approximately normal. OC. The sampling distribution is approximately normal because the sample size is large enough. O D. The sampling distribution is approximately normal because the population is normally distributed and the sample size is large enough. O Standard Normal Distribution Table (page 1) Area Standard Normal Distribution 0.00 0.01 0.02 0.03 0.04 0.05 0,06 0.07 0,08 0,09 -34 0.0003 0.0005 0.0007 0.0010 0.0013 0.0003 0.0005 0.0007 0.0003 0.0005 0.0006 0.0003 0.0004 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.0003 0.0004 0.0005 0.0002 0.0003 0.0005 0.0007 0.0010 -32 0.0006 0.0009 -31 -30 0.0008 0.0012 0.0008 0.0011 0.0007 0.0010 0.0009 0.0009 0.0008 0.0011 0.0008 0.0013 0.0013 0.0012 0.0011 0.0014 0.0019 0.0026 0.0036 0.0015 -29 -28 -2.7 0.0019 0.0026 0.0035 0.0018 0.0025 0.0034 0.0018 0.0024 0.0033 0.0017 0.0023 0.0032 0.0016 0.0023 0.0031 0.0016 0.0022 0.0021 0.0029 0.0015 0.0021 0.0028 0.0014 0.0020 0.0027 -26 -2.5 0.0047 0.0062 0.0045 0.0060 0.0044 0.0059 0.0043 0.0057 0.0030 0.0040 0.0054 0.0039 0.0052 0.0038 0.0051 0.0041 0.0037 0.0049 0.0055 0.0048 -24 -23 -2.2 -2.1 -2.0 0.0082 0.0107 0.0139 0.0179 0.0228 0.0080 0.0078 0.0075 0.0099 0.0073 0.0096 0.0071 0.0069 0.0068 0.0089 0.0066 0.0064 0.0104 0.0136 0.0174 0.0222 0.0102 0.0132 0.0170 0.0217 0.0094 0.0122 0.0158 0.0202 0.0091 0.0119 0.0154 0.0197 0.0087 0.0113 0.0146 0.0188 0.0084 0.0110 0.0129 0.0166 0.0212 0.0125 0.0162 0.0207 0.0116 0.0150 0.0192 0.0143 0.0183 -1.9 -1.K -1.7 0.0287 0.0359 0.0446 0.0548 0.0668 0.0281 0.0351 0.0436 0.0537 0.0655 0.0274 0,0344 0.0427 0.0526 0.0643 0.0268 0.0336 0.0418 0.0516 0.0630 0.0262 0.0256 0.0322 0.0401 0.0495 0.0606 0.0250 0.0314 0.0392 0.0244 0.0307 0.0239 0.0301 0.0375 0.0465 0.0233 0.0294 0.0367 0.0329 0.0400 0.0384 0.0475 -16 0.0505 0.0618 0.0485 0.0455 0.0559 -1.5 0.0594 0.0582 0.0571 0.0793 0.0951 0.1131 0.1335 0.1562 0.0778 0.0934 0.1112 0.0764 -14 -1.3 -1.2 0.0808 0.0968 0.1151 0.1357 0.1587 0.0918 0.1093 0.1292 0.1515 0.0749 0.0901 0.1075 0.0735 0.0885 0.1056 0.1251 0.1469 0.0721 0.0869 0.1038 0.1230 0.1446 0.0708 0.0853 0.1020 0.1210 0.1423 0.0694 0.0838 0.1003 0.0681 0.0823 0.0985 0.1170 0.1379 -1.1 -1.0 0.1314 0.1539 0.1271 0.1492 0.1190 0.1401 -0.9 0.1841 0.1814 0.2090 0.2389 0.2709 0.3050 0.1788 0.1762 0.2033 0.2327 0.2643 0.2981 0.1736 0.1711 0.1685 0.1949 0.1660 0.1635 0.1894 0.2177 0.2483 0.2810 0.1611 0.1867 02119 02420 02743 0.3085 0.2061 0.2358 0.2676 0.3015 0.2005 0.2296 0.2611 0.2946 