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A random sample of 50 suspension helmets used by motorcycle riders and automobile race- car drivers was subjected to an impact test, and on 18 of these helmets some damage was observed.
(a) Test the hypothesis, H0: p = 0.3 versus H1: p > 0.3 with a = 0.05.
(b) Find the P-value for this test.
(c) Find a 95% two-sided traditional CI on the proportion of helmets of this type that would show damage from this test. Explain how this confidence interval can be used
to test the hypothesis in part (a).
(d) Using the point estimate of p obtained from the preliminary sample of 50 helmets, how many helmets must be tested to be 95% confident that the error in estimating the true value of p is less than 0.02?
(e) How large must the sample be if we wish to be at least 95% confident that the error in estimating p is less than 0.02, regardless of the true value of p?
The footing is supported to carry a net safe load of 400 kN/m^2 with FS = 3. Given Ysat = 20.85 KN/m^3 and phi = 35 degrees, find the required width of the footing using Terzaghi's general shear failure criterion.
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A solid ball starts to roll up a hill with an initial velocity of 50m/s. The ball has a mass of 20 Kg with a 0.75 m radius. How high did the ball roll before it momentarily stopped
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Base isolation technique has become the method of choice for structural design of buildings and bridges located in highly seismic areas in recent years.
The force is applied at the two pins. The pins allow rotation around the z-axis and do not allow rotation around the y-axis. The length of the beam between the pins is 8m. Determine the maximum allowable compressive force that can be applied.
Compare the physical migration of workers during U.S. industrialization and present-day intellectual transition into a new type of workforce.
a reinforced concrete beam with a section of 12 inches width and 24 inches depth is reinforced with 3no. 9 bars. fc'=5000psi and fy=60000psi. a 2 inch cover is used and the beam has a simply supported span lenght of 15ft.
Determine whether these conditions are true or false.
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