Posted by **tea** on Monday, March 26, 2012 at 12:50am.

One method for estimating the availability of office space in large cities is to conduct a random sample of offices, and calculate the proportion of offices currently being used. Suppose that real estate agents believe that of all offices are currently occupied, and decide to take a sample to assess their belief. They are considering a sample size of n = 40.

a) Show that this sample size is large enough to justify using the normal approximation to the sampling distribution of p. (2 pts)

b) What is the mean of the sampling distribution of p if the real estate agents are correct? (2pts)

c) What is the standard deviation of the sampling distribution of p if the real estate agents are correct? (4 pts)

d) If the real estate agents are correct, what is the probability that a sample proportion, p, would differ from by as much as 0.05? (8 pts)

## Answer This Question

## Related Questions

- stats - Cushman and Wakefield accounting that the average annual rent for office...
- Algebra - Agents J and K work in a long hallway with 4000 equally-spaced, ...
- geometry - Two rectangular panels are used to construct the four office cubicle...
- statistics - Thirty-two percent of adults did not visit their physicians' ...
- Stat - Label each following situation (P)Parametric or (NP)Non Parametric 1.From...
- math - suppose you are starting an office-clening service. You have spent $315 ...
- algebra - suppose you are starting an office-clening service. You have spent $...
- statistics - Twenty percent of all adult males did not visit their physicians’ ...
- Math - Statistics - The proportion of red M&M's made is 0.24. Suppose one took a...
- math - Suppose you are starting an office-cleaning service. You have spent $315...

More Related Questions