ENGM510 Effat University Statistics with Design Expert Application Questions i will upload my assignment and I need you to solve it for me with design expert application , and make sure to insert a picture from itthe results, and make a conclusion for each question Advanced Engineering Statistics ENGM 510
Computer Project
Fall 2019
Due to 1/12/2019
Student Name:
Student ID:
Q1. (15 Points)
A Harris corporation / University of Florida study was undertaken to determine whether
a manufacturing process performed at a remote location can be established locally. Test
devices were set up at both the old and new locations and voltage readings on the
process were obtained. The table below contains voltage readings from the two
locations.
Old Location
New Location
14.97
15.18
14.76
13.785
15.015
13.23
15.39
15.075
15.225
14.445
13.23
12.975
15.075
14.7
15.03
15.15
14.145
12.765
15.435
15.225
14.7
14.55
15.045
13.71
15.045
15
14.595
15.135
14.775
14.625
15.825
14.325
14.97
15.075
13.245
14.025
15.39
14.925
15.18
14.085
14.31
14.955
14.55
14.235
14.22
14.04
14.805
14.76
14.055
14.46
13.02
1. Check if the data of two locations are normally distributed.
2. Construct a 98% confidence interval for estimating the ratio between the
two population variances. Is it reasonable to assume equal variances?
3. Based on your conclusion above, is there a significant difference between the
two population averages? Use α= 0.03.
Advanced Engineering Statistics ENGM 510
Computer Project
Fall 2019
Due to 1/12/2019
Student Name:
Student ID:
Q2.
(5 Points)
An industrial engineer is conducting an experiment on eye focus time. He is interested in
the effect of the distance of the object from the eye on the focus time. Four different
distances are of interest. He has five subjects available for the experiment. Because there
may be differences among individuals, he decides to conduct the experiment in a
randomized block design. The data obtained follow. Analyze the data from this
experiment (use α= 0.05) and draw appropriate conclusions.
Distance (ft)
4
6
8
10
1
10
7
5
6
2
6
6
3
4
Subject
3
6
6
3
4
4
6
1
2
2
5
6
6
5
3
Q3.
(10 Points)
An article in the Fire Safety Journal (“The Effect of Nozzle Design on the Stability and
Performance of turbulent Water Jets,” Vol. 4, August 1981) describes an experiment in
which a shape factor was determined for several different nozzle designs at six levels of
jet efflux velocity. Interest focused on potential differences between nozzle designs, with
velocity considered as a nuisance variable. The data are shown below:
Jet Efflux Velocity (m/s)
Nozzle
Design
1
2
3
4
5
11.73
0.78
0.85
0.93
1.14
0.97
14.37
0.8
0.85
0.92
0.97
0.86
16.59
0.81
0.92
0.95
0.98
0.78
20.43
0.75
0.86
0.89
0.88
0.76
23.46
0.77
0.81
0.89
0.86
0.76
28.74
0.78
0.83
0.83
0.83
0.75
(a) Does nozzle design affect the shape factor? Compare the nozzles with a scatter
plot and with an analysis of variance, using α 0.05.
(b) Analyze the residuals from this experiment.
(c) Which nozzle designs are different with respect to shape factor?
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