Suppose Y1, Y2, ..., Y100 are a sample of 100 independent and identically distri

ID: 1179254 • Letter: S

Question

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 Ybar and follows a standard normal distribution.

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

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

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

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

Suppose you want to create an interval of the form [ Ybar -h, Ybar+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 [ Ybar-h, Ybar +h] that contains 0 with

a 90% probability. What value of h do you have to choose?

Answer question

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.