Given the data below, a lower specification of 78.2, and an upper specification of 98.9, what...

Given the data below, a lower specification of 78.2, and an upper specification of 98.9, what is the long term process performance (Ppk)?

Data
101.4791
94.02297
95.41277
106.7218
90.35416
86.9332
94.87044
95.91265
93.98042
108.558
86.17921
85.01441
96.14778
92.59247
92.49536
87.4595
104.3463
90.57274
99.38992
80.61536
82.31772
97.05331
87.64293
103.3648
98.09292
87.72921
110.1765
86.76847
87.22422
94.88148
86.01183
91.43283
104.0907
97.77132
98.69138
95.55565
106.2402
95.96255
88.05735
100.2796
99.00995
86.18458
95.41366
99.32314
95.75733
88.82675
93.39986
98.34077
94.72198
99.14256
92.37767
94.94969
89.63531
87.56148
88.02731
97.57498
98.4039
98.18642
102.5057
88.69717
90.61504
87.80989
102.4578
92.72643
96.0759
92.81471
86.44152
101.1881
92.64199
84.96657
96.75944
94.76492
86.555
91.5101
97.21423
92.36803
90.68739
88.16595
94.48869
87.61221
101.9311
98.71314
109.3335
97.20268
88.36405
90.59582
89.18839
95.28564
99.59782
92.92415
96.54786
96.07842
93.63263
107.0558
93.20436

Expert Solution

necessary calculation:-

x	(x- x bar)^2
101.4791	50.11932
94.02297	0.14185
95.41277	1.026513
106.7218	151.8366
90.35416	16.36558
86.9332	55.74713
94.87044	0.22169
95.91265	2.28932
93.98042	0.175712
108.558	200.4603
86.17921	67.57481
85.01441	88.08179
96.14778	3.056133
92.59247	3.265719
92.49536	3.62613
87.4595	48.16499
104.3463	98.93684
90.57274	14.64486
99.38992	24.90329
80.61536	190.0053
82.31772	145.9718
97.05331	7.042177
87.64293	45.65259
103.3648	80.37481
98.09292	13.64061
87.72921	44.4941
110.1765	248.9106
86.76847	58.23415
87.22422	51.48608
94.88148	0.232208
86.01183	70.35469
91.43283	8.801724
104.0907	93.91742
97.77132	11.3685
98.69138	18.41938
95.55565	1.336452
106.2402	140.1998
95.96255	2.442813
88.05735	40.22414
100.2796	34.5744
99.00995	21.25533
86.18458	67.48655
95.41366	1.028318
99.32314	24.24125
95.75733	1.843431
88.82675	31.05666
93.39986	0.99948
98.34077	15.53282
94.72198	0.103929
99.14256	22.49567
92.37767	4.088201
94.94969	0.302599
89.63531	22.69846
87.56148	46.75989
88.02731	40.60608
97.57498	10.08304
98.4039	16.03442
98.18642	14.34001
102.5057	65.70886
88.69717	32.51771
90.61504	14.32289
87.80989	43.42428
102.4578	64.93459
92.72643	2.799498
96.0759	2.809982
92.81471	2.511876
86.44152	63.33104
101.1881	46.08373
92.64199	3.089193
84.96657	88.98205
96.75944	5.568845
94.76492	0.133459
86.555	61.53775
91.5101	8.34921
97.21423	7.922142
92.36803	4.127277
90.68739	13.7805
88.16595	38.85839
94.48869	0.007937
87.61221	46.06866
101.9311	56.72349
98.71314	18.60663
109.3335	223.0214
97.20268	7.857257
88.36405	36.42786
90.59582	14.46874
89.18839	27.15671
95.28564	0.785067
99.59782	27.02149
92.92415	2.176953
96.54786	4.615021
96.07842	2.818437
93.63263	0.588243
107.0558	160.1794
93.20436	1.428599
sum=8967.963	sum=3680.02

given that USL= 98.9 , LSL= 78.2

so our

for calculating Ppu:-

for calculating Ppl:-

we know that Ppk = min( Ppu , Ppl) = min(0.24 , 0.86) = 0.24

so, the long term process performance (Ppk) = 0.24 (rounded off to 2 decimal places)

*** if you have any doubt regarding the problem please write it in the comment section.if you are satisfied please give me a LIKE if possible..

orchestra answered 1 year ago

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