Suppose that X1, , Xm form a random sample from the normal distribution with mean 1 and variance 21, and Y1, , Yn form an independent random sample from the normal distribution with mean 2 and variance 22 Show that if 1 2 and 22 k21, then the random variable U defined by Eq (9 6 13) has the t distr...

The random variable has a normal distribution with mean 0 a ...

Suppose that X1, . . . , Xm form a random sample from the normal distribution with

Question:

Suppose that X1, . . . , Xm form a random sample from the normal with mean μ1 and variance σ21, and Y1, . . . , Yn form an independent random sample from the normal with mean μ2 and variance σ22. Show that if μ1 = μ2 and σ22 = kσ21, then the random variable U defined by Eq. (9.6.13) has the t with m + n − 2 degrees of freedom. Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...