Construct a normal probability plot for the following sample of observations on
ID: 3172373 • Letter: C
Question
Construct a normal probability plot for the following sample of observations on coating thickness for low-viscosity paint.
Determine the z percentile associated with each sample observation. (Round your answers to two decimal places.)
Sample observation
0.81
0.86
0.90
1.06
1.09
1.14
1.27
1.33
Z percentile
Sample observation
1.49
1.51
1.58
1.63
1.64
1.71
1.77
1.83
Z percentile
Sample observation
0.81
0.86
0.90
1.06
1.09
1.14
1.27
1.33
Z percentile
Sample observation
1.49
1.51
1.58
1.63
1.64
1.71
1.77
1.83
Z percentile
Explanation / Answer
we can calculate mean(u) and SD
THEN Z VALUE AS Z= (x- u) /SD
with standard Z table we can calculate %tile
thaks
sample observation 0.81 0.86 0.90 1.06 1.09 1.14 1.27 1.33 Z Value -1.59 -1.44 -1.33 -0.86 -0.77 -0.62 -0.24 -0.06 Z percentile 5.59 7.49 9.18 19.49 22.06 26.76 40.52 47.51 mean 1.35125 Sample observation 1.49 1.51 1.58 1.63 1.64 1.71 1.77 1.83 SD 0.339978 z value 0.41 0.47 0.67 0.82 0.85 1.06 1.23 1.41 Z percentile 66.91 68.08 74.86 79.39 80.23 85.54 89.25 92.07