Suppose x has a distribution with a mean of 50 and a standard…

Question Answered step-by-step Suppose x has a distribution with a mean of 50 and a standard… Suppose x has a distribution with a mean of 50 and a standard deviation of 36. Random samples of size n = 64 are drawn.(a) Describe the x bar distribution.x bar has a normal distribution.x bar has an approximately normal distribution. x bar has a binomial distribution.x bar has a Poisson distribution.x bar has a geometric distribution.x bar has an unknown distribution.Compute the mean and standard deviation of the distribution. (For each answer, enter a number.)mu sub x bar = mu sub x bar = sigma sub x bar = sigma sub x bar = (b) Find the z value corresponding to x bar = 41. (Enter an exact number.)z = (c) Find P(x bar < 41). (Enter a number. Round your answer to four decimal places.)P(x bar < 41) = P(x bar < 41) (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 41? Explain.Yes, it would be unusual because more than 5% of all such samples have means less than 41.No, it would not be unusual because more than 5% of all such samples have means less than 41. No, it would not be unusual because less than 5% of all such samples have means less than 41.Yes, it would be unusual because less than 5% of all such samples have means less than 41. Math Statistics and Probability MATH MATH120 Share QuestionEmailCopy link Comments (0)