Suppose x has a distribution with a mean of 90 and a standard deviation of 28....

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Suppose x has a distribution with a mean of 90 and a standard deviation of 28. 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. xhas -Select--- distribution with mean = (b) Find the z value corresponding to x = 83. z= and standard deviation = (c) Find P(x <83). (Round your answer to four decimal places.) Px83)= (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 83? Explain. Yes, it would be unusual because less than 5% of all such samples have means less than 83. No, it would not be unusual because more than 5% of all such samples have means less than 83. Yes, it would be unusual because more than 5% of all such samples have means less than 83. No, it would not be unusual because less than 5% of all such samples have means less than 83. Suppose x has a distribution with a mean of 90 and a standard deviation of 28. 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. xhas -Select--- distribution with mean = (b) Find the z value corresponding to x = 83. z= and standard deviation = (c) Find P(x <83). (Round your answer to four decimal places.) Px83)= (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 83? Explain. Yes, it would be unusual because less than 5% of all such samples have means less than 83. No, it would not be unusual because more than 5% of all such samples have means less than 83. Yes, it would be unusual because more than 5% of all such samples have means less than 83. No, it would not be unusual because less than 5% of all such samples have means less than 83.