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1. Let Yi and Yn be, respectively, the first and nth order statistics of a random sample of size n from a distribution of the continuous type having distribution function }{x). Find the smallest value of n such that Pr [}{Yn) - F( Yi ) 0.5] is at least 0.95.
2. Let Y2 and Y,,-= i denote the second and the (n - 1)st order statistics of a random sample of size n from a distribution of the continuous type having distribution function }{x). Compute Pr [}{Y,, _ i ) -}{Y2 ) > p], where O <>I.
a test of a two-tail hypothesis rejects the null hypothesis at the 5 level of significance. what will the decision be
Create a hypothesis test which will investigate the variances. Label all steps for your test and show and label each step of the test procedure at a .1 level of significance.
A researcher predicts that watching a film on institutionalization will change students' attitudes about chronically mentally ill patients.
What signified to you on all of the problems that required a normal distribution that you were to use a normal distribution? Which problems required a normal distribution?
Suppose a single die is rolled once. You win $5 if a 1 or a 3 comes up, win $12 if a 5 comes up and lose $10 if a 2, 4, or 6 come up. What does the expected value tell you about the game?
Suppose that you have a bag filled with 50 marbles, 15 of which are green. What is the probability of choosing exactly 3 green marbles if a total of 10 marbles are selected?
The pie chart below shows the distribution of the citizens' answers. If there are citizens in the community, how many chose Birds, Hamsters, or Dogs?
john conducted his study to measure self-esteem among victims of domestic violence before and after they complete an
What is the expected value and variance of daily revenue (Y) from the machine, if X, the number of cans sold per day has E(X)=125, and Var(X)=50?
Find the equation of least -squares line and plot the line on the scatter diagram of part (a)
the university of iowa is experimenting with a blend of soil amendments to be used in an analysis of variance study of
The Niko Electronics Company has just manufactured 5000 CDs, and 3% are defective. If 10 of the CDs are selected and tested, what is the probability that the entire batch will be rejected?
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