Suppose x has a distribution with a mean of 40 and a standard deviation of 12....

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Suppose x has a distribution with a mean of 40 and a standard deviation of 12. Random samples of size n 64 are drawn. USE SALT (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has -Select- distribution with mean (b) Find the z value corresponding to x = 37. z= and standard deviation a (c) Find Px <37). (Round your answer to four decimal places.) P(x <37) (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 37? Explain. O Yes, it would be unusual because less than 5% of all such samples have means less than 37. No, it would not be unusual because more than 5% of all such samples have means less than 37. Yes, it would be unusual because more than 5% of all such samples have means less than 37. No, it would not be unusual because less than 5% of all such samples have means less than 37. Suppose x has a distribution with a mean of 40 and a standard deviation of 12. Random samples of size n 64 are drawn. USE SALT (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has -Select- distribution with mean (b) Find the z value corresponding to x = 37. z= and standard deviation a (c) Find Px <37). (Round your answer to four decimal places.) P(x <37) (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 37? Explain. O Yes, it would be unusual because less than 5% of all such samples have means less than 37. No, it would not be unusual because more than 5% of all such samples have means less than 37. Yes, it would be unusual because more than 5% of all such samples have means less than 37. No, it would not be unusual because less than 5% of all such samples have means less than 37.