et Y₁, Y2, ..., Yn be a random sample whose probability density function is given by 0 0 elsewhere and suppose that n = 200, Σ²0y₁ = 20, Σ²00 y² = 100, ²00 y³ = 250 and ß = 0.025. Σ?v 33 f(y; B) = 684 e 0, Find an approximate 95% Confidence interval for ß.

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3b.STATISTICAL INFERENCE

Let Y₁, Y₂, ..., Yn be a random sample whose probability density function is given by
y³
f(y; B) =
-7.
0 <y <∞o and ß > 0
0,
elsewhere
and suppose that n = 200, ²yi = 20, Σ? y = 100, 200² = 250 and  = 0.025.
200
¹200
2
3
684
i) Find an approximate 95% Confidence interval for B.
Transcribed Image Text:Let Y₁, Y₂, ..., Yn be a random sample whose probability density function is given by y³ f(y; B) = -7. 0 <y <∞o and ß > 0 0, elsewhere and suppose that n = 200, ²yi = 20, Σ? y = 100, 200² = 250 and  = 0.025. 200 ¹200 2 3 684 i) Find an approximate 95% Confidence interval for B.
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