If the population variance is increased and other factors are the same, the width of a confidence interval for the population mean tends to increase.

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Alissa Evilsizor · Accepted Answer

Final Answer : True, Explanation :  When the population variance is increased, the standard error of the mean also increases, which leads to a wider confidence interval for the population mean. This can be seen from the formula for the margin of error: ME = z* (sigma/sqrt(n)), where sigma is the population standard deviation (which is proportional to the square root of the variance) and n is the sample size. If sigma increases, the margin of error and hence the confidence interval width also increase.

If the population variance is increased and other factors are the same, the width of a confidence interval for the population mean tends to increase.

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