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A quality characteristic is monitored by a control chart designed so the probability that a certain out-of-control condition will be detected on the first sample following the shift to that state is 1-beta. Find the following:
a) The probability that the out-of-control condition will be detected on the n'th sample following the shift.
b) The expected number of subgroups analyzed until the shift is detected.
c) The probability that the first sample following the shift produces a statistics that plots inside the control limits.
d) The probability that n consecutive samples produce statistics that plots outside of the control limits.
e) The probability of detecting the shift after the nth sample following the shift, which means the shift is detected in the (n+1)th, or (n+2)th, ... sample
f) The probability that at least 1 out of n consecutive samples produce statistics that plots outside of the control limits.
How much of a reduction in the automobile emission rate would be required to achieve the maximum eight-hour average NAAQS for CO at steady state 9ppmv (10.3 mg/m3)?
Using Rate of Return Analysis, determine the most economical alternative below. Assume a minimum attractive rate of return of 6%, and a 5-year life with no salvage value for each. The alternatives are mutually exclusive
A fisherperson, pulling on the anchor cord, causes a force on the man of F=(40i+20j-50k)N. If the cord is 30m long,determine the Cartesian coordinates of the anchor at A. Assume that cord OA is a straight line.
How fast will it be going when it hits the ground?
The volume flow rate of streams into the pipe is given by QA = 0.02t m 3 /s and that of stream B by QB = 0.008t 2 m 3 /s, where t is in seconds. The exit area of the pipe is 0.01m 2 . Find velocity and acceleration of the flow at exit at t = 1s.
if the subgrade has a resilient modulus of 103,500kN/m2, design a suitable pavement consisting of a granular subbase with a layer of coefficient of 0.13, a granular base layer with a layer coefficient of 0.14, and an asphalt concrete surface with ..
Compare the head loss for water flow (Q=5 cfs) in a 12 in., 3000 ft. long steel pipe using the darcy-weisbach equation and the hazen-williams formula.
A force, 90 N in magnitude, is applied to control rod AB as shown. Knowing that the length of the rod is 225 mm, determine the moment of the force about point B by resolving the force into components along AB and in a direction perpendicular to AB..
A CU triaxial test with σc = 20 psi is performed on a sand and a deviator stress of 80 psi fails the specimen. Previous tests revealed that the effective friction angle for this sand is 35°. Calculate the pore water pressure at failure.
Find the dimensions of a rectangular concrete channel to carry a flow of 150 m3/s, with bottom slope 0.015, and mean velocity 10.2 m/s.
An industry is illegally discharging benzene into a river. The concentration in the river at the point of discharge is 0.2 mg/L. A drinking water treatment plant (DWTP) is located 1.5 km downstream. The water velocity in the river is 0.35 km/day.
Suppose that the distance from the lake outlet to the withdrawal cannot be more than 20 mi. What should be the new volume of the lake?
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