a. Data is not normal as p value is < 0.05, thus we reject
null hypothesis and data fails normality test.
![Probability Plot of Deflections Normal 99 Mean 35.84 StDev 22.45 N 50 95 AD 0.912 90 P-Value 0.019 80 70 60 50 40 30 20 10 1](//img.homeworklib.com/images/102c1d43-3e99-43bd-b6fd-c0fce898bb55.png?x-oss-process=image/resize,w_560)
b.
TEST 1. One point more than 3.00 standard deviations from center
line.
Test Failed at points: 50
TEST 2. 9 points in a row on same side of center line.
Test Failed at points: 25, 26, 27, 28, 29
Pt. 50 have some special cause.
pt. 25,26,27,28,29 failed test 2 means - also a special cause
and deflections of beams for
![I-MR Chart of Deflections 100 UCL=100.0 BAw 50 X -35.8 0 LCL-28.3 46 1 6 11 16 21 26 31 36 41 Observation 80 UCL-78.81 40 MR-](//img.homeworklib.com/images/8b9c8ac5-a974-43fe-a919-93fdbe5a1b92.png?x-oss-process=image/resize,w_560)
c. Yes, both data for sqrt & log are normal as for both of
them p value is > 0 .05
![Probability Plot of Sqrt Normal Mean 5.698 StDey 1.857 N 50 95 AD 0.268 90 P-Value 0.671 80 70 60 50 40 30 20 10 5 2 4 5 6 7](//img.homeworklib.com/images/b9d5ae7d-d14d-4a09-b991-363b688872e0.png?x-oss-process=image/resize,w_560)
![Probability Plot of Log Normal 99 3.368 Mean StDey 0.6929 50 95 AD 0.561 90 P-Value 0.139 80 70 60 50 40 30 20 10 5 2,0 2,5 3](//img.homeworklib.com/images/8b1dc20e-e48d-4c86-a671-a8e3fd030d2e.png?x-oss-process=image/resize,w_560)
d.
TEST 2. 9 points in a row on same side of center line.
Test Failed at points: 24, 25, 26, 27, 28, 29
![I-MR Chart of Sqrt UCL 11.29 10.0 7.5 X-5.70 5.0 2.5 LCL-0.10 0.0 46 1 6 11 21 26 31 36 41 Observation UCL-6.876 60 4.5 3.0 M](//img.homeworklib.com/images/d2064e9c-b829-4b44-9adb-fc348b9296f0.png?x-oss-process=image/resize,w_560)
TEST 2. 9 points in a row on same side of center line.
Test Failed at points: 24, 25, 26
![I-MR Chart of Log UCL-5474 |Artunatanpdia| X-3.368 3 2 LCL-1.263 16 46 1 6 11 26 31 36 Observation UCL-2.587 2.4 1.8 1.2 MR-0](//img.homeworklib.com/images/9aa469a3-b273-4ce9-84ea-7c3cb5589200.png?x-oss-process=image/resize,w_560)
Probability Plot of Deflections Normal 99 Mean 35.84 StDev 22.45 N 50 95 AD 0.912 90 P-Value 0.019 80 70 60 50 40 30 20 10 1 0 25 50 75 100 Deflections Percent 2un
I-MR Chart of Deflections 100 UCL=100.0 BAw 50 X -35.8 0 LCL-28.3 46 1 6 11 16 21 26 31 36 41 Observation 80 UCL-78.81 40 MR-24.12 20 0 LCL-0 46 6 11 16 21 26 31 36 41 Observation anleAlenpipu
Probability Plot of Sqrt Normal Mean 5.698 StDey 1.857 N 50 95 AD 0.268 90 P-Value 0.671 80 70 60 50 40 30 20 10 5 2 4 5 6 7 8 10 Sqrt LO 99 Percent
Probability Plot of Log Normal 99 3.368 Mean StDey 0.6929 50 95 AD 0.561 90 P-Value 0.139 80 70 60 50 40 30 20 10 5 2,0 2,5 3.0 3,5 4,0 4,5 5.0 Log Percent
I-MR Chart of Sqrt UCL 11.29 10.0 7.5 X-5.70 5.0 2.5 LCL-0.10 0.0 46 1 6 11 21 26 31 36 41 Observation UCL-6.876 60 4.5 3.0 MR-2.104 1.5 0.0 LCL 0 46 1 11 16 21 26 31 36 41 Observation 16 NO anleAl enpipu
I-MR Chart of Log UCL-5474 |Artunatanpdia| X-3.368 3 2 LCL-1.263 16 46 1 6 11 26 31 36 Observation UCL-2.587 2.4 1.8 1.2 MR-0.792 0.6 0.0 LCL 0 46 6 11 16 21 26 31 36 41 Observation 41 21 anjeAjenpiNpu Moving Range