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## Statistics

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(3.75n = 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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