Answer:
The formula to calculate the margin of error in statistics is typically given as:
Margin of Error = Z * (Standard Deviation / √n)
To solve this formula for n, the sample size, we can follow these steps:
1. Begin by isolating the square root (√n) on one side of the equation:
√n = (Z * Standard Deviation) / Margin of Error
2. Next, square both sides of the equation to remove the square root:
n = [(Z * Standard Deviation) / Margin of Error]^2
So, the formula to calculate the sample size (n) is:
n = [(Z * Standard Deviation) / Margin of Error]^2
In this formula, Z represents the z-score or the desired level of confidence (often obtained from a standard normal distribution table), Standard Deviation represents the population standard deviation (if known), and the Margin of Error represents the desired margin of error for the estimate. By plugging in the appropriate values for Z, Standard Deviation, and Margin of Error, you can calculate the required sample size (n) using this formula.