Statistics
posted by ruth .
Suppose X1;X2;...;X5 is a random sample from a n(0; variance) distribution. define
U = X1+X2+X3+X4;
V = (X2)^2+(X3)^2+(X4)^2+(X5)^2
and W = U/sqrtV.
(a) Name the distribution of U/4 and V/(variance) and give the values of their parameters.
(b) (i) Compute k such that kW has a tdistribution.
(ii) Give the number of degrees of freedom of this tdistribution.
(c) Compute E(V).
Respond to this Question
Similar Questions

stat
Which of the following statements is true about the tdistribution with k degrees of freedom? 
Statistics
Suppose that the probability distribution of a random variable x can be described by the formula P(x) = x/15 For each of the values x = 1, 2, 3, 4, and 5. For examples, then, p(x=2) = p(2) = 2/15 a Write out the probability distribution … 
Statistics
Suppose that the probability distribution of a random variable x can be described by the formula P(x) = x/15 For each of the values x = 1, 2, 3, 4, and 5. For examples, then, p(x=2) = p(2) = 2/15 a Write out the probability distribution … 
Statistics
Assume a population of any 4 numbers(suppose: 4,8,15,19). Select a random sample of size 2 with replacement from the population. List all the possible samples and their corresponding values of x̄ “xbar” and then find the … 
Statistics
Which of these statements is not true about the variance in a binomial distribution B(n, p)? 
statistics
Suppose we take a random sample of size n from a normal population with variance, σ2 . It can be shown that (n−1)s2/σ2 has a chisquare distribution with n−1 degrees of freedom, where s is the sample variance. … 
Statistics
If the population is normally distribution then the sample must be normally distributed even for small sample size? 
Probability
Let T1,T2,…,Tn be i.i.d. observations, each drawn from a common normal distribution with mean zero. With probability 1/2 this normal distribution has variance 1, and with probability 1/2 it has variance 4. Based on the observed values … 
Probability
Let T1,T2,…,Tn be i.i.d. observations, each drawn from a common normal distribution with mean zero. With probability 1/2 this normal distribution has variance 1, and with probability 1/2 it has variance 4. Based on the observed values … 
Statistics
You are interested in estimating the mean of a population. you plan to take a random sample from the population and use the samples mean as an estimate of population mean. Assuming that the population from which you select your sample …