Suppose x has a distribution with a mean of 8 and a standard deviation of 16. Random samples of size n = 64 are drawn. Describe the x bar distribution and compute the mean and standard deviation of the distribution. The x bar distribution is non-linear. The x bar distribution is normal. The x distribution is linear. Mu_x bar = sigma_x bar = Find the z value corresponding to x bar = 9. z value = Find P(x bar > 9) using the standard normal probabilities tables. P(x bar > 9) = Would It be unusual for a random sample of size 64 from the x distribution to have a sample mean greater than 9? Yes, about 30% of all such samples have means less than 9. No, about 30% of all such samples have means exceeding 9.
