Testing a random number generator. A random number generator is supposedto produce
Chapter 0, Problem 15.23(choose chapter or problem)
Testing a random number generator. A random number generator is supposedto produce random numbers that are uniformly distributed on the interval from0 to 1. If this is true, the numbers generated come from a population with = 0.5and = 0.2887. A command to generate 100 random numbers gives outcomeswith mean x = 0.4365. Assume that the population remains fixed. We want totestH0: = 0.5Ha: = 0.5(a) Calculate the value of the z test statistic.(b) Is the result significant at the 5% level ( = 0.05)?(c) Is the result significant at the 1% level ( = 0.01)?(d) Between which two Normal critical values in the bottom row of Table C doesz lie? Between what two numbers does the P-value lie? What do you conclude?
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