Testing a random number generator. Our statistical software has a “random number generator” that is supposed to produce numbers scattered at random between 0 to 1. If this is true, the numbers generated come from a population with μ = 0.5. A command to generate 100 random numbers gives outcomes with mean x = 0.536 and s = 0.312. Give a 90% confidence interval for the mean of all numbers produced by the software.