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? x = 0x = Describe the shape of the sampling distribution of x. O Since n is less than 30 the distribution of x will be approximately normal. O Since n is greater than or equal to 30 the distribution of x will be approximately normal. O Since n is less than 30 we can't say what the shape of the distribution of x will be. O Since n is greater than or equal to 30 we can't say what the shape of the distribution of x will be. (b) What is the approximate probability that x will be within 0.3 of the population mean u? (Round your answer to four decimal places.) (c) What is the approximate probability that x will differ from μ by more than 0.8? (Round your answer to four decimal places.)

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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?
H x =
σx =
Describe the shape of the sampling distribution of x.
O Since n is less than 30 the distribution of x will be approximately normal.
O Since n is greater than or equal to 30 the distribution of x will be approximately normal.
O Since n is less than 30 we can't say what the shape of the distribution of x will be.
O Since n is greater than or equal to 30 we can't say what the shape of the distribution of x will be.
(b) What is the approximate probability that x will be within 0.3 of the population mean u? (Round your answer to four decimal places.)
(c) What is the approximate probability that x will differ from μ by more than 0.8? (Round your answer to four decimal places.)
Transcribed Image Text: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? H x = σx = Describe the shape of the sampling distribution of x. O Since n is less than 30 the distribution of x will be approximately normal. O Since n is greater than or equal to 30 the distribution of x will be approximately normal. O Since n is less than 30 we can't say what the shape of the distribution of x will be. O Since n is greater than or equal to 30 we can't say what the shape of the distribution of x will be. (b) What is the approximate probability that x will be within 0.3 of the population mean u? (Round your answer to four decimal places.) (c) What is the approximate probability that x will differ from μ by more than 0.8? (Round your answer to four decimal places.)
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