Question: Suppose an x distribution has mean = 2 . Consider two corresponding x distributions, the first based on samples of size n = 49 and

Suppose anxdistribution has mean=2. Consider two correspondingx

distributions, 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 twox

distributions?

Forn= 49,x=

Forn= 81,x=

(b) For whichx distribution isP(x >2.5) smaller? Explain your answer.

The distribution withn= 49 because the standard deviation will be smaller.

The distribution withn= 81 because the standard deviation will be smaller.

The distribution withn= 81 because the standard deviation will be larger.

The distribution withn= 49 because the standard deviation will be larger.

(c) For whichx distribution isP(1.5<x <2.5) greater? Explain your answer.

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= 81 because the standard deviation will be larger.

The distribution withn= 49 because the standard deviation will be smaller.

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