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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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Topic Video
Question
Please answer and label each part
![1. Chocolate bars are manufactured on two production lines "A"
and "B" at a rate of 1000 per hour in a 24-hour, 7 day per week
operation. The product must achieve a total minimum weight of
95 g and the weights measured from two sample batches "A"
and "B" each of 10 bars were as follows:
A (g)
B(g)
97.04
97.19
97.66
97.10
96.75
97.60
97.13
97.05
97.76
97.85
97.75
97.15
97.65
96.50
96.40
97.45
97.63
97.48
97.32
97.64
Determine:
(a) The mean value and standard deviation of each sample
and explain why 95g cannot be achieved exactly
(b) The probability that the weight of bars can be controlled to
98.0g with 99 % confidence. State the preferred line and
explain your answer. [use statistical table provided]
(c) Using the mean weight, state which production line will be
more efficient and quantify the amount of chocolate [kg]
saved by using this route over a one-week period.
[Show all working to support your answers]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa3e605ed-e317-491a-ad79-fdcd0c75cf0e%2F7c817a4c-f3d3-49d9-ac16-1bdca961ebd3%2F4n20qe2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Chocolate bars are manufactured on two production lines "A"
and "B" at a rate of 1000 per hour in a 24-hour, 7 day per week
operation. The product must achieve a total minimum weight of
95 g and the weights measured from two sample batches "A"
and "B" each of 10 bars were as follows:
A (g)
B(g)
97.04
97.19
97.66
97.10
96.75
97.60
97.13
97.05
97.76
97.85
97.75
97.15
97.65
96.50
96.40
97.45
97.63
97.48
97.32
97.64
Determine:
(a) The mean value and standard deviation of each sample
and explain why 95g cannot be achieved exactly
(b) The probability that the weight of bars can be controlled to
98.0g with 99 % confidence. State the preferred line and
explain your answer. [use statistical table provided]
(c) Using the mean weight, state which production line will be
more efficient and quantify the amount of chocolate [kg]
saved by using this route over a one-week period.
[Show all working to support your answers]
![0.0019
0.0384
0 0051
|0.0094
Help
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.00
0.01
0.02
0.4641
0.4247
0.3859
0.3483
0.3121
0.2776
0.2451
0.2148
0.1867
0.1611
0.1379
0.1170
0.0985
0.0823
0.0681
0.0559
0.0455
0.0367
0.0294
0.0233
0.0183
0.0143
0.0110
0.0084
0.0064
0.0043
0.0036
0.0026
0.0019
0.0014
0.00100
0.00071
0.00050
0.00035
0.00024
0.00017
0.4761
0.4364
0.3974
0.3594
0.3228
02877
0.2546
0,2236
0.1949
0.4721
0.4325
0.3936
0.3557
0.3192
0.4681
0.4286
0.3897
0.3520
0.3156
0.2810
0.2483
0.2177
0.1894
0.1635
0.1401
0.1190
0.1003
0.0838
0.0694
0.0571
0.0465
0.0375
0.0301
