Question

Construct a normal probability plot for the following sample of observations on coating thickness for low-viscosity paint. 0.83 0.86 0.86 1.02 1.08 1.12 1.29 1.31 1.46 1.51 1.60 1.63 1.67 1.69 1.74 1.84 Determine the z percentile associated with each sample observation. (Round your answers to two decimal places.)

dont just calculate , please show step by step

Answer 1

Suppose, random variable X denotes coating thickness for low-viscosity paint.

From sample data, we obtain mean and standard deviations as follows.

Sample size

Sample mean is given by

Sample standard deviation is given by

Corresponding to each sample value, we calculate

• z-score using the relation
• z-percentile using the R-code '100*pnorm(z)'

We now calculate z-score and z-percentile for each sample value as follows.