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A new concrete mix is being designed to provide adequate compressive strength for concrete blocks. The specification for a particular application calls for the blocks to have a mean compressive strength greater than 1350 kPa. A sample of 100 blocks is produced and tested. Their mean compressive strength is 1356 kPa and their standard deviation is 70 kPa. A test is made of H o: 1350 versus H 1: > 1350.
(a) Find the p-value.
(b) Do you believe it is plausible that the blocks do not meet the specification, or are you convinced that the blocks meet specification? Explain your reasoning.
A radioactive waste from a clinical laboratory contains 0.2 μCi (microcuries) of calcium-45 (45Ca) per liter. The half-life of 45Ca is 152 days.
An incompressible fluid flows horizontally in the x-y plane with a velocity given by u = 33 (y/h)1/2, where y and h are in meters and h is a constant. Determine the average velocity for the portion of the flow between y = 0 and y =h
A falling head permeability test was carried out on a 15 cm long sample of silty clay. The diameter of the sample and the standpipe were 9.8 cm and 0.75 cm, respectively. The water level in the standpipe was observed to fall from 60 cm to 45 cm in 12..
A 1:40 scale model of a ship is tested in a towing tank. Prototype operates in seawater at 60 F. Find a liquid to be used in the towing tank that allows both Froude and Reynolds scaling for the model and the prototype.
Steam at 100 psia, sat vapor is in a pipe. The pipe is schedule 40 steel with a wall thickness of 1/8 inch and a length of 100 ft. The outside air temperature is 40 degrees Fahrenheit. The mass flow of steam is 4,000 lb/hr.
A flat disk spins within an oil-filled enclosure. Clearances between the enclosure to both sides of the disk is 2.3 mm. The disk surface (area subject to shear) extends from radius 10mm to 90 mm.
Determine the value and location from point D of the maximum internal bending moment and shear force for the member. Take x = 2 ft. Be sure to draw complete free body diagram(s) for full credit.
Under these conditions flow is expected to be turbulent, but for a clean air, very smooth enterance (with guided vanes) to the tube and no tube vibration, it may be possible to maintain laminar flow.
Near the point (x, y) =(3,2) in a flow with a zero y-component (v=0), the velocity component are described by u =3x-3z, and w = 6-4z+ x. The velocities u and w are in m/s and are in the x- and z- directions, respectively.
The station and elevation of the PVI is 8+17.36 and 76.85 ft. Assume that there will be stakes placed at the PVI, BVC, and EVC, the low (or high) point, and at all the 100-ft stations.
A rectangular channel of 20 f t width and having n = 0.017 carries flow of 800 f t^3/s. Calculate (a) critical depth (b) the minimum speci c energy (c) the speci c energy when depth of flow is 7 f t.
Calculate the energy released per 42He nucleus produced and per mole of 42He produced. The atomic masses are 21H, 2.01410, 31H, 3.01605, and 42He, 4.00260. The masses of the electron and neutron are 5.4858 10-4 and 1.00866 amu, respectively.
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