Question: 6.46 Testing a random number generator. Statistical software often has a random number generator that is supposed to produce numbers uniformly distributed between 0 and

6.46 Testing a random number generator. Statistical software often 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 0.5. A command to generate 100 random numbers gives outcomes with mean x 0.478 and s 0.296.

Because the sample is reasonably large, take the population standard deviation also to be s 0.296. Do we have evidence that the mean of all numbers produced by this software is not 0.5?

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