3. 3r8 points | Prexius Answers UevoreStatg .E3 My Notes Ask Your T Consider the

Question

3. 3r8 points | Prexius Answers UevoreStatg .E3 My Notes Ask Your T Consider the following sample of observations on coating thickness for low-viscosity paint. 0.86 0.88 0.88 7 1.09 2 29 1.31 4 1.9 .59 62 65 .7 1.76 1.83 Assume that the distributlon of coating thickness Is nonmal (a nonmal probablity plot strongly supports this assumptlon) (a) Calculate a point estimate of the mean value of coating thickness. (Round your answer to four decimal places.) 1 3531 sail, v ich mi.irrv.nr yr"! urNl. (b) Calculate a point estirmate of the median of the coating thickness distribution. (Round your answer to four decimal places.) 1.3600 State which estimator you used and which estimator you might have used instead. (Select all that apply.) O s/x c) Calculate point estimate o the value that separates he largest 0go of all values in the thickne 55 distribution rom the remaining 900 Round your answer to four decimal places.) 1.7012 Hint: Express what you are trying to estimate in terms o r and

Explanation / Answer

Solution:-

Solution:-
c) mean = 1.3531,
estimate the stanard deviation deviation = = 0.3291
=> P(X > x) = 0.10
P(Z > (x - 1.3531)/0.3291) = 0.10
(x - 1.3531)/0.3291 = 1.28
x - 1.3531 = 1.28*0.3291
x = 1.3531 + 0.4212
x = 1.7743

=> option b.

d) P(X < 1.4) = P( Z < (1.4 - 1.3531)/0.3291)

=   P (Z < 0.1425)

= 0.5557

e) SE = 1.36 * S/sqrt(n)
= 1.36 * (0.3291/sqrt(16))
= 0.1119

  

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