Question

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

0.82	0.87	0.90	1.03	1.08	1.13	1.29	1.33
1.46	1.50	1.58	1.62	1.66	1.72	1.76	1.85

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

Sample observation	0.82	0.87	0.90	1.03	1.08	1.13	1.29	1.33
z percentile
Sample observation	1.46	1.50	1.58	1.62	1.66	1.72	1.76	1.85
z percentile

Answer 1

The given sample as

0.82	0.87	0.90	1.03	1.08	1.13	1.29	1.33
1.46	1.50	1.58	1.62	1.66	1.72	1.76	1.85

The Z score calculated as

S= Sample standard deviation=0.3418

X= variables

X-bar= Sample mean =1.35 calculated as

n=12

The Z percentile associated with observations are

Sample Observation	0.82	0.87	0.9	1.03	1.08	1.13	1.29	1.33	1.46	1.5	1.58	1.62	1.66	1.72	1.76	1.85
Z score	-1.55035	-1.40409	-1.31634	-0.93606	-0.7898	-0.64354	-0.17551	-0.0585	0.321771	0.438779	0.672794	0.789802	0.906809	1.082321	1.199328	1.462596
Z percentile	0.060571.	0.080159.	0.094087	0.174637	0.215056	0.260112	0.430147	0.476476	0.62616	0.669561	0.749431	0.785178	0.817744	0.86044	0.884794	0.928198