0.1977 0.2266 0.2578 0.2912 0.1922 0.2206 0.2514 0.2843 -07 0.2236 0.2546 0.2877 0.2148 0.2451 0.2776 -0.5 0.3409 0.3783 04168 0.3372 0.3745 0.4129 0.4522 0.4920 03336 03707 0.4090 0.3300 0.3669 0.4052 0.4443 0.4840 0.3264 0.3632 0.4013 0.3228 0.3594 0.3974 0.3121 0.3483 0.3859 -04 -0.3 0.3446 0.3821 0.3192 0.3557 0.3936 0.3156 0.3520 0.3897 -0.2 -0.1 04207 0.4602 0.5000 04562 0.4960 0.4483 0.4880 0.4404 0.4801 0.4364 0.4761 0.4325 04286 0.4681 0.4247 0.4641 0.4721 0,00 0.01 0.02 0.03 0.04 0.05 0.06 0,07 0.08 0.09
Transcribed Image Text:The acceptable level for insect filth in a certain food item is 4 insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A simple random sample of 40 ten-gram portions of the food item is obtained and results in a sample mean of x = 4.2 insect fragments per ten-gram portion. Complete parts (a) through (c) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) Why is the sampling distribution of x approximately normal? OA. The sampling distribution is approximately normal because the popluation is normally distributed. O B. The sampling distribution is assumed to be approximately normal. OC. The sampling distribution is approximately normal because the sample size is large enough. O D. The sampling distribution is approximately normal because the population is normally distributed and the sample size is large enough. O Standard Normal Distribution Table (page 1) Area Standard Normal Distribution 0.00 0.01 0.02 0.03 0.04 0.05 0,06 0.07 0,08 0,09 -34 0.0003 0.0005 0.0007 0.0010 0.0013 0.0003 0.0005 0.0007 0.0003 0.0005 0.0006 0.0003 0.0004 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.0003 0.0004 0.0005 0.0002 0.0003 0.0005 0.0007 0.0010 -32 0.0006 0.0009 -31 -30 0.0008 0.0012 0.0008 0.0011 0.0007 0.0010 0.0009 0.0009 0.0008 0.0011 0.0008 0.0013 0.0013 0.0012 0.0011 0.0014 0.0019 0.0026 0.0036 0.0015 -29 -28 -2.7 0.0019 0.0026 0.0035 0.0018 0.0025 0.0034 0.0018 0.0024 0.0033 0.0017 0.0023 0.0032 0.0016 0.0023 0.0031 0.0016 0.0022 0.0021 0.0029 0.0015 0.0021 0.0028 0.0014 0.0020 0.0027 -26 -2.5 0.0047 0.0062 0.0045 0.0060 0.0044 0.0059 0.0043 0.0057 0.0030 0.0040 0.0054 0.0039 0.0052 0.0038 0.0051 0.0041 0.0037 0.0049 0.0055 0.0048 -24 -23 -2.2 -2.1 -2.0 0.0082 0.0107 0.0139 0.0179 0.0228 0.0080 0.0078 0.0075 0.0099 0.0073 0.0096 0.0071 0.0069 0.0068 0.0089 0.0066 0.0064 0.0104 0.0136 0.0174 0.0222 0.0102 0.0132 0.0170 0.0217 0.0094 0.0122 0.0158 0.0202 0.0091 0.0119 0.0154 0.0197 