Suppose the mean height in the inner-city group is known to be 66.5 inches.
Find the power of the test .
It is believed that the number of emergency room visits on Friday nights at
hospitals follows a Poisson distribution with
ì =
12. Suppose that 30 Friday nights
are sampled and the number of emergency room visits
(X)
are recorded at a particular
hospital.
(a) The hospital administration will conclude that the ER is seeing fewer patients
than other hospitals if
X
11. Use the central limit theorem to approximate
the probability that this conclusion is made when, in reality, the hospital is not
different from the general population of hospitals. What type of error occurs if
this conclusion is made?
(b) Actually, the number of ER visits on Friday nights does not follow a Poisson
distribution but instead follows an unknown distribution with
ì =
12 and
ó
= 5. Using the central limit theorem, re-compute the probability found in
(a).