Find mean nd standard deviation of the sampling distribution

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Reference no: EM13234762

Independent random samples of 64 observations each are chosen from two normal distributions with the following means and standard deviations.
population 1
u1 = 12
o1 = 4
population 2:
u2=10
o2 = 3

let xbar1 and xbar2 denote the two sample means.

a) Give the mean and standard deviation of the sampling distribution of xbar1.

b) Give the mean and standard deviation of the sampling distribution of xbar2.

c) Suppose you were to calculate the difference between the sample means (xbar1-xbar2). Find the mean and standard deviation of the sampling distribution of (xbar1-xbar2).

d) Will the statistic (xbar1-xbar2) be normally distributed? Explain.

Reference no: EM13234762

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