have data, want to conduct hypothesis test using a normal approximation to the poission distribution, H0: mean=1 H1: mean>1 thanks for the help
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I assume you have a sample and just want to standardize it.... Use $\displaystyle {\bar X-\mu\over \sigma/\sqrt{n}}$ as your test statistic Here $\displaystyle \lambda=\mu=\sigma^2$ Under the null $\displaystyle \lambda=\mu=\sigma^2=1$
how would i calculate lamba from the data though, thanks
the sample estimate of lambda WOULD be the sample mean, for say confidence intervals. BUT here you are assumming, under the null, that lambda which is the mean is ONE SO use $\displaystyle {\bar X-1\over 1/\sqrt{n}}$ as your test statistic
aha ok i understand thanks a lot
BUT n must be large
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