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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Testing a random number generator. A random number generator is supposed to produce random numbers that are uniformly distributed on the interval from 0 to 1. If this is true, the numbers generated come from a population with μ=0.5 and σ=0.2887. A command to generate 100 random numbers gives outcomes with mean
= 0.4365. Assume that the population σ remains fixed. We want to test

(a) Calculate the value of the z test statistic.
(b) Use Table C: is z significant at the 5% level (∝= 0.05)?
(c) Use Table C: is z significant at the 1% level (∝= 0.01)?
(d) Between which two Normal critical values z* in the bottom row of Table C does z lie? Between what two numbers does the P-value lie? Does the test give good evidence against the null hypothesis?
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