Consider estimating the mean of the population of hospital

Chapter , Problem 15

(choose chapter or problem)

Get Unlimited 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 \(P(|\bar{X}-\mu|>\Delta) \approx .50\).

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,

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back