Make a decision. A machine used to fill a gallon-sized paint can is regulated so that the amount of paint dispensed has a mean of 128 ounces and a standard deviation of 0.2 ounces. You randomly select 40 cans and carefully measure the contents. The sample mean of the cans is 127.9 ounces. Does the machine need to be reset? Explain your reasoning and show your work. [Use algebra and Table A2]
Make a decision. A machine used to fill a gallon-sized paint can is regulated so that the amount of paint dispensed has a mean of 128 ounces and a standard deviation of 0.2 ounces. You randomly select 40 cans and carefully measure the contents. The sample mean of the cans is 127.9 ounces. Does the machine need to be reset? Explain your reasoning and show your work. [Use algebra and Table A2]
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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Make a decision. A machine used to fill a gallon-sized paint can is regulated so that the amount of paint dispensed has a mean of 128 ounces and a standard deviation of 0.2 ounces. You randomly select 40 cans and carefully measure the contents. The sample mean of the cans is 127.9 ounces.
Does the machine need to be reset? Explain your reasoning and show your work. [Use algebra and Table A2]
Transcribed Image Text:NEGATIVE z Scores
TABLE A-2 Standard Normal (z) Distribution: Cumulative Area from the LEFT
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
-3.50 and
lower
.0001
-3.4
.0003
.0003
.0003
.0003
.0003
.0003
.0003
.0003
.0003
.0002
-3.3
.0005
.0005
.0005
.0004
.0004
.0004
.0004
.0004
.0004
.0003
-3.2
.0007
.0007
.0006
.0006
.0006
.0006
.0006
.0005
.0005
.0005
-3.1
.0010
.0009
.0009
0009
.0008
.0008
.0008
.0008
.0007
.0007
-3.0
.0013
.0013
.0013
.0012
.0012
.0011
.0011
.0011
.0010
.0010
-2.9
.0019
.0018
.0018
.0017
.0016
.0016
.0015
.0015
.0014
.0014
-2.8
.0026
.0025
.0024
.0023
.0023
.0022
.0021
.0021
.0020
.0019
-2.7
.0035
.0034
.0033
.0032
.0031
.0030
.0029
.0028
.0027
.0026
-2.6
.0047
.0045
.0044
.0043
.0041
.0040
.0039
.0038
.0037
.0036
-2.5
.0062
.0060
.0059
.0057
0055
.0054
.0052
.0051
.0049
.0048
-2.4
.0082
.0080
.0078
.0075
.0073
.0071
.0069
.0068
.0066
.0064
-2.3
.0107
.0104
.0102
,0099
.0096
.0094
.0091
.0089
.0087
.0084
-2.2
.0139
.0136
0132
.0129
0125
.0122
.0119
.0116
.0113
.0110
-2.1
.0179
.0174
.0170
.0166
.0162
.0158
.0154
.0150
.0146
.0143
-2.0
.0228
.0222
.0217
.0212
.0207
.0202
.0197
.0192
.0188
.0183
-1.9
.0287
.0281
.0274
.0268
.0262
.0256
.0250
.0244
.0239
.0233
-1.8
.0359
.0351
.0344
.0336
.0329
.0322
.0314
.0307
.0301
.0294
-1.7
.0446
.0436
.0427
.0418
.0409
.0401
.0392
.0384
.0375
.0367
-1.6
.0548
.0537
.0526
.0516
.0505
.0495
.0485
.0475
.0465
.0455
-1.5
.0668
.0655
.0643
.0630
.0618
.0606
.0594
.0582
.0571
.0559
-1.4
.0808
.0793
.0778
.0764
.0749
.0735
.0721
.0708
.0694
.0681
-1.3
.0968
.0951
.0934
.0918
.0901
.0885
.0869
.0853
.0838
.0823
-1.2
.1151
.1131
.1112
.1093
.1075
.1056
.1038
.1020
.1003
.0985
-1.1
.1357
.1335
.1314
.1292
.1271
.1251
.1230
.1210
.1190
.1170
-1.0
.1587
.1562
.1539
.1515
.1492
.1469
1446
.1423
.1401
.1379
-0.9
1841
.1814
.1788
.1762
.1736
.1711
.1685
.1660
.1635
1611
-0.8
.2119
.2090
.2061
.2033
.2005
.1977
.1949
.1922
.1894
.1867
-0.7
.2420
.2389
.2358
.2327
.2296
.2266
.2236
.2206
.2177
.2148
-0.6
.2743
2709
.2676
.2643
.2611
2578
.2546
.2514
.2483
.2451
-0.5
.3085
.3050
.3015
.2981
2946
2912
.2877
.2843
.2810
.2776
-0.4
3446
.3409
.3372
.3336
.3300
3264
3228
3192
.3156
3121
-0.3
.3821
3783
.3745
.3707
.3669
.3632
.3594
.3557
3520
3483
-0.2
.4207
.4168
.4129
4090
.4052
.4013
.3974
.3936
.3897
.3859
-0.1
.4602
.4562
.4522
.4483
.4443
4404
.4364
.4325
.4286
.4247
-0.0
.5000
.4960
.4920
.4880
4840
4801
4761
.4721
4681
4641
NOTE: For values of z below –3.49, use 0.0001 for the area.
(continued)
*Use these common values that result from interpolation:
z Score
Area
-1.645
0.0500
-2.575
0.0050
N
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