# Confidence intervals

1. Dec 1, 2013

### cutesteph

1. The problem statement, all variables and given/known data
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. Relevant equations

α = P( (u - E[Y] /stdY > c / stdY)

3. The attempt at a solution

Last edited: Dec 1, 2013
2. Dec 1, 2013

### Simon Bridge

Good question - how are you attempting the problem?
Presumably you've done problems involving confidence intervals and/or poisson distributon before?

3. Dec 1, 2013

### cutesteph

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?

Last edited: Dec 2, 2013
4. Dec 1, 2013

### Simon Bridge

Well to 68% confidence limits, would you accept both hypotheses?