Reference no: EM13176886
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.
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