
Answer-first summary for fast verification
Answer: Increasing the number of replications
## Explanation **B is correct.** In Monte Carlo simulation, the standard error of the estimated mean decreases as the number of replications (sample size) increases. This is based on the statistical principle that the standard error of the mean is equal to σ/√n, where σ is the population standard deviation and n is the sample size. As n increases, the standard error decreases, leading to more precise estimates. **A is incorrect.** Increasing the expected value does not affect the accuracy or precision of the simulation. The expected value is a parameter of the distribution being simulated, not a factor that controls simulation accuracy. **C is incorrect.** Increasing the variance actually increases the standard error, as standard error is proportional to the standard deviation of the distribution. Higher variance leads to less precise estimates for the same sample size. **D is incorrect.** Increasing the confidence level widens the confidence interval but does not reduce the standard error. The confidence level determines how certain we are that the true parameter falls within the interval, but it doesn't affect the precision of the estimate itself.
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An analyst is conducting a Monte Carlo simulation to estimate the expected value of a random variable. The analyst wants to reduce the standard error of the simulated expectation. Which of the following correctly describes a method for reducing the standard error?
A
Increasing the expected value of the simulation
B
Increasing the number of replications
C
Increasing the variance of the distribution
D
Increasing the confidence level of the simulation
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