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Suppose an x distribution has mean μ = 3. Consider two corresponding x distributions, the first...

Suppose an x distribution has mean μ = 3. 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, μx = ?

For n = 81, μx= ?

(b) For which x distribution is P(x > 3.75) smaller? Explain your answer.

a. The distribution with n = 81 because the standard deviation will be larger.

b. The distribution with n = 81 because the standard deviation will be smaller.

c. The distribution with n = 49 because the standard deviation will be smaller.

d. The distribution with n = 49 because the standard deviation will be larger.

(c) For which x distribution is P(2.25 < x < 3.75) greater? Explain your answer.

a. The distribution with n = 49 because the standard deviation will be larger.

b. The distribution with n = 81 because the standard deviation will be smaller.

c. The distribution with n = 81 because the standard deviation will be larger.

d. The distribution with n = 49 because the standard deviation will be smaller.

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Answer #1

a) For n = 49, μx = 3

For n = 81, μx = 3

b) The distribution with n = 81 because the standard deviation will be smaller.

c) The distribution with n = 81 because the standard deviation will be smaller.

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