Suppose that the nine observations X1, , X9 form a random sample from the normal distribution with unknown mean 1 and unknown variance 2, and the nine observations Y1, , Y9 form an independent random sample from the normal distribution with unknown mean 2 and the same unknown variance 2 Let S2X and...

The ratio V S 2 X S 2 Y has the F distribution with ...

Suppose that the nine observations X1, . . . , X9 form a random sample from the

Question:

Suppose that the nine observations X1, . . . , X9 form a random sample from the normal with unknown mean μ1 and unknown variance σ2, and the nine observations Y1, . . . , Y9 form an independent random sample from the normal with unknown mean μ2 and the same unknown variance σ2. Let S2X and S2Y be as defined in Eq. (9.6.2) (with m = n = 9), and let
T = max {S2XS2Y/S2Y/S2X}.
Determine the value of the constant c such that Pr(T > c) = 0.05.
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...