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At a certain university, the average cost of books was $380 per student last semester and the population standard deviation was $90. This semester a sample of 40 students revealed an average cost of books of $405 per student. The Dean of Students believes that the costs are greater this semester. What is the test value for this hypothesis?
Suppose the velocity v (in m/s) of a some moving object can be computed by the formula v=10t+4, where t (in s) is the time elapsed. What is the biggest possible error (worst case) of v if the error in the measurement of t is known to be less than 0..
Test at the five percent level of significance
Using the definition of the derivative and any standard limiting theorems, show that the derivative of (sinx)^2 is sin(2x).
The equation is J1(wg) where J1 is bessel functon of the first kind of order 1, w is angular frequency and g is a constant. How do I inverse fourier transform this equation to time domain representation?
Find the directional derivative at P(-2,2,-1) in the direction of Q(18,-2,4). Find the direction of maximum decrease at P. (your answer does not have to be unit vector.) What is the maximum rate of decrease?
Finding the maximum speed using first derivative test - Find the speed will maximize the flow rate on the road?
Convergence and Divergence: find an infinite series of the given absolute function by using the fact give also estimate natural log of values by substitution
Suppose instead of making monthly deposits, Mary decides to deposit a "lump sum" into the account. How much must she deposit? What is this value also called?
Find the slope of the tangent line to the graph of y= ln[x*e^x] at the point where x=3.
Billy likes to go cycling. His bike has wheels of a diameter 75. He has invented a counter for his bike, which counts the revolutions the wheel makes. One day the counter shows 370 revolutions. How far has billy cycled?
A rectangular swimming pool 16 m by 11 m is being filled at the rate of 0.4 m3/min. How fast is the height h of the water rising?
Find the volume of a solid that is generated by rotating the region formed by the graphs of y=x^2, y= 2, and x = 0 about the y-axis?
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