0.0087 0.0113 0.0146 0.0188 0.0084 0.0110 0.0129 0.0166 0.0212 0.0125 0.0162 0.0207 0.0116 0.0150 0.0192 0.0143 0.0183 -1.9 -1.K -1.7 0.0287 0.0359 0.0446 0.0548 0.0668 0.0281 0.0351 0.0436 0.0537 0.0655 0.0274 0,0344 0.0427 0.0526 0.0643 0.0268 0.0336 0.0418 0.0516 0.0630 0.0262 0.0256 0.0322 0.0401 0.0495 0.0606 0.0250 0.0314 0.0392 0.0244 0.0307 0.0239 0.0301 0.0375 0.0465 0.0233 0.0294 0.0367 0.0329 0.0400 0.0384 0.0475 -16 0.0505 0.0618 0.0485 0.0455 0.0559 -1.5 0.0594 0.0582 0.0571 0.0793 0.0951 0.1131 0.1335 0.1562 0.0778 0.0934 0.1112 0.0764 -14 -1.3 -1.2 0.0808 0.0968 0.1151 0.1357 0.1587 0.0918 0.1093 0.1292 0.1515 0.0749 0.0901 0.1075 0.0735 0.0885 0.1056 0.1251 0.1469 0.0721 0.0869 0.1038 0.1230 0.1446 0.0708 0.0853 0.1020 0.1210 0.1423 0.0694 0.0838 0.1003 0.0681 0.0823 0.0985 0.1170 0.1379 -1.1 -1.0 0.1314 0.1539 0.1271 0.1492 0.1190 0.1401 -0.9 0.1841 0.1814 0.2090 0.2389 0.2709 0.3050 0.1788 0.1762 0.2033 0.2327 0.2643 0.2981 0.1736 0.1711 0.1685 0.1949 0.1660 0.1635 0.1894 0.2177 0.2483 0.2810 0.1611 0.1867 02119 02420 02743 0.3085 0.2061 0.2358 0.2676 0.3015 0.2005 0.2296 0.2611 0.2946 0.1977 0.2266 0.2578 0.2912 0.1922 0.2206 0.2514 0.2843 -07 0.2236 0.2546 0.2877 0.2148 0.2451 0.2776 -0.5 0.3409 0.3783 04168 0.3372 0.3745 0.4129 0.4522 0.4920 03336 03707 0.4090 0.3300 0.3669 0.4052 0.4443 0.4840 0.3264 0.3632 0.4013 0.3228 0.3594 0.3974 0.3121 0.3483 0.3859 -04 -0.3 0.3446 0.3821 0.3192 0.3557 0.3936 0.3156 0.3520 0.3897 -0.2 -0.1 04207 0.4602 0.5000 04562 0.4960 0.4483 0.4880 0.4404 0.4801 0.4364 0.4761 0.4325 04286 0.4681 0.4247 0.4641 0.4721 0,00 0.01 0.02 0.03 0.04 0.05 0.06 0,07 0.08 0.09
Standard Normal Distribution Table (page 2) Area - Standard Normal Distribution 0.00 0,01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.1 0.2 0.5000 0.5398 0.5793 0.6179 0.6554 0.5040 0.5438 0.5832 0.6217 0.6591 0.5080 0.5478 0.5871 0.6255 0.6628 0.5120 0,5517 0.5910 0.5160 0.5557 0.5948 0.5199 0.5596 0.5987 0.5239 0,5636 0.6026 0.6406 0.6772 0.5279 0.5675 0.6064 0.6443 0.6808 0.5319 0.5714 0.6103 0,6480 0,6844 0,5359 0.5753 0.6141 0,6517 0,6879 0.6293 0.6664 0.6331 0.6700 0.6368 0.6736 0.3 0.4 0.6915 0.7257 0.7580 0.7881 0.8159 0.6985 0.7324 0.7642 0.7939 0.8212 0.7088 0.7422 0.7734 0.7123 0.7454 0.7764 0.5 0.7157 0.6950 0.7291 0.7611 0.7019 0.7357 0.7673 0.7967 0.8238 0.7054 0.7389 0.7704 0.7190 0,7517 0.7823 0,7224 0,7549 0.6 0.7486 0.7794 0,8078 0.7852 0.8133 0.8389 0,7 0.7910 0.8186 0.8023 0.8289 0.8051 