Suppose x has a distribution with a mean of 70 and a standard deviation of 9. Random samples of size n = 36 are drawn. USE SALT (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has an approximately normal distribution with mean = (b) Find the z value corresponding to x = 67. Z = and standard deviation ; (c) Find P(x < 67). (Round your answer to four decimal places.) P(x < 67) = (d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 67? Explain. Yes, it would be unusual because less than 5% of all such samples have means less than 67. No, it would not be unusual because more than 5% of all such samples have means less than 67. Yes, it would be unusual because more than 5% of all such samples have means less than 67. No, it would not be unusual because less than 5% of all such samples have means less than 67.