Question

Construct a normal probability plot for the following sample of observations on coating thickness for low-viscosity paint.

0.84	0.89	0.90	1.02	1.08	1.14	1.28	1.31
1.47	1.47	1.60	1.62	1.66	1.73	1.75	1.81

Determine the z percentile associated with each sample observation. (Round your answers to two decimal places.)

Sample observation	0.84	0.89	0.90	1.02	1.08	1.14	1.28	1.31
z percentile
Sample observation	1.47	1.47	1.60	1.62	1.66	1.73	1.75	1.81
z percentile

Answer 1

from above

		(i-0.5)/n	y ordinalte	from excel
S.no	x	percentile	z score	formula:
1	0.84	0.0313	-1.86	normsinv(0.03125)
2	0.89	0.0938	-1.32	normsinv(0.09375)
3	0.9	0.1563	-1.01	normsinv(0.15625)
4	1.02	0.2188	-0.78	normsinv(0.21875)
5	1.08	0.2813	-0.58	normsinv(0.28125)
6	1.14	0.3438	-0.40	normsinv(0.34375)
7	1.28	0.4063	-0.24	normsinv(0.40625)
8	1.31	0.4688	-0.08	normsinv(0.46875)
9	1.47	0.5313	0.08	normsinv(0.53125)
10	1.47	0.5938	0.24	normsinv(0.59375)
11	1.6	0.6563	0.40	normsinv(0.65625)
12	1.62	0.7188	0.58	normsinv(0.71875)
13	1.66	0.7813	0.78	normsinv(0.78125)
14	1.73	0.8438	1.01	normsinv(0.84375)
15	1.75	0.9063	1.32	normsinv(0.90625)
16	1.81	0.9688	1.86	normsinv(0.96875)

observation	0.84	0.89	0.9	1.02	1.08	1.14	1.28	1.31
z percentile	-1.86	-1.32	-1.01	-0.78	-0.58	-0.40	-0.24	-0.08
observation	1.49	1.5	1.59	1.61	1.67	1.69	1.78	1.85
z percentile	1.47	1.47	1.60	1.62	1.66	1.73	1.75	1.81