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The measurements of the nominal shear strength (in kN) for a sample of 15 prestressed concrete beams are as follows:580 400 428 825 850 875 920 550 575 750 636 360 590 735 950* Data from Tan, k., K. tong, and C. Tang. 2001. Direct strut-and-tie model for pre-stressed deep beam. Journal of Structural Engineering, 2001:1076-1084.
(a) Check that the nominal shear strength measurements are normally distributed and verify that there are no outliers in the sample data.
(b) Can you support the claim that the mean nominal shear strength is actually less than 600 kN. Find the p-value.
(c) Compute the power of the test if the true mean nominal shear strength is 750 kN.
The aluminium wire has a radius of 1.1mm. What must be the radius of the steel wire if it is to stretch the same distance as the aluminium wire, so that the two wires maintain equal lengths after the masses are attached?
suppose helen deposits $4000 today and one year from today she deposits $1000. Each year she increases her deposit by $500 until she makes her last deposits on roberta's 18 birthday. how much is on deposit after the 18th birhday
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A steel bolt and nut are tightened around an aluminum sleeve. Find the internal forces as the nut is rotated 1 turn
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The initial investment is $12,000 , there is no annual maintenance cost for the first 3 years , however , it will be $2,000 in each of years four and five , and then $4,500 in the sixth year and increasing by $2,500 each year thereafter .
A steel tank hold 120 ft^3 of water at atmospheric pressure(14.7psi and 68.4 degrees f). the water is subjected to a 100 fold increase in pressure. determine the initial weight and final density of the water if the volume decreases by .545 ft ^3.
The motion of a particle is defined as x=t^2-8t+7 and y=0.5t^2+2t+4, where x and y are in meters and t is in seconds. Determine the magnitude of the smallest velocity reached by the particle, and the time, position, and direction of that velocity.
Calculate the area of a circular tract of land which has a radius of 30 meters using the mathematical formula, Trapezoidal Rule, and Simpson's Rule. Compare your results. Use an offset of 5 meters.
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