Suppose x has a distribution with a mean of 70 and a standard deviation of 15 Random samples of size n 36 are drawn USE SALT (a) x has Select Describe the x distribution and compute the mean and standard deviation of the distribution distribution with mean and standard deviation x (b) Find the z value corresponding to x 65 Z (c) Find P(x 65) (Round your answer to four decimal places ) P(x 65) (d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 65 Explain Yes, it would be unusual because less than 5 of all such samples have means less than 65 No, it would not be unusual because more than 5 of all such samples have means less than 65 Yes, it would be unusual because more than 5 of all such samples have means less than 65 No, it would not be unusual because less than 5 of all such samples have means less than 65

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Suppose x has a distribution with a mean of 70 and a standard deviation of 15. Random samples of size n = 36 are

Suppose x has a distribution with a mean of 70 and a standard deviation of 15. Random samples of size n = 36 are drawn. USE SALT (a) x has ---Select--- Describe the x distribution and compute the mean and standard deviation of the distribution. distribution with mean = = and standard deviation x= = (b) Find the z value corresponding to x = 65. Z= (c) Find P(x

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