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A process is normally distributed and in control, with known mean and variance, and the usual three-sigma limits are used on control chart, so that the probability of a single point plotting outside the control limits when the process is in control is 0.0027. Suppose that this chart is being used in phase 1 and the averages from a set of m samples or subgroups from this process are plotted on this chart. What is the probability that at least one of the averages will plot outside the control limits when m=5? Repeat these calculations for the cases where m = 10, m= 20 and m=30. Discuss the results that you have obtained.
If the maximum (total) depth of water that can be accommodated at the weir is 1m and the width of the channel is 4m, determine the crest height of a suppressed weir that should be used to measure the flowrate.
If the amount of heat transfer in the HE unit is 2460 kJ per kg of steam, what is the magnitude of shaft work obtained from the turbine in kW?
A "slap shot" in the game of hockey can cause an increase in the velocity of a 5 oz puck from 2 ft/sec to 110 ft/sec. What would be the corresponding increase in the kinetic energy (ft-lb) of the puck.
Determine the estimated width of flexural cracks that will occur in the 8" (total depth) one-way slab shown in the figure below. Assume bottom clear cover is3/4". is the crack width permissible assuming the exposure is dry air
Imagine two small towns of 1,000 people: Blacktop and Parktown. In the urban sprawl that is Blacktop, all the residents own fuel-efficient cars (15 km/liter) and travel an average of 20,000 km per year.
a particle moving along a straight path decelerates according to a = -kv. this represent a drag-induced deceleration. assume that the intial velocity is vo at t=0 and s = 0. determine the velocity of the particle both
When the total pressure acting at midheight of a compressible clay layer is 100 kN/m^2, the corresponding void ratio is 1.09. When the total pressure increases to 400 kN/m^2, the corresponding void ratio decreases to 0.89.
Assume the microorganisms are 55 percent efficient at converting food to biomass, the organisms have a first-order death rate constant of 0.05/day, and the microbes reach half of their maximum growth rate when the BOD5 concentration is 10 mg/L
A hot-rolled 7-mm-diameter steel rod is axially loaded at room Temp under a fully reversed cyclic loading. under the rotating beam test, the endurance limit for this steel is 470 MPA, under static loading the ultimate strenght is 1200 MPA.
An empty air tank has a volume of 0.024 m3. The compressor on the tank is run until the pressure gauge reads about 65 psi (or 22,500 Pa). Assuming the temperature of the tank is 25 C, find the density of the air and the weight of the air in the ta..
A river with 400 ppm of salts (a conservative substance) and an upstream flow of 25 m^3/s receives an agricultural discharge of 5.0 m^3/s carrying 2000 mg/L of salts.
A tank of Compressed oxygen for flame cutting is to contain 10 kg of oxygen at a preassure of 14 MPA ( the temperature is 20 degrees Celsius). How large must be the tank volume
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