1. Questions

statistics

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)

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
tea

  1. a)
    b)1
    c)standard deviation=

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    Fred

  2. c) 0.07246

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    Sunwoo Nam

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    Astronauts in space cannot weigh themselves by standing on a bathroom scale. Instead, they determine their mass by oscillating on a large spring. Supppose an astronaut attaches one end of a large spring to her belt and the other

  2. statistics

    A researcher is interested in estimating the average salary of teachers in a large urban school district. She wants to be 95% confident that her estimate is correct. If the standard deviation is $1050 (σ = 1050), how large of a

  3. Statistics

    You are getting ready to take a sample from a large population, and need to determine the appropriate sample size. You are estimating sales at a large chain of department stores. A previous survey from the same population found a

  4. Social Studies

    How were the Olmec able to support a civilization and cities? A. by implementing heavy taxes to raise public funds for each community B. by constructing residential dwellings for the growing populations in cities C. by cultivating

  1. Workers and the Labor Movement

    How did the Industrial Revolution change American society? A. More Americans were self-employed in city businesses. B. Many Americans moved to farms to work with the new plowing technology. C. A large number of Americans left

  2. science

    Science fiction movies sometimes take place in space and contain scenes where things explode very loudly and brightly. Why is this unrealistic?(1 point) Large explosions are more likely to create seismic waves, not sound and

  3. math

    Q. The rectangular-shaped doctor's office has an area of 120 square feet and a perimeter of 44 feet. What are the dimensions of this office space? - A. Do I add just add 120 by 44??

  4. Operation

    Parsa Real Estate is a company that buys and rents real estate. The company is looking into buying an office building for $1M.Thebuilding has 10,000 square feet of rentable office space. The company analysts predict that they can

  1. Algebra

    On Monday Harold picked up four donuts and two large coffees for the office staff. He paid $4.74. On Tuesday Melinda picked up two donuts and five large coffees for the office staff. She paid $5.93. What is the cost of one donut?

  2. Gov't

    Which of the following is NOT a major function of either of the two major parties in the United States? a. To keep the general public informed about key issues. b. To monitor the conduct of its candidates in office. c. To assure

  3. Trigonometry

    Choose the right expression in terms of a single trigonometric function. cos space x space cos space 2 x space plus space sin space x space sin space 2 x

  4. Physics

    One method of estimating the temperature at the center of the sun is based on the Ideal Gas Law. Assume the center consists of gases whose average M = 0.70 kg/kmol, density= 91000 kg/m3 and pressure = 1.39 x1011 atm. Calculate the

View more similar questions or ask a new question.