Question: Suppose an x distribution has mean=5. Consider two correspondingxdistributions, the first based on samples of size n = 49 and the second based on samples

Suppose anxdistribution has mean=5. Consider two correspondingxdistributions, the first based on samples of sizen= 49 and the second based on samples of sizen= 81.(a) What is the value of the mean of each of the two xdistributions?

Forn= 49,_x=

Forn= 81,_x=

(b) For which xdistribution isP( x>6.25) smaller? Explain your answer. The distribution withn= 49 because the standard deviation will be larger.The distribution withn= 81 because the standard deviation will be larger.The distribution withn= 81 because the standard deviation will be smaller.The distribution withn= 49 because the standard deviation will be smaller. (c) For which xdistribution isP(3.75< x<6.25) greater? Explain your answer. The distribution withn= 81 because the standard deviation will be larger.The distribution withn= 49 because the standard deviation will be larger.The distribution withn= 81 because the standard deviation will be smaller.The distribution withn= 49 because the standard deviation will be smaller.

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