0.0239
0.0188
0.0146
0.0113
0.008
0.4840
0.4443
0.4052
0.3669
0.3300
0.4801
0.4404
0.4013
0.3632
0.3264
0.2912
0.4880
0.4483
0.4090
0.3707
0.3336
0.2981
0.2643
0.2327
0.2033
0.1762
0.1515
0.1292
0.1093
0.0918
0.0764
0.0630
0.0516
0.0418
0.0336
0.0268
0.0212
0.0166
0.0129
0.0099
0.4920
0.4522
0.4129
0.3745
0.3372
0.5000
0.4602
0.4207
0.3821
0.3346
0.3085
0.2743
0.2420
0.2119
0.1841
0.1587
0.4960
0.4562
0.4168
0.3783
0.3409
0.3050
0.2709
0.2389
0.2090
0.1814
0.1562
0.1335
0.1131
0.0951
0.0793
0.0655
0.0537
0.0
0.1
0.2
0.3
0.4
0.5
0.2843
0.2514
0.2207
0.1922
0.1660
0.3015
0.2676
0.2946
0.2611
0.2297
0.2005
0.1736
0.1492
0.1271
0.1075
0.0901
0.0749
0.0618
0.0505
0.0409
0.0329
0.0262
0.0207
0.0162
0.0125
0.0096
0.0073
0.0055
0.0041
0.0031
0.0023
0.0016
0.00118
0.00085
0.00060
0.00042
0.00029
0.00020
0.2578
0.2266
0.1977
0.6
0.7
0.8
0.9
1.0
1.1
0.2358
0.2061
0.1788
0.1539
0.1314
0.1112
0.0934
0.0778
0.0643
0.1711
0.1469
0.1251
0.1057
0.0883
0.0735
0.0606
0.0495
0.1685
0.1446
0.1230
0.1038
0.0869
0.0721
0.0594
0.0485
0.0392
0.1423
0.1210
0.1020
0.0853
0.0708
0.0582
0.0475
0.0384
0.0307
0.0244
0,0192
0.0150
0.0116
0.1357
0.1151
0.0968
0.0808
0.0668
0.0548
0.0446
0.0359
0.0287
0.0228
0.0179
0.0139
0.0107
0.0082
0.0062
0.0047
0.0035
0.0026
0.0019
0.00135
0.00097
0.00069
0.00048
0.00034
0.00023
12
| 1.3
14
15
0.0526
0.0520
0.0427
1.6
1.7
1.8
19
2.0
0.0436
0.0351
0.0281
0.0222
0.0174
0.0136
0.0104
0.0080
0.0060
0.0401
0.0322
0.0256
0.0202
0.0158
0.0122
0.0094
0.0071
0.0054
0.0040
0.0030
0.0022
0.0016
0.00114
0.00082
0.00058
0.00040
0.00028
0.00019
0.0344
0.0274
0.0217
0.0170
0.0132
00102
0.0314
0.0250
0.0197
0.0154
2.1
22
23
0.0102
0.0078
0.0059
0.0044
0.0033
0.0024
0.0017
0.00126
0.00090
0.00064
0.00045
0.00031
0.00022
0.0119
0.0091
0.0069
0.0052
0.0039
0.0029
0.0021
0.0015
0.00111
0.00079
0.00056
0.00039
0.00027
0.00019
0.0089
0.0068
0.0051
0.0038
0.0028
0.0021
0.0015
0.00107
0.00076
0.00054
0.00038
0.00026
0.00018
7
0.0066
2.4
25
2.6
2.7
2.8
2.9
3.0
3.1
3.2
33
3.4
3.5
0.0075
0.0057
0.0043
0.0032
0.0023
0.0017
0.00122
0.00087
0.00062
0.00043
0.00030
0.00021
0.0045
0.004
0.0037
0.005
0.0027
0.0045
0.0034
0.0025
0.0018
0.00131
0.00094
0.00066
0.00047
0.00033
0.00022
0.0020
0.0014
0.00104
0.00074
0.00052
0.00036
0.00025
0.00017
Statistical Table
Areas undera normal curve
Probability of a value being greater than [+X] or less than [-X]
Values in left hand column can be used for +/-Z
ZL
근u.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa3e605ed-e317-491a-ad79-fdcd0c75cf0e%2F7c817a4c-f3d3-49d9-ac16-1bdca961ebd3%2Fhripzlv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:0.0019
0.0384
0 0051
|0.0094
Help
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.00
0.01
0.02
0.4641
0.4247
0.3859
0.3483
0.3121
0.2776
0.2451
0.2148
0.1867
0.1611
0.1379
0.1170
0.0985
0.0823
0.0681
0.0559
0.0455
0.0367
