For Exercises 6.51 and 6.52, see pages 320321; for 6.53 to 6.55, see pages 323324; for 6.56 to 6.59, see pages 325326; for 6.60 to 6.62, see pages 328329; for 6.63 and 6.64, see page 331; and for 6.65 and 6.66, see page 332.

Question 6.60

6.60 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 . A command to generate 100 random numbers gives outcomes with mean and . Because the sample is reasonably large, take the population standard deviation also to be . Do we have evidence that the mean of all numbers produced by this software is not 0.5?