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The range of confidence interval becomes smaller as the population variance ............ and the sample size ................Question 1Answera.increases, decreasesb.decreases, decreasesc.decreases, increasesd.increases, increases

Question

The range of confidence interval becomes smaller as the population variance ............ and the sample size ................Question 1Answera.increases, decreasesb.decreases, decreasesc.decreases, increasesd.increases, increases

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Solution

The correct answer is c. decreases, increases.

Here's why:

  1. The range of a confidence interval is influenced by the standard deviation (or variance) of the population. If the population variance decreases, the range of possible values in the confidence interval also decreases. This is because there is less spread or variability in the data, making the estimate more precise.

  2. The sample size also affects the range of the confidence interval. As the sample size increases, the range of the confidence interval decreases. This is because a larger sample size provides more information about the population, reducing the uncertainty and thus the range of possible values in the confidence interval.

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