Solution Found!
Consider estimating the mean of the population of hospital
Chapter , Problem 15(choose chapter or problem)
Consider estimating the mean of the population of hospital discharges (Example A of Section 7.2) from a simple random sample of size n. Use the normal approximation to the distribution of \(\bar{X}\) in answering the following:
a. Sketch \(P(|\bar{X}-\mu|>200)\) as a function of n for \(20 \leq n \leq 100\).
b. For n = 20, 40, and 80, find \(\Delta\) such that \(P(|\bar{X}-\mu|>\Delta) \approx .10\). Similarly, find \(\Delta\) such that \(P(|\bar{X}-\mu|>\Delta) \approx .50\).
Questions & Answers
QUESTION:
Consider estimating the mean of the population of hospital discharges (Example A of Section 7.2) from a simple random sample of size n. Use the normal approximation to the distribution of \(\bar{X}\) in answering the following:
a. Sketch \(P(|\bar{X}-\mu|>200)\) as a function of n for \(20 \leq n \leq 100\).
b. For n = 20, 40, and 80, find \(\Delta\) such that \(P(|\bar{X}-\mu|>\Delta) \approx .10\). Similarly, find \(\Delta\) such that \(P(|\bar{X}-\mu|>\Delta) \approx .50\).
ANSWER:Step 1 of 6
From the information, observe that estimating the mean of the population of hospital discharge from a simple random sample of size .
a)
Sketch as a function of for
From the example, observe that the population of hospital discharges is 393 The standard deviation of the discharges is 589.7
Now,