3) It can be shown that for a random sample of size n from an exponential distribution with mean 0, the quantity 210 n ΣXi i=1 is distributed as Chi-square distribution with r = 2n degrees of freedom. Use this fact to obtain a 90% confidence interval for if n 10 and ₁ X₁ = 32. =

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(8) It can be shown that for a random sample of size n from an exponential distribution
with mean 0, the quantity
2
Ө
n
i=1
Xi
with r = 2n degrees of freedom. Use this
₁ X₁ = 32.
10
i=1
is distributed as Chi-square distribution
fact to obtain a 90% confidence interval for 0 if n = 10 and
Transcribed Image Text:(8) It can be shown that for a random sample of size n from an exponential distribution with mean 0, the quantity 2 Ө n i=1 Xi with r = 2n degrees of freedom. Use this ₁ X₁ = 32. 10 i=1 is distributed as Chi-square distribution fact to obtain a 90% confidence interval for 0 if n = 10 and
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