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Suppose y1 y2 y100 are a sample of 100 independent and

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Reference no: EM13378042

Suppose Y1, Y2, ..., Y100 are a sample of 100 independent and identically distributed random variables with a mean of 0 and a variance of 25.

Define a variable Z that is a function of the sample average and follows a standard normal distribution.

What is the probability that will be in the interval [1, 3]

What is the probability that  will be in the interval [-1, 1]

What is the probability that the number 0 will be in the interval [ ? -1, ? +1]

What is the probability that the number 2 will be in the interval [ ? -1, ? +1]

Suppose you want to create an interval of the form [ ? -h, ? +h] that contains 0 with a 95% probability.

What value of h do you have to choose?

Suppose you want to create an interval of the form [ ? -h, ? +h] that contains 0 with a 90% probability.

Reference no: EM13378042

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