0.8315 0.8106 0.8365 0.8 0.7995 0.8264 0.9 0.8340 0.8531 0,8749 0.8944 0.9115 0.9265 0.8413 0.8643 0.8461 0.8485 0.8708 0.8907 0.9082 0.9236 0.8508 0.8729 0.8925 0.8577 0.8790 0.8599 0,8810 0.8997 0.9162 0.9306 0.8621 1.0 1.1 1.2 0.8438 0.8665 0.8869 0.9049 0.9207 0.8554 0,8770 0.8962 0.9131 0.9279 0.8686 0.8849 0.9032 0.9192 0.8888 0.9066 0.9222 0.8830 0,90 15 0.9177 0.9319 0.8980 1.3 1.4 0.9099 0.9251 0.9147 0.9292 1.5 1.6 1.7 0.9332 0.9452 0.9554 0.9641 0.9713 0.9345 0.9463 0.9564 0.9649 0.9719 0.9357 0.9474 0.9573 0.9656 0.9726 0.9370 0.9484 0.9582 0.9664 0.9732 0.9382 0.9495 0.9591 0.9394 0.9505 0.9599 0.9678 0.9744 0.9406 0.9515 0.9608 0.9686 0.9750 0.9418 0.9525 0.9616 0.9429 0.9535 0.9625 0.9699 0.9761 0.9441 0.9545 0.9633 0.9706 0.9767 0.9671 0.9738 0.9693 0.9756 1.8 1.9 2.0 2.1 2.2 2.3 2.4 0.9772 0.9821 0.9861 0.9893 0,9918 0.9778 0.9826 0,9864 0.9896 0.9920 0.9783 0.9830 0.9868 0,9788 0.9834 0.9871 0.9901 0.9925 0.9793 0.9838 0.9875 0.9904 0.9927 0.9798 0.9842 0.9878 0.9803 0.9846 0.9881 0.9808 0.9850 0.9884 0,9812 0.9854 0.9887 0.9913 0.9934 0.9817 0.9857 0.9890 0.9916 0.9936 0.9898 0.9906 0.9909 0.9911 0.9922 0.9929 0.9931 0.9932 0.9945 0.9959 0.9969 2.5 2.6 2.7 2.8 0.9938 0.9953 0.9965 0.9974 0.9981 0.9940 0.9955 0.9966 0.9941 0.9956 0.9967 0.9976 0.9982 0.9943 0.9957 0.9968 0.9946 0.9960 0,9970 0.9978 0.9984 0.9948 0.9961 0.9971 0.9949 0.9962 0.9972 0.9951 0.9963 0.9973 0.9980 0.9986 0.9952 0.9964 0.9974 0.9975 0.9982 0.9977 0.9983 0.9977 0.9984 0.9979 0.9985 0.9979 0.9985 0.9981 0.9986 2.9 0.9990 0.9993 0.9995 0,9997 0,9987 0.9989 0.9992 0.9994 0,9996 0.9997 0.9989 0.9992 0.9994 3.0 3.1 0.9990 0.9993 0.9995 0.9987 0.9991 0.9993 0,9995 0.9997 0.9987 0.9991 0.9994 0.9988 0.9991 0.9994 0,9996 0.9988 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9995 0.9996 0,9997 0.9990 0.9993 0.9995 3.2 3.3 3.4 0,9996 0.9997 0.9996 0.9995 0.9997 0.9997 0.9997 0.9997 0.9998 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 Print Done
Transcribed Image Text:Standard Normal Distribution Table (page 2) Area - Standard Normal Distribution 0.00 0,01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.1 0.2 0.5000 0.5398 0.5793 0.6179 0.6554 0.5040 0.5438 0.5832 0.6217 0.6591 0.5080 0.5478 0.5871 0.6255 0.6628 0.5120 0,5517 0.5910 0.5160 0.5557 0.5948 0.5199 0.5596 0.5987 0.5239 0,5636 0.6026 0.6406 0.6772 0.5279 0.5675 0.6064 0.6443 0.6808 0.5319 0.5714 0.6103 0,6480 0,6844 0,5359 0.5753 0.6141 0,6517 0,6879 0.6293 