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4. Suppose we are studying an extremely right-skewed population with mean , = 10 and standard deviation o = 5. What are the parameters of the sampling distribution of the same mean for samples of size n = 507 (2 marks) 5. What is the shape of the sampling distribution of the sample mean in question 4? Explain. (2 marks) 6. 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. (2 marks) 7. Suppose we collect a sample of size n = 10 from some population. Under what condition is the sampling distribution of the sample mean normally distributed? (2 marks] 8. 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 bir Thee spand on said