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.

(a) Calculate a point estimate of the median of the coating thickness distribution. (Round your answer to four decimal places.)

(b) State which estimator you used and which estimator you might have used instead. (Select all that apply.)

(d) What is the estimated standard error of the estimator that you used in part (b)? (Round your answer to four decimal places.)

0.85 0.88 0.88 1.01 1.09 1.14 1.29 1.31 1.39 1.49 1.59 1.62 1.65 1.71 1.76 1.83

Explanation / Answer

Result:

a).

median = (1.31+1.39)/2 =

1.35

b).

c)

mean

1.3431

sample standard deviation

0.3360

Z value for top 10% =1.282

The x value = µ+z*

= 1.3431+1.282*0.3360

=1.773852

=1.7739 ( four decimals)

d).

standard error =sd/sqrt(n) =0.336/sqrt(16)

=0.084

mean

1.3431

sample standard deviation

0.3360

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