if the population standard deviation were 10 instead of 5, what effect would this new standard deviation have on margin of error?

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15-11-2022
Mathematics

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if the population standard deviation were 10 instead of 5, what effect would this new standard deviation have on margin of error?

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NGireesh NGireesh · Answer 1 · 2022-11-19T01:48:32-05:00

If the population standard deviation were 10 instead of 5,Margin of error would rise as a result. A broader width of the confidence interval and a larger margin of error would be the outcomes of a higher standard deviation.

Define margin of error.

The margin of error (MOE) for a survey indicates how closely the survey results should be compared to the actual population value. For instance, a poll with a 3% margin of error shows that 72% of respondents prefer Brand A over Brand B.

Given,

If the population standard deviation were 10 instead of 5,

Margin of error would rise as a result. A broader width of the confidence interval and a larger margin of error would be the outcomes of a higher standard deviation. The margin of error diminishes as sample size grows, to be precise. The margin of error rises as population variability does as well. The margin of error grows as the confidence level does.

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