Consider the following sample of observations on coating thickness for low-viscosity paint.83 Assume that the distribution of coating thickness is...

Consider the following sample of observations on coating thickness for low-viscosity paint.1.56 0.98 1.44 1.04 1.09 1.12 1.29 1.311.60 1.49 1.59 1.62 1.65 1.71 1.76 1.83Assume that the distribution of coating thickness is normal (a normal probability plot strongly supports this assumption).(a) Calculate a point estimate of the mean value of coating thickness. (Give answer accurate to 4 decimal places.)State which estimator you used. (Select all that apply.)sO XO s /xOp"Oxb) Calculate a point estimate of the median of the coating thickness distribution. (Give answer accurate to 4 decimal places.)State which estimator you used. (Select all that apply.)OxO xUsOp~s/x(c) Calculate a point estimate of the value that separates the largest 10% of all values in the thickness distribution from the remaining 90%. (Give answeraccurate to 3 decimal places.)State which estimator you used.O x90th percentileO x10th percentileO s(d) Estimate P(X < 1.5), i.e., the proportion of all thickness values less than 1.5. (Give answer accurate to 4 decimal places.)(e) What is the estimated standard error of the estimator that you used in part (b)? (Give answer accurate to 4 decimal places.)