Our statistical software has a random number generator that is supposed to produce numbers scattered at random between 0 and 1. If this is true, the population of generated numbers has a mean of 0.5. A command to generate 100 random numbers gives results with sample mean 0.536 and sample standard deviation 0.312. We are investigating whether the mean of the population of numbers produced differs from 0.5. What are the null and alternative hypotheses?

Our statistical software has a random number generator that is supposed to produce numbers scattered at random between 0 and 1. If this is true, the population of generated numbers has a mean of 0.5. A command to generate 100 random numbers gives results with sample mean 0.536 and sample standard deviation 0.312. We are investigating whether the mean of the population of numbers produced differs from 0.5. What are the null and alternative hypotheses?

Our statistical software has a random number generator that is supposed to produce numbers scattered at random between 0 and 1. If this is true, the population of generated numbers has a mean of 0.5. A command to generate 100 random numbers gives results with sample mean 0.536 and sample standard deviation 0.312. We are investigating whether the mean of the population of numbers produced differs from 0.5.
What are the null and alternative hypotheses?




A. H0: mu =/= 0.5, Ha: mu = 0.5
B. H0: mu = 0.5, Ha: mu =/= 0.5
C. H0: mu = 0.5, Ha: mu > 0.5
D. H0: mu = 0.5, Ha: mu < 0.5


Answer: B. H0: mu = 0.5, Ha: mu =/= 0.5


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