1. A company is producing cylindrical blocks for a children's toy. The average diameter of a block is 3.5 inches. Sixteen blocks are inspected and the diameters are measured. The standard deviation is estimated to be 0.02 inches. What are the 99.7% upper and lower control limits for the x-bar chart?

2. Demand for a particular type of battery fluctuates from one week to the next. A study of the last 6 weeks provides the following demands (in dozens): 4, 5, 3, 2, 8, 10 (last week). (a) Forecast demand for the next week using a 2-week moving average. (b) Forecast demand for the next week using a 3-week moving average.

3. In a four-factor analysis used in a multifactor evaluation process, it is desired to have the F1 importance weight four times as much as the F2 importance weight. The F2 importance weight should be four times as much as the F3 importance weight. The F3 importance weight should be four times as much as the F4 importance weight. Determine the appropriate importance weights of F1 , F2 , F3 , F4 to be used in the multifactor evaluation process. (Hint: Consider numerator factors of 4.)