0.0294
0.0233
0.0183
0.0143
0.0110
0.0084
0.0064
0.0043
0.0036
0.0026
0.0019
0.0014
0.00100
0.00071
0.00050
0.00035
0.00024
0.00017
0.4761
0.4364
0.3974
0.3594
0.3228
02877
0.2546
0,2236
0.1949
0.4721
0.4325
0.3936
0.3557
0.3192
0.4681
0.4286
0.3897
0.3520
0.3156
0.2810
0.2483
0.2177
0.1894
0.1635
0.1401
0.1190
0.1003
0.0838
0.0694
0.0571
0.0465
0.0375
0.0301
0.0239
0.0188
0.0146
0.0113
0.008
0.4840
0.4443
0.4052
0.3669
0.3300
0.4801
0.4404
0.4013
0.3632
0.3264
0.2912
0.4880
0.4483
0.4090
0.3707
0.3336
0.2981
0.2643
0.2327
0.2033
0.1762
0.1515
0.1292
0.1093
0.0918
0.0764
0.0630
0.0516
0.0418
0.0336
0.0268
0.0212
0.0166
0.0129
0.0099
0.4920
0.4522
0.4129
0.3745
0.3372
0.5000
0.4602
0.4207
0.3821
0.3346
0.3085
0.2743
0.2420
0.2119
0.1841
0.1587
0.4960
0.4562
0.4168
0.3783
0.3409
0.3050
0.2709
0.2389
0.2090
0.1814
0.1562
0.1335
0.1131
0.0951
0.0793
0.0655
0.0537
0.0
0.1
0.2
0.3
0.4
0.5
0.2843
0.2514
0.2207
0.1922
0.1660
0.3015
0.2676
0.2946
0.2611
0.2297
0.2005
0.1736
0.1492
0.1271
0.1075
0.0901
0.0749
0.0618
0.0505
0.0409
0.0329
0.0262
0.0207
0.0162
0.0125
0.0096
0.0073
0.0055
0.0041
0.0031
0.0023
0.0016
0.00118
0.00085
0.00060
0.00042
0.00029
0.00020
0.2578
0.2266
0.1977
0.6
0.7
0.8
0.9
1.0
1.1
0.2358
0.2061
0.1788
0.1539
0.1314
0.1112
0.0934
0.0778
0.0643
0.1711
0.1469
0.1251
0.1057
0.0883
0.0735
0.0606
0.0495
0.1685
0.1446
0.1230
0.1038
0.0869
0.0721
0.0594
0.0485
0.0392
0.1423
0.1210
0.1020
0.0853
0.0708
0.0582
0.0475
0.0384
0.0307
0.0244
0,0192
0.0150
0.0116
0.1357
0.1151
0.0968
0.0808
0.0668
0.0548
0.0446
0.0359
0.0287
0.0228
0.0179
0.0139
0.0107
0.0082
0.0062
0.0047
0.0035
0.0026
0.0019
0.00135
0.00097
0.00069
0.00048
0.00034
0.00023
12
| 1.3
14
15
0.0526
0.0520
0.0427
1.6
1.7
1.8
19
2.0
0.0436
0.0351
0.0281
0.0222
0.0174
0.0136
0.0104
0.0080
0.0060
0.0401
0.0322
0.0256
0.0202
0.0158
0.0122
0.0094
0.0071
0.0054
0.0040
0.0030
0.0022
0.0016
0.00114
0.00082
0.00058
0.00040
0.00028
0.00019
0.0344
0.0274
0.0217
0.0170
0.0132
00102
0.0314
0.0250
0.0197
0.0154
2.1
22
23
0.0102
0.0078
0.0059
0.0044
0.0033
0.0024
0.0017
0.00126
0.00090
0.00064
0.00045
0.00031
0.00022
0.0119
0.0091
0.0069
0.0052
0.0039
0.0029
0.0021
0.0015
0.00111
0.00079
0.00056
0.00039
0.00027
0.00019
0.0089
0.0068
0.0051
0.0038
0.0028
0.0021
0.0015
0.00107
0.00076
0.00054
0.00038
0.00026
0.00018
7
0.0066
2.4
25
2.6
2.7
2.8
2.9
3.0
3.1
3.2
33
3.4
3.5
0.0075
0.0057
0.0043
0.0032
0.0023
0.0017
0.00122
0.00087
0.00062
0.00043
0.00030
0.00021
0.0045
0.004
0.0037
0.005
0.0027
0.0045
0.0034
0.0025
0.0018
0.00131
0.00094
0.00066
0.00047
0.00033
0.00022
0.0020
0.0014
0.00104
0.00074
0.00052
0.00036
0.00025
0.00017
Statistical Table
Areas undera normal curve
Probability of a value being greater than [+X] or less than [-X]
Values in left hand column can be used for +/-Z
ZL
근u.
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