b) *-*~N(0,1), and W₁=~N(0,1), for i=1,2,3,...,10, then: oy Let Z₁ = σχ i) State, with parameter(s), the probability distribution of the statistic, T = ² Σ₁W₁² ² 10 21, 2,2 ° iii) Calculate the probability that a statistic T = Z₁ + W₁ is at most 4. ii) Find the mean and variance of the statistic T =

MATLAB: An Introduction with Applications
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b)
Let Z₁ =
*-*~N(0,1), and W₁=Y~N(0,1), for i = 1,2,3,...,10, then:
σχ
oy
i) State, with parameter(s), the probability distribution of the statistic, T = ²
Σ{wi
Σ{12,2 °
10
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 = Σlº₁Z₁² + Σº₁ W₁².
ii) Find the mean and variance of the statistic T =
Transcribed Image Text:b) Let Z₁ = *-*~N(0,1), and W₁=Y~N(0,1), for i = 1,2,3,...,10, then: σχ oy i) State, with parameter(s), the probability distribution of the statistic, T = ² Σ{wi Σ{12,2 ° 10 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 = Σlº₁Z₁² + Σº₁ W₁². ii) Find the mean and variance of the statistic T =
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