Consider the following sample of observations on coating thickness for low-visco

Question

Consider the following sample of observations on coating thickness for low-viscosity paint. 0.85 0.88 0.88 1.02 1.09 1.11 1.29 1.31 1.38 1.49 1.59 1.62 1.65 1.71 1.76 1.83 Assume 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. (Round your answer to four decimal places.) 34125 State which estimator you used. s /X (b) Calculate a point estimate of the median of the coating thickness distribution. (Round your answer to four decimal places.) 1.345 State which estimator you used and which estimator you might have used instead. (Select all that apply (c) Calculate a point estimate of the value that separates the largest 10% of all values in the thickness distribution from the remaining 90%. [Hint: press what you are trying to estimate in terms of H and o.] (Round your answer to four decimal places.) 1.684

Explanation / Answer

here mean =1.34125

and std deviation =0.3365

for 90th percentile ; z=1.2816

c)hence correspondng value =mean +z*std deviation=1.7726

d) P(X<1.2)=P(Z<(1.2-0.3365)/1.2816)=P(Z<-0.4197)= 0.3374

e)std error of mean =std deviatin/(n)1/2 =0.0841

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