Question: Use R or thoery: Let X1, . . . , X12 be a random sample of size 12 from the U(0, 1) distribution. Explain why

Use R or thoery:

Let X1, . . . , X12 be a random sample of size 12 from the U(0, 1) distribution. Explain why Z = X1 + X2 + + X12 - 6 has an approximate standard normal distribution. You can either prove this theoretically by using CLT, or can use a simulation. You will have to find or look up the variance of a single Xi

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