Confidence intervals

  • Thread starter cutesteph
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Main Question or Discussion Point

1. Homework Statement
Suppose you receive calls that follow a Poisson process model Y(t).
There are two hypotheses, Hypothesis1: E[Y(t)] = λ1t = 70t and Hypothesis 2: E[Y(t)] = λ2t = 75t. Let t = 30 the number of calls be 2175.

Find and compute a significance level α such that both Hypothesis1 and Hypothesis2 are accepted.



2. Homework Equations

α = P( (u - E[Y] /stdY > c / stdY)


3. The Attempt at a Solution
 
Last edited:

Answers and Replies

  • #2
Simon Bridge
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Good question - how are you attempting the problem?
Presumably you've done problems involving confidence intervals and/or poisson distributon before?
 
  • #3
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Opps, I forgot to type my approach. Since n is big, we can approximate the poisson with the normal.
The variance of a poisson is the same as the expected value.



Or am I suppose to use a two sided test?
 
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  • #4
Simon Bridge
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Well to 68% confidence limits, would you accept both hypotheses?
 

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