G A control chart is used to control the fraction nonconforming based on three-sigma control limits. The average of this process is 0.05 and the sample size is 400. (a) (6 pts) What are the upper and lower control limits? (b) (7 pts) If the process average shift to 0.15, what is the probability that the shift would be detected on the first subsequent sample? (c) (6 pts) What is the probability that the shift would be detected on exactly the third sample?

Data from 2005 for various age groups show that for each $100 increase in the median weekly income for whites, the median weekly income of blacks increases by $105. also, for workers of ages 25 to 54 the median weekly income for whites was $676 and for blacks was $527. (a) let w represent the median weekly income for whites and b the median weekly income for blacks, and write the equation of the line that gives b as a linear function of w. b = (b) when the median weekly income for whites is $760, what does the equation in (a) predict for the median weekly income for blacks?

Factor this polynomial completely. 12x^2+ x-6

Suppose a batch of steel rods produced at a steel plant have a mean length of 150 millimeters, and a standard deviation of 12. if 100 rods are sampled at random from the batch, what is the probability that the mean length of the sample rods would differ from the population mean by less than 0.5 millimeters?