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

0.82, 0.88, 0.88, 1.06, 1.09, 1.14, 1.30, 1.33, 1.48, 1.50, 1.57, 1.64, 1.64, 1.70, 1.76, 1.83

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

To determine the z-percentile associated with each sample observation, calculate the z-scores using the formula z = (x - μ) / σ. Then, use the standard normal distribution table or calculator to find the corresponding z-percentile for each observation.

Explanation:

To determine the z-percentile associated with each sample observation, we need to calculate the z-scores for each observation using the formula:

z = (x - μ) / σ

Where

x is the observation
μ is the mean
σ is the standard deviation.

Once we have the z-scores, we can use the standard normal distribution table or a calculator to find the corresponding percentile for each z-score.

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