1. The following are the infiltration capacity rates at various time intervals after the beginning of the storm over a catchment area. \"mu 7 10 Infiltration 3.9 3.4 3.1 2.7 2.5 2.3 2.0 1.2 1.2 Rate Two equations are proposed below to describe the process of infiltration f=fc+ (f.,fc)ekt and f = at'b where fo , k, a and b are regression constants and f and tare the infiltration rate and time respectively. Which of the equations does the observed data fit better? Determine fo , k, a and b if fc =1 .2cm / hr. 2. A manufacturer determined the mean breaking strength and standard deviation of her cable to be 200N and 100N respectively. In order to ascertain whether the product is conforming to standards, for ten days a sample of 20 pieces of cables were taken every day and the mean breaking strength determined. IE------\"n Mean 1300 1000 1000 500 1500 750 500 800 strength (i) Find the 95% and 99.8% control limits. (ii) Design a decision rule for ascertaining whether the product is conforming to standard. (iii) Plot the chart and discuss it