0.6664 0.6331 0.6700 0.6368 0.6736 0.3 0.4 0.6915 0.7257 0.7580 0.7881 0.8159 0.6985 0.7324 0.7642 0.7939 0.8212 0.7088 0.7422 0.7734 0.7123 0.7454 0.7764 0.5 0.7157 0.6950 0.7291 0.7611 0.7019 0.7357 0.7673 0.7967 0.8238 0.7054 0.7389 0.7704 0.7190 0,7517 0.7823 0,7224 0,7549 0.6 0.7486 0.7794 0,8078 0.7852 0.8133 0.8389 0,7 0.7910 0.8186 0.8023 0.8289 0.8051 0.8315 0.8106 0.8365 0.8 0.7995 0.8264 0.9 0.8340 0.8531 0,8749 0.8944 0.9115 0.9265 0.8413 0.8643 0.8461 0.8485 0.8708 0.8907 0.9082 0.9236 0.8508 0.8729 0.8925 0.8577 0.8790 0.8599 0,8810 0.8997 0.9162 0.9306 0.8621 1.0 1.1 1.2 0.8438 0.8665 0.8869 0.9049 0.9207 0.8554 0,8770 0.8962 0.9131 0.9279 0.8686 0.8849 0.9032 0.9192 0.8888 0.9066 0.9222 0.8830 0,90 15 0.9177 0.9319 0.8980 1.3 1.4 0.9099 0.9251 0.9147 0.9292 1.5 1.6 1.7 0.9332 0.9452 0.9554 0.9641 0.9713 0.9345 0.9463 0.9564 0.9649 0.9719 0.9357 0.9474 0.9573 0.9656 0.9726 0.9370 0.9484 0.9582 0.9664 0.9732 0.9382 0.9495 0.9591 0.9394 0.9505 0.9599 0.9678 0.9744 0.9406 0.9515 0.9608 0.9686 0.9750 0.9418 0.9525 0.9616 0.9429 0.9535 0.9625 0.9699 0.9761 0.9441 0.9545 0.9633 0.9706 0.9767 0.9671 0.9738 0.9693 0.9756 1.8 1.9 2.0 2.1 2.2 2.3 2.4 0.9772 0.9821 0.9861 0.9893 0,9918 0.9778 0.9826 0,9864 0.9896 0.9920 0.9783 0.9830 0.9868 0,9788 0.9834 0.9871 0.9901 0.9925 0.9793 0.9838 0.9875 0.9904 0.9927 0.9798 0.9842 0.9878 0.9803 0.9846 0.9881 0.9808 0.9850 0.9884 0,9812 0.9854 0.9887 0.9913 0.9934 0.9817 0.9857 0.9890 0.9916 0.9936 0.9898 0.9906 0.9909 0.9911 0.9922 0.9929 0.9931 0.9932 0.9945 0.9959 0.9969 2.5 2.6 2.7 2.8 0.9938 0.9953 0.9965 0.9974 0.9981 0.9940 0.9955 0.9966 0.9941 0.9956 0.9967 0.9976 0.9982 0.9943 0.9957 0.9968 0.9946 0.9960 0,9970 0.9978 0.9984 0.9948 0.9961 0.9971 0.9949 0.9962 0.9972 0.9951 0.9963 0.9973 0.9980 0.9986 0.9952 0.9964 0.9974 0.9975 0.9982 0.9977 0.9983 0.9977 0.9984 0.9979 0.9985 0.9979 0.9985 0.9981 0.9986 2.9 0.9990 0.9993 0.9995 0,9997 0,9987 0.9989 0.9992 0.9994 0,9996 0.9997 0.9989 0.9992 0.9994 3.0 3.1 0.9990 0.9993 0.9995 0.9987 0.9991 0.9993 0,9995 0.9997 0.9987 0.9991 0.9994 0.9988 0.9991 0.9994 0,9996 0.9988 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9995 0.9996 0,9997 0.9990 0.9993 0.9995 3.2 3.3 3.4 0,9996 0.9997 0.9996 0.9995 0.9997 0.9997 0.9997 0.9997 0.9998 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 Print Done
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Basics of Inferential Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS