What does the formula for optimum allocation tell us about which strata should be moreheavily sampled?8.a)366b)what are the biggest advantages of cluster sampling?c)d)のりe)f)Give as many reasons as you can think of for why you might want to stratify.Under what conditions does stratified random sampling produce the greatest gains inprecision over SRS?What criteria should you keep in mind when choosing strata?When would you consider using ratio estimation in a SRS?

The formula for optimal allocation, which is nh=nNhSh∑Hi=1NiSi , tells us that strata with larger…

Answered: What does the formula for optimum…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a survey about the use of annual pass to a theme park, each interviewee is asked about the number of visits to the theme park in a year. Below is the result from 500 randomly selected annual pass card holders. Number of visits 3 4 5 6 7 8 Number of interviewees 52 165 110 88 55 30 (a) Find the point estimate of the population proportion of annual pass holders have visited the theme park at least 6 times in a year. (b) Calculate the sampling error at 95% confidence level. (c) Construct a 95% confidence interval estimate of the population proportion of annual pass holders have visited the theme park at least 6 times in a year.
Ideally, in stratified sampling, the members of each stratum should be ________ relative to the characteristic under consideration.
Let's examine the mean of the numbers 1, 2, 3, 4, 5, 6, 7, and 8 by drawing samples from these values, calculating the mean of each sample, and then considering the sampling distribution of the mean. To do this, suppose you perform an experiment in which you roll an eight-sided die two times (or equivalently, roll two eight-sided dice one time) and calculate the mean of your sample. Remember that your population is the numbers 1, 2, 3, 4, 5, 6, 7, and 8. The true mean (µ) of the numbers 1, 2, 3, 4, 5, 6, 7, and 8 is , and the true standard deviation (o) is The number of possible different samples (each of size n = 2) is the number of possibilities on the first roll (8) times the number of possibilities on the second roll (also 8), or 8(8) = 64. If you collected all of these possible samples, the mean of your sampling distribution of means (µM) would equal and the standard deviation of your sampling distribution of means (that is, the standard error or ɑm) would be The following chart…
1. Sample data about the listing price of a house is collected from Surrey, Guilford area in 2022 and the data is given below. Using the data answer the following questions: N 1 2 3 4 5 Listing Price 1049900 11 1229000 1049900 12 1230000 1050000 13 1075000 14 1298999 1299000 1299000 1075000 15 16 1398000 1078800 1179000 17 18 1398000 1399000 1188000 1188000 19 1449900 1225000 20 1450000 a. What is the mean listing price of a home? b. Generate appropriate numerical summaries for the listing price of a home, the sample standard deviation, etc. 6 7 8 9 10 Listing Price N Listing Price 21 1450000 22 1450000 23 1469900 24 1475000 25 1475000 26 1480000 1499000 27 28 1499000 29 1499233 30 1499900 N C. Use these summaries to develop a 95% confidence interval to estimate the mean listing price of a house in your selected city. That is, you will be using the sampling data you collected to estimate the population parameter (listing price). Make sure to show both your calculations and a final…
You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey? Assume that you want to be 90% confident that the sample percentage is within 5.5 percentage points of the true population percentage. Complete parts (a) and (b) below. a. Assume that nothing is known about the percentage of passengers who prefer aisle seats. (Round up to the nearest integer.) b. Assume that a prior survey suggests that about 38% of air passengers prefer an aisle seat. (Round up to the nearest integer.)
1. Compare and contrast each of these sampling methods. Give examples for each one of them. a. cluster sampling b. stratified sampling c. snowball sampling

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