Question:
Let \( X_1, X_2, \ldots, X_{20} \) be a random sample from the \( N(5, 2) \) distribution, and let \( Y_i = X_{2i} - X_{2i-1} \) for \( i = 1, 2, \ldots, 10 \). Then \( W = \frac{1}{4} \sum_{i=1}^{10} Y_i^2 \) has the distribution:
Let \( X_1, X_2, \ldots, X_{20} \) be a random sample from the \( N(5, 2) \) distribution, and let \( Y_i = X_{2i} - X_{2i-1} \) for \( i = 1, 2, \ldots, 10 \). Then \( W = \frac{1}{4} \sum_{i=1}^{10} Y_i^2 \) has the distribution:
Updated On: Oct 1, 2024
- \( t_{20} \) distribution
- \( \chi^2_{20} \) distribution
- \( \chi^2_{10} \) distribution
- \( N(250, 20) \) distribution
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The Correct Option is C
Solution and Explanation
The correct option is (C): \( \chi^2_{10} \) distribution
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