Question

For a population data set, $\sigma = 17.20$. a. What should the sample size be for a 98\% confidence interval for $\mu$ to have a margin of error of estimate equal to 6.80? n = b. What should the sample size be for a 95\% confidence interval for $\mu$ to have a margin of error of estimate equal to 4.76? n =

          For a population data set, \(\sigma = 17.20\).
a. What should the sample size be for a 98\% confidence interval for \(\mu\) to have a margin of error of estimate equal to 6.80?
n = 
b. What should the sample size be for a 95\% confidence interval for \(\mu\) to have a margin of error of estimate equal to 4.76?
n =

For a population data set, σ = 17.20.
a. What should the sample size be for a 98% confidence interval for μ to have a margin of error of estimate equal to 6.80?
n =
b. What should the sample size be for a 95% confidence interval for μ to have a margin of error of estimate equal to 4.76?
n =

Added by Sheryl M.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Ana Carolina Da Cruz

07/06/2023

Step 1

Step 1: The formula for the margin of error is: $$E = z_{\alpha/2} \frac{\sigma}{\sqrt{n}}$$ where: * $E$ is the margin of error * $z_{\alpha/2}$ is the critical value for the given confidence level * $\sigma$ is the population standard deviation * $n$ is the Show more…

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For a population data set, $\sigma = 17.20$. a. What should the sample size be for a 98% confidence interval for $\mu$ to have a margin of error of estimate equal to 6.80? n = b. What should the sample size be for a 95% confidence interval for $\mu$ to have a margin of error of estimate equal to 4.76? n =