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The average waiting time in a doctor’s office varies. The standard deviation of waiting times in a doctor’s office is 3.4 minutes. A random sample of 30 patients in the doctor’s office has a standard deviation of waiting times of 4.1 minutes. One doctor believes the variance of waiting times is greater than originally thought.
a) What is the test statistic?
b) What is the p-value?
c) What can you conclude at the 5% significance level?
Minimum distance. Find the minimum distance from a point on the
positive x-axis (a, 0) to the parabola y^2 = 8x.
Draw the Hasse diagram for the lattice (D₂4, 1). Hence find. a) maximal & minimal element b) glb of 446 geb of 8 & 2 d) lub of 8 & 6
Consider a relation R=\ (1,1),(1, ), (0,2), (2,3) (3,1)) on the set A=\ 1,2,3\ Find transitive closure of the relation R using algorithm Warshall's
Two balls are drawn in succession without replacement from an urn containing 6 green balls and 6 yellow balls. Let Y be the random variable representing the number of yellow balls. Find the values of the random variable Y
A factory produces three types of fertilizer: X1, X2 and X3. The profits realized from a kilo of each typeare P25, P15 and P35, respectively. The raw materials from which fertilizers are made are nitrogen, sulfurand potassium which are used in the following quantities:NitrogenSulfurPotassiumX13 kilos4 kilos8 kilosX23 kilos4 kilos1 kiloX32 kilos5 kilos3 kilosThe available stocks include 1,500 kilos of nitrogen, 1000 kilos of sulfur and 1200 kilos of potassium. Theobjective is to maximize profit. Find the amounts of X1, X2 and X3 to be manufactured
Let F(x)=∫
t−3
t
2+7
for − ∞ < x < ∞
x
(a) Find the value of x where F attains its minimum value.
(b) Find intervals over which F is only increasing or only decreasing.
(c) Find open intervals over which F is only concave up or only concave down.
(a) Evaluate∫[
𝒙/(𝒙^2+𝟏)^(1/2)𝒅𝒙.
(b) Use MATLAB to generate some typical integral curves of 𝑓(𝑥) =
𝒙/(𝒙^2+𝟏)^(1/2)𝒅𝒙over the interval (−5,5).
Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 − 2xy + y2, (1, 5, 16) with maple lab please
For the relation R = {(p,p) ,(q,p),(q,q),(r,r),(r,s),(s,s) ,(s,m) ,(m,m)}
1.Using warshall algorithm find the transitive closure R* of R
2.write matrix representation of R*
3.Check whether the relation of R* is an equivalence relation or a partial order.
