The superintendent of a large school district, having once had a course in probability and statistics, believes that the
Posted: Sun Jul 10, 2022 10:10 am
The superintendent of a large school district, having once had acourse in probability and statistics, believes that the number ofteachers absent on any given day has a Poisson distribution withparameter 𝜇. Use the accompanying data on absences for 50 daysto obtain a 95% large-sample CI for 𝜇.
[Hint: The mean and variance of a Poisson variable bothequal 𝜇, so
Z =
has approximately a standard normal distribution. Now proceed asin the derivation of the interval for p bymaking a probability statement (withprobability 1 − 𝛼) and solving the resultinginequalities for 𝜇.] (Round your answers to two decimalplaces.)
[Hint: The mean and variance of a Poisson variable bothequal 𝜇, so
Z =
has approximately a standard normal distribution. Now proceed asin the derivation of the interval for p bymaking a probability statement (withprobability 1 − 𝛼) and solving the resultinginequalities for 𝜇.] (Round your answers to two decimalplaces.)