MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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What is sampling error, and how would you distinguish it from nonsampling error?
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- 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…arrow_forwardThe students in an Introductory Statistics class are asked to complete a survey about study habits. (a) does the study appear to use random sampling? yes or no (b) does the study appear to use random assignment? yes or noarrow_forwardKnowing that you need a sample pool of 536 students to ultimately get about 250 students in your sample, you are in position to draw a systematic sample from the student directory at your university. Further, 5,000 students are listed in the directory. What is the sampling interval?arrow_forward
- Can you help me identify the method of sampling used? (simple random, Systematic, Stratified, cluster, or convenience) A local school district contains 11 elementary schools. To obtain a sample of elementary school students, 4 of the 11 schools are randomly selected in all students in the selected schools are used in the sample.arrow_forwardA worker wants to determine the average weight of fish fillets in his freezer. There are hundreds of boxes of fillets in the freezer with each box containing 15 fillets. He randomly selects 10 boxes of fish at random and pools all fillets in the 10 chosen boxes together as his sample. Is this simple random sampling, stratified sampling, or cluster sampling?arrow_forwardFrom a population of 300 you are going to select 50. Using the systematic sampling technique where 5 is the random start, what is the 4th sample unit?arrow_forward
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