A company manufactures components for the computer industry and has developed a model of one of its production systems. The measure of interest is the time that a component has to wait in one of the processes. The production process operates 12 hours a day and the system starts each day in the empty state. The model was run 100 times and the mean times the component had to wait is 29.3 minutes with a standard deviation of 2.94 minutes.

(i) Determine the 90% confidence interval for the true mean time from the model

(ii) Suppose the measurements from the real system gave a mean figure of 22 minutes, what would you conclude about the validity of the model?

(b) Use the multiplicative congruential method of random number generation to generate the first Five random numbers for the case where a=17, m=13, and seed is 6