Mathematics, 13.12.2019 00:31 angelina0miles

tommy performs a simulation of a sampling distribution. he first rolls a die 10 times and records the proportion of sixes. then tommy conducts a simulation of this event, first 100 times, then 1000 times and draws one histogram of the proportion of sixes found after 100 simulations and a second histogram of the proportions of sixes after 1000 simulations.

what is true regarding the mean of the proportions of sixes from each simulation?
a) the mean for the 100 simulations will be more than the mean of the 1000 simulations.
b) the mean for the 1000 simulations will be a better estimator of the theoretical probability of rolling a six than the mean for the 100 proportions.
c) the mean for the 100 simulations will be less than the mean for the 1000 simulations.
d) the mean of the proportions of sixes for both simulations will not estimate the theoretical probability of rolling a six since they are finite samples from an infinite population.

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