Question 5.69

5.69 The effect of the sample size.

Refer to Exercise 5.63, where you simulated the sampling distribution of the mean of two uniform variables, and Exercise 5.65, where you simulated the sampling distribution of the mean of 12 uniform variables.

  1. Based on what you know about the effect of the sample size on the sampling distribution, which simulation should have the smaller variability?
  2. Did your simulations confirm your answer in part (a)? Write a short paragraph about the effect of the sample size on the variability of a sampling distribution using these simulations to illustrate the basic idea. Be sure to include how you assessed the variability of the sampling distributions.

5.69

(a) The simulated mean using 12 uniform variables should have smaller variability than the simulated mean using only 2 uniform variables. (b) The simulations should have confirmed this.