Do the parameters of the sampling distribution of the sample mean change for different types of population (e.g., skewed vs. symmetric) and different sample sizes? Explain.

Let x denote the amount of time a randomly selected customer spends on hold with some insurance company. Suppose X follows a distribution with a mean of 8 hours and a variance of 16 hours. The population density curve for X is shown below.

Population Distribution for Time spent on hold 0.10 0.08 0.08 Value of density curve 0.04 0.02 0. 00 10 15 20 25 30 Time Spent on hold (hours)