A certain city has 80 blocks. We select a sample of 4 blocks using simple random...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A certain city has 80 blocks. We select a sample of 4 blocks using simple random sampling without replacement. From each block 5 households were drawn randomly without replacement. The number of videocassette recorders (VCR's) in each household were recorded. The data is as follows: Sample block Number of households 1 2 3 4 100 150 80 100 Number of VCR's in sample households 1 1 0 1 2 2 2 1 0 2 M 1 1 0 2 4 1 1 1 1 5 0 2 1 1 Calculate an unbiased estimate of the total number of VCR's in the city. Question 2 [14 marks] (a) Describe briefly how the stratified sampling and cluster sampling techniques differ with respect to the variance of the elements within their respective samples. [2+2 marks] (b) Suppose that in a population with N = 6 and L = 2 the values of yni, i = 1,2,3 are 0, 1, 2 in stratum 1 and 4, 6, 11 in stratum 2. A sample of size n = 4 is to be taken. Show that the optimum nunder Neyman allocation, when rounded to the nearest integers, are n, 1 in stratum 1 and n₁ = 3 in stratum 2. [10 marks] [18 marks] A certain city has 80 blocks. We select a sample of 4 blocks using simple random sampling without replacement. From each block 5 households were drawn randomly without replacement. The number of videocassette recorders (VCR's) in each household were recorded. The data is as follows: Sample block Number of households 1 2 3 4 100 150 80 100 Number of VCR's in sample households 1 1 0 1 2 2 2 1 0 2 M 1 1 0 2 4 1 1 1 1 5 0 2 1 1 Calculate an unbiased estimate of the total number of VCR's in the city. Question 2 [14 marks] (a) Describe briefly how the stratified sampling and cluster sampling techniques differ with respect to the variance of the elements within their respective samples. [2+2 marks] (b) Suppose that in a population with N = 6 and L = 2 the values of yni, i = 1,2,3 are 0, 1, 2 in stratum 1 and 4, 6, 11 in stratum 2. A sample of size n = 4 is to be taken. Show that the optimum nunder Neyman allocation, when rounded to the nearest integers, are n, 1 in stratum 1 and n₁ = 3 in stratum 2. [10 marks] [18 marks]
Expert Answer:
Related Book For
Introduction to Probability
ISBN: 978-0716771098
1st edition
Authors: Mark Daniel Ward, Ellen Gundlach
Posted Date:
Students also viewed these mathematics questions
-
A certain city has three major newspapers, the Times, the Herald, and the Examiner. Circulation information indicates that 47.0% of households get the Times, 33.4% get the Herald, 34.6% get the...
-
Two chips are drawn at random and without replacement from an urn that contains five chips, numbered 1 through 5. If the sum of the chips drawn is even, the random variable X equals 5; if the sum of...
-
Two marbles are drawn at random and without replacement from a box containing two blue marbles and three red marbles. a. List the sample points for this experiment. b. Assign probabilities to the...
-
International Accounting Standard No. 21, "The Effects of Changes in Foreign Exchange Rates," deals with foreign currency. It was originally issued in 1983 and was revised and reissued in 1993 as...
-
National Motors has equipped the ZX-900 with a new disk brake system. We define the stopping distance for a ZX-900 to be the distance (in feet) required to bring the automobile to a complete stop...
-
Enter and execute the following script to move a quantity of 1000 of ProductID from Location 1 to Location 6. Notice that we only have a quantity of 408 in Location 1, so taking away 1000 would...
-
Direct deposit both reduces the costs of and improves control over payroll dis tribution. Does this mean that companies should require all their employees to be paid by direct deposit? Why or why not?
-
In Fig. 29.23 the capacitor plates have area 5.00 cm2 and separation 2.00 mm. The plates are in vacuum. The charging current ic has a constant value of 1.80mA. At t = 0 the charge on the plates is...
-
Use the following information about the current year operations of a company to calculate the cash paid for merchandise. Cost of goods sold Merchandise inventory, January 1 $ 850,000 107,700...
-
3. Location Choice There is a new tech company Humbl", with a single consumer market in town A. Humbl uses two inputs, these are obtained from respectively the cities B and C, which are 600...
-
Find the tangent line equation for the parametric curve represented by the equations x = 2 cos (t+ -) and y = 4 sin t at the point t = -Give 6 your answer in the form y = a bx where a and b are real...
-
A police officer drives his car 8.0 mi north before making right hand turn and driving 9.0 mi to the east. Finally, he makes a left hand turn and travels another 2.0 mi to the north and 14 mi to the...
-
Two point charges q and q2 are held in place 4.50 cm apart. Another point charge -2.05 C of mass 6.00 g is initially located 3.00 cm from each of these charges (the figure(Figure 1)) and released...
-
Download the Early Childhood Professional Resource Guide Template document. Visit the websites for the first three organizations (Center on the Developing Child, NAEYC, and Zero to Three) and...
-
Austral shipbuilding company has been growing at a phenomenal rate of 33 per cent per year because of its rapid expansion and explosive sales in the global market. However, you believe this growth...
-
A boat has a velocity of 4.0 m/s [E] in still water. It is in a river of width 150 m, that has a river velocity of 3 m/s [N]. a) What is the velocity of the boat relative to the shore? b) How far...
-
Consider a stock selling for $ 1 0 0 , with volatility ( standard deviation ) of 3 0 % per year. The stock pays no dividends. The risk - free continuously compounded interest rate is 4 % . The call...
-
Decades after the event, Johnson & Johnson (J&J), the 130-year-old American multinational, is still praised for swiftly The company indicated that its response was based on the expectations set forth...
-
Find (a) The density (y) of y, (b) The conditional density fX|Y(x | y) of X given Y. Let fX,Y(x,y) = 6/7(x + y)2, for 0 x 1, 0 y 1, and fX,Y (x,y) = 0 otherwise.
-
Assume that each password is created I according to Exercise 13.3. If passwords are independent and 10 passwords are I created: a. What is the expected total number of letters which are used? b. What...
-
In a student's music library on his mp3 player, the expected length of a randomly chosen song is 3.2 minutes. a. Find an upper bound on the probability that a randomly chosen song is at least 5...
-
Navarro, Inc., issued \(\$ 250,000\) of eight percent, 20 -year bonds at 98 on June 30, 2012. Interest is payable semiannually on December 31 and June 30. Through June 30, 2018, Navarro amortized...
-
Determine which of the following transactions represent contingent liabilities for June Leasing and indicate the proper accounting treatment at the company's fiscal year-end, by placing the letter of...
-
On December 31, 2017, James, Inc., borrowed \(\$ 300,000\) on a six percent, 20 -year mortgage note payable. The note is to be repaid in equal semiannual installments of \(\$ 12,979\) (beginning July...
Study smarter with the SolutionInn App