If o² is unknown and X = 15 , S= 5 , n= 100 , a= 0.1 to test Ho : µ= 10 VS H : µ >10 , the correct test and decision are
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- Prove that bx=exln(b) for positive b1 .The vertical displacement v of a cracked slurry infiltrated fiber concrete member at maximum shear stress is given by v = a + bw, where w is the crack width, and a and b are estimated from data to be a = 2.5 ± 0.1 mm and b = 0.05 ± 0.01. Assume that w = 1.2 ± 0.1 mm.a) Estimate v, and find the uncertainty in the estimate.b) Of the uncertainties in w, a, and b, only one has a non-negligible effect on the uncertainty in v. Which one is it?Use the Euler method with dx = 0.2 to estimate y(1) if y' = y and y(0) = 1. What is the exact value of y(1)?