A2,..., An are normally and independently Y₁, Y2, ..., Yn are also normally and independently distributed with mean X's and Y's are independent, find the distribution of the following statistics. (If the distribution is normal, specify the mean and variance. If it is chi-square, or F, specify the degrees of freedom.) a) b) Y-μL √ + X(X₁-μ)² Σ(X₁-X)² Σ(Y-Y)² mean and varian (1-x) ¹:30 and variance o², and

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a is in corrected on the new picture u2 u1

If X1, X2, ..., X₁ are normally and independently distributed with mean and variance o², and
Y₁, Y2, ..., Yn are also normally and independently distributed with mean μ and variance o², and
X's and Y's are independent, find the distribution of the following statistics. (If the distribution is
normal, specify the mean and variance. If it is chi-square, or F, specify the degrees of freedom.)
a)
Y-μ
VΕΣ(Χ.-μ)2
Σ(X₁-X)²
Σ(Y-Y)²
©) Σ₁1 (x-1) ²
b)
Transcribed Image Text:If X1, X2, ..., X₁ are normally and independently distributed with mean and variance o², and Y₁, Y2, ..., Yn are also normally and independently distributed with mean μ and variance o², and X's and Y's are independent, find the distribution of the following statistics. (If the distribution is normal, specify the mean and variance. If it is chi-square, or F, specify the degrees of freedom.) a) Y-μ VΕΣ(Χ.-μ)2 Σ(X₁-X)² Σ(Y-Y)² ©) Σ₁1 (x-1) ² b)
)x} (
ܕ
Transcribed Image Text:)x} ( ܕ
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