1. In a population of subjects who died from lung cancer following exposure to asbestos, it was found that the mean number of years elapsing between exposure and death was 25. The standard deviation was 7 years. Consider the sampling distribution of sample means based on samples of size 35 drawn from this population. (I) What will be the shape of the sampling distribution?
(2) What will be the mean and variance of the sampling distribution?
(3) What is the probability that a single simple random sample of size 35 drawn from this population will yield a mean between 22 and 29?