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Suppose an x distribution has mean μ = 5. 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>6.25) 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(3.75<x<6.25) greater? Explain your answer. The distribution with n = 81 because the standard deviation will be larger. The distribution with n = 49 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.
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