Consider the following sample of observations on coating thickness for low-viscosity paint.
0.87 0.88 0.88 1.01 1.09 1.22 1.29 1.31
1.32 1.49 1.59 1.62 1.65 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.)
state which estimator you used.
(b) calculate a point estimate of the median of the coating thickness distribution. (round your answer to four decimal places.) state which estimator you used and which estimator you might have used instead.
(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 μ and σ.] (round your answer to four decimal places.) state which estimator you used.
(d) estimate p(x < 1.6), i. e., the proportion of all thickness values less than 1.6. [hint: if you knew the values of μ and σ, you could calculate this probability. these values are not available, but they can be estimated.] (round your answer to four decimal places.)
(e) what is the estimated standard error of the estimator that you used in part (b)? (round your answer to four decimal places.)

Which geometric principle is used to justify the construction below?

Question 1 (3 points) saved what is the solution for the following system of equations? use any method to solve. y = -x +4 y = x - 2 question 1 options: ( 4 , -2) (2, 1) (3, 1) (3, -2) question 2 (3 points) saved the solution to a system of equations is where the lines intersect. question 2 options: true false question 3 (3 points) which ordered pair is the best estimate for the solution of the system of equations? the graph of the system of equations : y = 3/2x +6 and y=1/4x - 2 question 3 options: (-6, -3) (-6.5, -3.5) (-7, -4) (-7, -3.5) question 4 (3 points) what is the solution for the following system of equations? use any method to solve. 2x + 8y = 4 x = -3y + 5 question 4 options: x = 14, y= -3 x = 2, y = -3 x = -3, y = -3 x = 12, y = 5 question 5 (3 points) solve the following system using any method. 8a - 4b = 20 5a - 8b = 62 question 5 options: a = 5, b = -4 a = 8, b = 4 a = -5, b = -8 a = -2, b = -9 question 6 (3 points) breana is selling tickets to a choral performance. on the first day of ticket sales, she sold 3 senior citizen tickets and 1 child ticket for a total of $38. breana took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. what is the price of a senior citizen ticket? question 6 options: question 7 (3 points) a farmer has 5 times as many cows as pigs. the farmer only has cows and pigs, and he has 168 animals. how many cows does he have? question 7 options: 140 cows 120 cows 50 cows 28 cows question 8 (3 points) how many solutions does the system have? question 8 options: zero one infinitely many question 9 (3 points) what is the solution to the system of equations? graph of x+2y = 6 and y = x question 9 options: (1 , -2) (2, 2) (3, 5) (-2, 2)

What will be the end result for the taxpayer who filed his federal income tax return using the 1040ez form shown belowa he'll owe $173b he'll receive a refund of $173c he'll owe $3921d he'll receive a refund of $3921