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. 0.88 0.880.88 1.05 1.09 1.18 1.29 1.31 1.39 1.49 1.59 1.62 1.65 .7 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.) 1.35 State which estimator you used slx (b) Calculate a point estimate of the median of the coating thickness distribution. (Round your answer to four decimal places.) 1.35 State which estimator you used and which estimator you might have used instead. (Select all that apply.) sIx (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: Express what you are trying to estimate in terms of and .] (Round your answer to four decimal places.) 1.77

Explanation / Answer

c)here from above data : mean =1.35 and std deviation=0.329

for top 90% values ; z=1.2816

therefore corresponding value =mean+z*Std deviation=1.35+1.2816*0.329=1.7717

d)

P(X<1.5) =P(Z<(1.5-1.35)/0.329)=P(Z<0.4558)=0.6757

e) std error =std deviation/(n)1/2 =0.329/(16)1/2 =0.0823

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