Margin of Error and Confidence Level

A study by the department of education in a certain state found that there was a mean SAT score of 534 with a margin of error of 20.

Create a confidence interval for the true mean.

A study by the department of education in a certain state found that there was a mean SAT score of 534 with a margin of error of 20.

Which score would fall outside the confidence interval?

A survey estimates that 45% of voters favor candidate A with a margin of error of 4%. What is the confidence interval for the proportion of voters who favor candidate A?

If the confidence interval for a population mean is (20, 40) and the margin of error is 10, what is the sample mean?

A sample of 473 American households reveal that 74% own 2 or more TVs. 

The margin of error is $$\pm\ 2\%$$ . What statement can be concluded?

A random sample of 692 adults revealed that 54% stream Netflix. If p hat = .54, what is the margin of error in this sample?

A sample size of n = 64 is drawn from a population whose standard deviation is σ = 5.6.

Find the margin of error for a 99% confidence interval for µ.

A large sample has mean of 7.1 and Standard Error of 2.3.

Construct a 90% Confidence Interval for the population mean µ (to two decimal places).

An IQ test was given to a simple random sample of 75 students at a certain college. The sample mean score was 105.2. Scores on this test are known to have a standard deviation of 10. It is desired to construct a 90% confidence interval for the mean IQ scores of the students at the college. Find the Margin of Error to two decimal places.

A population has a standard deviation of σ = 17.3. How large of a sample must be drawn so that a 95% confidence interval for µ will have a Margin of Error equal to 1.4?