calculate standard error when sample size is 25, sample mean is 20, sample variance is 8, population mean is 22, population variance is 64
To calculate the standard error, we need to use the following formula:
Standard Error = Square root of (Sample Variance / Sample Size)
Given the information provided:
Sample Variance = 8
Sample Size = 25
Let's plug these values into the formula:
Standard Error = √(8 / 25)
To calculate the square root of (8 / 25), we divide the numerator by the denominator:
Standard Error = √0.32
Now, we can find the square root using a calculator or approximations:
Standard Error ≈ 0.5657
Therefore, the standard error is approximately 0.5657.