Math Solutions

[Step-by-Step] Let Z_1, Z_2, ..., Z_16 be an independent random sample of size 16 from N(0,1), and let Y_1, Y_2, ..., Y_64 be another independent random sample

Question: Let \(Z_{1}, Z_{2}, \ldots, Z_{16}\) be an independent random sample of size 16 from \(N(0,1)\), and let \(Y_{1}, Y_{2}, \ldots, Y_{64}\) be another independent random sample of size 64 from \(N(\mu, 1)\) and The two samples are independent.

  1. Find c such that:
    \[c \frac{\sum_{i=1}^{16} Z_{i}^{2}}{U} \sim F_{16,80}\]
  2. What should \(U\) be to make part a valid random variable.
  3. Let \(W \sim \chi_{60}^{2}\). Find \(\mathrm{c}\) such that:
\[P\left(\frac{Z_{1}}{\sqrt{W}}
Price: $2.99
Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document


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