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As the sample size increases, the sampling error ..... while the nonsampling error ..............Question 15Answera.decreases, remains unchangedb.remains unchanged, decreasesc.remains unchanged, decreasesd.increases, decreases

Question

As the sample size increases, the sampling error ..... while the nonsampling error ..............Question 15Answera.decreases, remains unchangedb.remains unchanged, decreasesc.remains unchanged, decreasesd.increases, decreases

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Solution

The correct answer is a. As the sample size increases, the sampling error decreases, while the nonsampling error remains unchanged.

Here's why:

  1. Sampling error: This is the error that occurs due to the variation in the observations being studied. It is caused by observing a sample instead of the whole population. As the sample size increases, the sample becomes a better representation of the population, hence the sampling error decreases.

  2. Nonsampling error: This is the error that occurs due to factors other than the sample size, such as data collection methods, response errors, etc. These errors are not affected by the sample size, hence they remain unchanged as the sample size increases.

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