Suppose an x distribution has mean μ = 4. Consider two corresponding x distributions, the first based on samples of size n = 49 and the second based on samples of size n = 81. (a) What is the value of the mean of each of the two x distributions? For n = 49, μ x = For n = 81, μ x = (b) For which x distribution is P( x > 5) smaller? Explain your answer. The distribution with n = 49 because the standard deviation will be larger. The distribution with n = 81 because the standard deviation will be larger. The distribution with n = 81 because the standard deviation will be smaller. The distribution with n = 49 because the standard deviation will be smaller. (c) For which x distribution is P(3 < x < 5) greater? Explain your answer. The distribution with n = 81 because the standard deviation will be larger. The distribution with n = 81 because the standard deviation will be smaller. The distribution with n = 49 because the standard deviation will be smaller. The distribution with n = 49 because the standard deviation will be larger.
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