1. What is the relationship between sampling error and sample size? What is the relationship between...
1. What is the relationship between sampling error and sample size? What is the relationship between the standard error and sample size? Does these relationships make sense? Why or why not?
2. Suppose a business is collecting sample data. What considerations might be important in determining what sample size should be used?
Homework Answers
1) Sampling error is the deviation of the selected sample from true characteristics. So if we select a sample of small size the chance of sampling error may be high because that sample will not represent the true characteristics of the population.
Standard error is standard deviation divided by square root of sample size. So if sample size increases standard error decreases .This is an inverse relationship. This relationship make sense because as sample size increases the variability decreases and standard error is standard deviation of sampling distribution . So if we increase sample size the variability in sampling distribution get decreased.
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