Suppose that a random sample of size 100 is to be selected from a population with mean 50 and standard deviation 6. (a) What are the mean and standard deviation of the sampling distribution of x? 50 0.6 Describe the shape of the sampling distribution of x. Since n is less than 30 we can't say what the shape of the distribution of x will be. Since n is greater than or equal to 30 we can't say what the shape of the distribution of x will be. Since n is less than 30 the distribution of x will be approximately normal. Since n is greater than or equal to 30 the distribution of x will be approximately normal. (b) What is the approximate probability that x will be within 0.4 of the population mean ? (Round your answer to four decimal places.) (c) What is the approximate probability that x will differ from # by more than 0.8? (Round your answer to four decimal places.) You may need to use the appropriate table in the appendix or technology to answer this question. Need Help? Read It Watch it