A quality control inspector accepts shipments of 500 precision ½" steel rods if the mean diameter of a sample of n = 100 falls between 0.4995" and 0.5005". Previous evaluations have established that the standard deviation for individual rod diameters is 0.003".

a. Determine the probability that the inspector will accept an almost out-of-tolerance shipment that actually has H 0.5003 cm.

b. Determine the probability that the inspector will (mistakenly) reject a near-perfect shipment that actually has u = 0.4999 cm.

The function ƒ is defined by ƒ(x) = (x + 3)(x + 1). the graph of ƒ in the xy-plane is a parabola. which interval contains the x-coordinate of the vertex of the graph of ƒ?

Divide. reduce the answer to lowest terms.5 2/3 ÷ 3 1/9

Powerful women's group has claimed that men and women differ in attitudes about sexual discrimination. a group of 50 men (group 1) and 40 women (group 2) were asked if they thought sexual discrimination is a problem in the united states. of those sampled, 11 of the men and 19 of the women did believe that sexual discrimination is a problem. if the p-value turns out to be 0.035 (which is not the real value in this data set), then at = 0.05, you should fail to reject h0. at = 0.04, you should reject h0. at = 0.03, you should reject h0. none of these would be a correct statement.