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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?
A typical propane tank that we use for barbeque initially contains a pressure of 10 psi. The pressure is low, so we take it to the local store to fill the tank with more propane. After filling,the pressure is 100 psi.
The force F = 90i + 60j + 20k acts at the point (0,0,40). Compute the moment of the force about a line through the origin that has direction cosines (1/sqrt(3), 1/sqrt(3), 1/sqrt(3), 1/sqrt(3)).
An earth embankment is compacted at water contect of 17% to a bulk density of 1.90 gm/cc.If the specific gravity of soil grains is 2.65, then what will be the degree of saturation of the compacted embankment
Groundwater in Taupe, Arizona, initially contains 1.8 mg/L of iron(III). What must the pH be raised to in order to precipitate 0.3 mg/L of the iron
A plane flow field is developed by addition of a free vortex and a uniform stream in the positive x direction. If the vortex is located a distance a from the origin, find the pressure variation in the flow field.
A load is to be raised 20 ft by the hoisting system. Assuming Gear A is initially at rest, accelerates uniformly to a speed of 120 rpm , determine (a) the number of revolutions exected by gear A in raising the load. (b) The time required to raise ..
What should be the length of an aluminum wire of 6 mm in diameter so it can be twisted one full turn without exceeding a shear stress of 42 MPa G = 27 GPa.
The center of gravity G of the 20-in. club is located 12 in. from the knob. knowing that at the instant, G has a velocity of 4 ft/s upwards and the club has an angular velocity of 30 rad/s counterclockwise
Assume that the cord used in a bungee jump behaves like a linear spring when it is stretched with a spring constant of 80 lb/ft. A 180 lb student is going for a bungee jump off the Canyon Creek bridge in Washington state.
A force of 100 000 N is applied to a 10 mm x 20 mm rectangular cross-section iron bar in tension. If the iron has a yield strength of 400 MPa and a tensile strength of 480 MPa, determine: whether the bar will plastically deform
Testing has shown that at a local race track (0.25 in length) racecars have a maximum side friction factor of 0.08. The smallest turn radius on the oval track is 150 feet and has a banking of 20 degrees.
Christian is picking out ties for a business trip. Anastasia knows from experience that Christian has a 50% chance of picking a grey tie. Find the probability Christian won't pick out a grey tie until the 3rd or 4th tie.
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