P1. Consider the following sample of observations on coating thickness for low viscosity Paint: .83 .88 .88 1.04 1.09 1.12 1.29 1.31 1.48 1.49 1.59 1.62 1.65 1.71 1.76 1.83 1. Calculate a point estimate of the mean value of coating hickness, and state which estimator you used. Calculate a point estimate of the median o hickness distribution, and state which estimator Jou used

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P1. Consider the following sample of observations on coating thickness for low viscosity
Paint: .83 .88 .88 1.04 1.09 1.12 1.29 1.31 1.48 1.49 1.59 1.62 1.65 1.71 1.76 1.83
a. Calculate a point estimate of the mean value of coating
thickness, and state which estimator you used. Calculate a point estimate of the median of the coating
thickness distribution, and state which estimator
you used.
b. Calculate a point estimate of the value that separates the largest 25% of all values in the thickness
distribution from the remaining 75%, and state which estimator you used. Also estimate P(X < 1.5), i.e.,
the proportion of all thickness values less than 1.5.
c. Please draw a normal probability plot and see if it supports the assumption of normal distribution.
Transcribed Image Text:P1. Consider the following sample of observations on coating thickness for low viscosity Paint: .83 .88 .88 1.04 1.09 1.12 1.29 1.31 1.48 1.49 1.59 1.62 1.65 1.71 1.76 1.83 a. Calculate a point estimate of the mean value of coating thickness, and state which estimator you used. Calculate a point estimate of the median of the coating thickness distribution, and state which estimator you used. b. Calculate a point estimate of the value that separates the largest 25% of all values in the thickness distribution from the remaining 75%, and state which estimator you used. Also estimate P(X < 1.5), i.e., the proportion of all thickness values less than 1.5. c. Please draw a normal probability plot and see if it supports the assumption of normal distribution.
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