Find the following working backwards from the Confidence Interval A. Working Backwards from the Confidence Interval to Find the Sample Mean Sometimes when we read statistical studies, only the confidence interval is stated; however, if the confidence interval is known, we can work backwards to find the sample mean. Suppose a sample mean was used to construct an interval of (43,46). What was the value of the sample mean? B. Working Backwards from the Confidence Interval to Find the Sample Size If researchers desire a specific margin of error, then they can use the error bound formula to calculate the required sample size. Suppose a population parameter is known to have a standard deviation of 1. If the researchers want to be 95% confident that the sample mean is within 0.1 of the true population mean, what sample size should be used? (Round to the nearest whole number.) N=

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Find the following working backwards from the Confidence Interval

**A. Working Backwards from the Confidence Interval to Find the Sample Mean**

Sometimes when we read statistical studies, only the confidence interval is stated; however, if the confidence interval is known, we can work backwards to find the sample mean. Suppose a sample mean was used to construct an interval of (43, 46). What was the value of the sample mean?

**B. Working Backwards from the Confidence Interval to Find the Sample Size**

If researchers desire a specific margin of error, then they can use the error bound formula to calculate the required sample size. Suppose a population parameter is known to have a standard deviation of 1. If the researchers want to be 95% confident that the sample mean is within 0.1 of the true population mean, what sample size should be used?
(Round to the nearest whole number.)

N =
Transcribed Image Text:Find the following working backwards from the Confidence Interval **A. Working Backwards from the Confidence Interval to Find the Sample Mean** Sometimes when we read statistical studies, only the confidence interval is stated; however, if the confidence interval is known, we can work backwards to find the sample mean. Suppose a sample mean was used to construct an interval of (43, 46). What was the value of the sample mean? **B. Working Backwards from the Confidence Interval to Find the Sample Size** If researchers desire a specific margin of error, then they can use the error bound formula to calculate the required sample size. Suppose a population parameter is known to have a standard deviation of 1. If the researchers want to be 95% confident that the sample mean is within 0.1 of the true population mean, what sample size should be used? (Round to the nearest whole number.) N =
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