b) Let Z₁ = X-x~N (0,1), and Wi σχ YHY~N(0,1), for i=1,2,3,...,10, then: ay i) State, with parameter(s), the probability distribution of the statistic, T = W₁2 Σ117,3 iii) Calculate the probability that a statistic T = Z₁ + W₁ is at most 4. ii) Find the mean and variance of the statistic T =

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b)
X-XN (0,1), and W₁
σχ
YHYN(0,1), for i=1,2,3,...,10, then:
Let Z₁ =
i) State, with parameter(s), the probability distribution of the statistic, T =
ay
10
ΣW2
√Σt,w₁²
ii) Find the mean and variance of the statistic T =
10
Σ{12/2
iii) Calculate the probability that a statistic T = Z₁ + W₁ is at most 4.
iv) Find the value of ß such that P(T> B) = 0.01, where T = E₁Z²+₁ W².
Transcribed Image Text:b) X-XN (0,1), and W₁ σχ YHYN(0,1), for i=1,2,3,...,10, then: Let Z₁ = i) State, with parameter(s), the probability distribution of the statistic, T = ay 10 ΣW2 √Σt,w₁² ii) Find the mean and variance of the statistic T = 10 Σ{12/2 iii) Calculate the probability that a statistic T = Z₁ + W₁ is at most 4. iv) Find the value of ß such that P(T> B) = 0.01, where T = E₁Z²+₁ W².
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