Suppose f(x) = x^2 and g(x) = (1/2x)^2. which statement best compares the graph of g(x) with the graph of f(x)?
a. the graph of g(x) is shifted 2 units to the right.
b. the graph of g(x) is horizontally stretched by a factor of 2
c. the graph of g(x) is vertically compressed by a factor of 2
d. the graph of g(x) is horizontally compressed by factor of 2

The investigating team suspected that there were differences in the cost of repairing cars in workshop i and workshop ii. the investigating team suspected that the costs raised by workshop i were greater than workshop ii. for that they tested the repair of 15 cars in each workshop to see the cost of repairs.the decision of the right hypothesis to prove the suspicion above is a. h0 : μ1- μ2­ = 0; ha : μ1- μ2­ ≠ 0 b. h0 : μ1- μ2 ≥ 0; ha : μ1- μ2 < 0 c. h0 : μd ≥ 0; ha : μd < 0 with μd = μ2- μ1 d. h0 : μd = 0; ha : μd ≠ 0 with μd = μ2- μ1 e. h0 : μ1- μ2 = 0; ha : μ1- μ2 ≥ 0