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 0.88 0.88 1.071.09 1.28 1.29 1.31 1.42 1.49 1.59 1.62 .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.) 1.359375 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.) 115 State which estimator you used and which estimator you might have used instead. (Select all that apply.)

Explanation / Answer

point estimate of median = pcap

c)
std. dev. = 0.3153
n = 16
SE = 0.3153/sqrt(16) = 0.0788
z-value = 1.28
xbar = mu + z*sigma
xbar = 1.3594*1.28*0.0788
xbar = 0.1371

Required value = 0.1371

d)
P(X < 1.3)
= P(z < (1.3 - 1.3594)/0.0788)
= P(z < -0.7538)
= 0.2255

e)
Standard Error = SE = 0.3153/sqrt(16) = 0.0788

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