Government reg Utput of ess must not exceed dictate that for any production proce Involving a certain toxic che parts per million (ppm) of the chemical. Por manufacturer 25 times randomly and the sample average x was 7666 ppm. It is known from historical data that the standard deviation is 130 ppm. Complete parts (a) and (b) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) What is the probability that the sample average in this experiment would exceed the government limit if the population mean is equal to the limit? Use the Central Limit Theorem. The probability is ular process of concern, the water sample was collected (Round to four decimal places as needed.) (b) is an observed x = 7666 in this experiment firm evidence that the population mean for the process exceeds the government limit? Answer your question by computing P(X27666 | μ=7640). Assume that the distribution of the concentration is normal. evidence that the population mean for the process exceeds the government limit. Since P (X≥ 7666 | μ=7640) = ☐ | negligible, the observed x (Round to four decimal places as needed.) is not is
Government reg Utput of ess must not exceed dictate that for any production proce Involving a certain toxic che parts per million (ppm) of the chemical. Por manufacturer 25 times randomly and the sample average x was 7666 ppm. It is known from historical data that the standard deviation is 130 ppm. Complete parts (a) and (b) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) What is the probability that the sample average in this experiment would exceed the government limit if the population mean is equal to the limit? Use the Central Limit Theorem. The probability is ular process of concern, the water sample was collected (Round to four decimal places as needed.) (b) is an observed x = 7666 in this experiment firm evidence that the population mean for the process exceeds the government limit? Answer your question by computing P(X27666 | μ=7640). Assume that the distribution of the concentration is normal. evidence that the population mean for the process exceeds the government limit. Since P (X≥ 7666 | μ=7640) = ☐ | negligible, the observed x (Round to four decimal places as needed.) is not is
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
I need help with the question attached please

Transcribed Image Text:Government regulations dictate that for any production process involving a certain toxic chemical, the water in the output of the process must not exceed 7640 parts per million (ppm) of the chemical. For a particular process of concern, the water sample was collected by a
manufacturer 25 times randomly and the sample average x was 7666 ppm. It is known from historical data that the standard deviation is 130 ppm. Complete parts (a) and (b) below.
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
(a) What is the probability that the sample average in this experiment would exceed the government limit if the population mean is equal to the limit? Use the Central Limit Theorem.
The probability is
(Round to four decimal places as needed.)
(b) Is an observed x = 7666 in this experiment firm evidence that the population mean for the process exceeds the government limit? Answer your question by computing P(X≥7666 | μ=7640). Assume that the distribution of the concentration is normal.
Since P(X≥7666 | μ=7640) =
negligible, the observed x
(Round to four decimal places as needed.)
evidence that the population mean for the process exceeds the government limit.
is not
is

Transcribed Image Text:الها
Areas under the Normal Curve
> >
2
.00
Areas under the Normal Curve
.01
.02
.03
.04
0.0129
0.4443
.01
.02
.04
z
.00
.01
.02
.03
.04
.05
.06
.07
-3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003
-3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004
-3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005
0.0010 0.0009
-3.1
0.0009 0.0009 0.0008 0.0008 0.0008
-3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011
-2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015
-2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021
-2.7 0.0035 0.0034 0.0033 0.0032 0.0031
0.0030 0.0029 0.0028 0.0027 0.0026 -2.7
-2.6
0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 -2.6
-2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 -2.5
-2.4 0.0082
0.0078 0.0075
0.0080
0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -2.4
-2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 -2.3
-2.2 0.0139 0.0136 0.0132
0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 -2.2
-2.1 0.0179 0.0174 0.0170 0.0166
0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 -2.1
-2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 -2.0
-1.9
0.0281
0.0287
0.0268
0.0274
0.0262 0.0256 0.0250
0.0239
0.0244
0.0233 -1.9
-1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.8
-1.7
0.0436 0.0427 0.0418
0.0446
0.0409 0.0401
0.0384 0.0375 0.0367
0.0392
-1.7
-1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 -1.6
-1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 -1.5
-1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 -1.4
-1.3 0.0968 0.0951
0.0918 0.0901 0.0885
0.0934
0.0869 0.0853 0.0838 0.0823 -1.3
-1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985
-1.2
-1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210
0.1190
-1.1
0.1170
-1.0
0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 -1.0
0.1841
0.1788
0.1762
0.1814
0.1736 0.1711 0.1685 0.1660
-0.9
0.1611 -0.9
0.1635
-0.8 0.2119
0.2061 0.2033 0.2005
0.2090
0.1977 0.1949 0.1922 0.1894
-0.8
0.1867
-0.7 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 -0.7
-0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451 -0.6
-0.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 -0.5
-0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 -0.4
-0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 -0.3
-0.2 0.4207
0.4090
0.4013
0.3974
0.4168
0.3897
0.4129
0.3859 -0.2
0.4052
0.3936
0.4602
0.4483
-0.1
0.4562
0.4364
0.4522
0.4325 0.4286
0.4404
-0.1
0.4247
-0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641 -0.0
.00
.03
.05
.06
.07
.08
.08
.09
2
0.0003 0.0002 -3.4
0.0004 0.0003 -3.3
0.0005 0.0005 -3.2
0.0008 0.0007 0.0007 -3.1
0.0011 0.0010 0.0010 -3.0
0.0015 0.0014
0.3
0.0021 0.0020
0.0014 -2.9
0.0019 -2.8
1.6
1.7
1.8
1.9
2.1
1
+
2.9 0.9981
3.0
3.1
A
3.2
3.3
A 3.4
.07
0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319
0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714
0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103
0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.3
0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.4
0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.5
0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.6
0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.7
0.8 0.7881
0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.8
0.9 0.8159
0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 0.9
1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 1.0
0.8643
1.1
0.8665 0.8686 0.8708
0.8749
0.8729
0.8770 0.8790 0.8810
1.1
0.8830
1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.2
1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.3
1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.4
1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.5
0.9463
0.9452
0.9474 0.9484 0.9495 0.9505 0.9515
1.6
0.9525 0.9535 0.9545
0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.7
0.9649 0.9656
0.9641
0.9664 0.9671
0.9693
0.9678 0.9686
0.9706
0.9699
1.8
0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 1.9
2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 2.0
0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 2.1
2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 2.2
2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911
0.9913 0.9916 2.3
2.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 2.4
2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 2.5
2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961
0.9963 0.9964
0.9962
2.6
0.9965
2.7
0.9966 0.9967 0.9968
0.9970
0.9969
0.9971 0.9972 0.9973 0.9974 2.7
回 2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.8
0.9982 0.9982 0.9983 0.9984 0.9984 0.9985
0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989
0.9990 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992
0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 3.2
.05
.06
.08
.09
0.5359 0.0
0.5753 0.1
0.6141 0.2
0.9985 0.9986 0.9986 2.9
0.9989 0.9990 0.9990 3.0
0.9992 0.9993 0.9993 3.1
2
0.9995 0.9995
0.9997 0.9997
.00
.01
0.9995 0.9996
0.9997 0.9997
.02
.03
0.9996
0.9996
0.9997
0.9997
0.9996
0.9997
.04
.05
.06
0.9996 0.9996
0.9997 0.9997
.07
.08
0.9997
0.9998
.09
3.3
3.4
.09
2
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