For a stratified sampling from a population with three strata and the variable of interest Y:
Stratum 1: Stratum Size = N1, Sample Size = n1 = 20, Sample Mean of Y values = 50.
Stratum 2: Stratum Size = N2, Sample Size = n2 = 10, Sample Mean of Y values = 30.
Stratum 3: Stratum Size = N3, Sample Size = n3 = 25, Sample Mean of Y values = 40.
The population size is N = N1 + N2 + N3 . The weights are N1/N = 0.45, N2/N = 0.20 and N3/N = 0.35.
Calculate the numerical value of the estimate of Population Mean based on the above sample data information.
For a stratified sampling from a population with three strata and the variable of interest Y:...
stratified random sampling question :
+ s2019/ 3. To estimate the total of the number of socio-democratic seats (SDS), y in a municipal council, the population was stratified into four strata using the total number seats in the municipal council. Some information about these strata is given in the following table. Population Sample Number of N. ΣνΗ seats 31-40 756 44 1,647 13,784 72.223 89 441 41-50 168 3.383 9,735 51 -70 56 1,545 617 44,529 24,137 250 8.294 71-...
3. To estimate the total of the number of socio-democratic seats (SDS), y in a municipal council, the population was stratified into four strata using the total number seats in the municipal council. Some information about these strata is given in the following table. Population Sample Number of N NA 7 2 seats k-l k=l kl 1,647 9,735 8,294 5,294 756 31 -40 44 13,784 72,223 44,529 24,137 89 3,383 441 41 -50 168 51 -70 56 1,545 250 71...
3. To estimate the total of the number of socio-democratic seats (SDS), y in a municipal council, the population was stratified into four strata using the total number seats in the municipal council. Some information about these strata is given in the following table. Population Sample Number of N NA 7 2 seats k-l k=l kl 1,647 9,735 8,294 5,294 756 31 -40 44 13,784 72,223 44,529 24,137 89 3,383 441 41 -50 168 51 -70 56 1,545 250 71...
A sample of 692 families was selected from a large region to
determine, among other things, the proportion of families with
vegetable gardens. The families were classified into three strata -
urban, rural non farm and farm - because these groups were expected
to show differences in the frequency and size of vegetable gardens.
The sampling fraction was roughly the same in all strata, a sample
of 1 per 1000 being aimed at. The values of the population weights
(Wi),...
Question 1. Consider a stratified design composed of H strata of size Nh, h = 1,...,H. We want to estimate the population mean µy of the characteristic y. Let µx,h, h =1,...,H be the means in the strata (in the population) of an auxiliary characteristic x. The µx,h are supposedly known and we propose to estimate µy using the following estimator: b µD = yst +µx −xst where yst and xst are the basic estimate of the population means µy...
1. Consider the following population of N 5 sampling units with characteristic of interest y Sampling unit i1 2 3 4 5 6 24 18 12 30 yi (a) (2 marks). Compute the population mean μ and the population variance ? 4 marks). List all ten simple random samples of size n 3 and compute the sample mean ý and the sample variance s2 of each sample. (c) (3 marks). Verify numerically that tively. That is, verify that E(j) and...
Using the trees data (in R) with volume as the variable of interest (y = trees$Volume) use simulation to compare random sampling without replacement (SRS) with the design random sampling with replacement for estimating the population mean. Use sample size n = 12 for each strategy. Estimate the population mean with the sample mean (nominal sample mean in the with-replacement case). To compare the strategies, use histograms, qqplots, calculations of mean of estimators, and mean square errors of estimators. Write...
A. We have 3 stratums with σ12=15,σ22=225,σ32=100. Estimate the total population τ with bound of error 400. Choose appropriate sample size and equal number of observations taken from each stratum. B. The company want to evaluate the population mean in county with 3 cities. They chose 3 stratums in each of the cities. The σ1,σ2,σ3 are resp. 5,15 and 10. Bond of error is 2. The cost for obtaining observation in all areas is the same. Find the appropriate sample...
6. The sampling distribution of the sample proportion Aa Aa In 2007, about 14% of new-car purchases in New York were financed with a home equity loan. [Source: "Auto Industry Feels the Pain of Tight Credit," The New York Times, May 27, 2008.] The ongoing process of new-car purchases in New York can be viewed as an infinite population Define p as the proportion of the population of new-car purchases in New York that are financed with a home equity...
When samples of size n are drawn from a population, then the sampling distribution of the sample mean X̄ is approximately normal, provided that n is reasonably large. a. True b. False The interval estimate 18.5±2.5 is developed for a population mean in which the sample standard deviation s is 7.5. Had s equaled 15 instead, the interval estimate would be 37±5.0. a. True b. False