Testing a random number generator. Statistical software has a “random number generator” that is supposed to produce numbers uniformly distributed between 0 and 1. If this is true, the numbers generated come from a population with m 5 0.5. A command to generate 100 random numbers gives outcomes with mean x 5 0.531 and s 5 0.294. Because the sample is reasonably large, take the population standard deviation also to be s 5 0.294. Do we have evidence that the mean of all numbers produced by this software is not 0.5?