# Statistical Quality Control-Concepts of ATI (ISS (Statistical Services) Statistics Paper II (Old Subjective Pattern)): Questions 1 - 1 of 1

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## Question number: 1

» Statistical Quality Control » Concepts of ATI

Appeared in Year: 2015

### Describe in Detail

For a sequential probability ratio test of strength (α, β) and stopping bounds are A and B (B < A), show that A ≤ 1-β/α and B ≥ β/1-α

### Explanation

Let X= (X _{1}, …, X _{k}) and also let E _{k} be the set of all points in k dimensional Euclidean space R _{k}, for which we reject H _{0} using the sequential probability ratio test. Also, let F _{k } be the set of all points in R _{k} for which we accept H _{0}. Notice that (E _{k}, k = 1, 2, …) are mutually disjoint and (F _{k}, k = 1, 2, …) are also mutually disjoint. As…

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