insider the following sample of observations on coating thickness for low-viscosity paint. 0.83 1.42 0.88 0.88 1.04 1.09 1.17 1.29 1.31 1.49 1.59 1.62 1.65 1.71 1.76 1.83 USE SALT 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.) 1.3475 ✓ State which estimator you used. O p Os Os/x x Ox (b) Calculate a point estimate of the median of the coating thickness distribution. (Round your answer to four decimal places.) 1.365 State which estimator you used and which estimator you might have used instead. (Select all that apply.) Os X Ор Os/x ✔x (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 u and o.] (Round your answer to four decimal places.) 0.9096 X Ox State which estimator you used. O x O10th percentile O90th percentile (d) Estimate P(X < 1.5), i.e., the proportion of all thickness values less than 1.5. [Hint: If you knew the values of μ and o, you could calculate this probability. These values are not available, but they can be estimated.] (Round your answer to four decimal places.) 0.4286 x (e) What is the estimated standard error of the estimator that you used in part (b)? (Round your answer to four decimal places.) 0.0855 X

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Please answer all parts because it’s one question. The first person got it wrong.
Consider the following sample of observations on coating thickness for low-viscosity paint.
0.83 0.88
1.42
0.88 1.04 1.09
1.49 1.59 1.62
1.17 1.29 1.31
1.65 1.71 1.76 1.83
USE SALT
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.)
1.3475
State which estimator you used.
Ор
Os
s/xX
O x
O x
(b) Calculate a point estimate of the median of the coating thickness distribution. (Round your answer to four decimal
places.)
1.365
State which estimator you used and which estimator you might have used instead. (Select all that apply.)
Os
✓X
Ор
Os/x
✓X
(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 u and o.] (Round your answer to four
decimal places.)
0.9096 x
State which estimator you used.
Ox
O 10th percentile
90th percentile
Os
S
Ox
(d) Estimate P(X < 1.5), i.e., the proportion of all thickness values less than 1.5. [Hint: If you knew the values of μ and o,
you could calculate this probability. These values are not available, but they can be estimated.] (Round your answer to
four decimal places.)
0.4286 X
(e) What is the estimated standard error of the estimator that you used in part (b)? (Round your answer to four decimal
places.)
0.0855
x
You may need to use the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text:Consider the following sample of observations on coating thickness for low-viscosity paint. 0.83 0.88 1.42 0.88 1.04 1.09 1.49 1.59 1.62 1.17 1.29 1.31 1.65 1.71 1.76 1.83 USE SALT 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.) 1.3475 State which estimator you used. Ор Os s/xX O x O x (b) Calculate a point estimate of the median of the coating thickness distribution. (Round your answer to four decimal places.) 1.365 State which estimator you used and which estimator you might have used instead. (Select all that apply.) Os ✓X Ор Os/x ✓X (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 u and o.] (Round your answer to four decimal places.) 0.9096 x State which estimator you used. Ox O 10th percentile 90th percentile Os S Ox (d) Estimate P(X < 1.5), i.e., the proportion of all thickness values less than 1.5. [Hint: If you knew the values of μ and o, you could calculate this probability. These values are not available, but they can be estimated.] (Round your answer to four decimal places.) 0.4286 X (e) What is the estimated standard error of the estimator that you used in part (b)? (Round your answer to four decimal places.) 0.0855 x You may need to use the appropriate table in the Appendix of Tables to answer this question.
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