What is the relationship between the sample size and the margin of error, assuming all other factors remain constant?

In a quality control study, the estimated mean thickness of a material is 2.5 mm with a margin of error of ±0.1 mm at a 99% confidence level. What is the confidence interval for the mean thickness?

If a survey estimates a population proportion with a margin of error of ±3% at a 95% confidence level, how would the margin of error change if the sample size is doubled?

A survey estimates the mean annual income of a city's residents as $50,000 with a margin of error of ±$2,000 at a 90% confidence level. What is the confidence interval for the mean income?

Suppose you want to estimate the mean income of a population. You collect a random sample of 500 individuals and find that the sample mean income is $50,000, with a sample standard deviation of $10,000. Calculate the margin of error for a 95% confidence level.

A survey estimates the proportion of residents in a town with a margin of error of ±0.04 at a 95% confidence level. If the estimated proportion is 0.50, what is the confidence interval for the proportion?

In a survey to estimate the mean height of a population, a random sample of 200 individuals is taken. If the margin of error is ±1 inch, what is the formula for calculating the margin of error?

A survey estimates the proportion of residents in a town with a margin of error of ±0.09 at a 75% confidence level. If the estimated proportion is 0.60, what is the confidence interval for the proportion?

In a political poll, the estimated proportion of voters supporting a candidate is 0.60 with a margin of error of ±0.03 at a 95% confidence level. What is the confidence interval for the proportion of supporters?

What does a smaller margin of error indicate about an estimate?