Final answer:
The estimated standard error for the sample mean given n = 11 and SS = 1162 is approximately 3.2509, calculated using the formula SEM = sqrt(s^2 / n) after finding the sample variance.
Step-by-step explanation:
To find the estimated standard error for the sample mean given that n = 11 with SS (Sum of Squares) = 1162, we first need to calculate the sample variance by dividing the SS by n-1:
Sample Variance (s^2) = SS / (n - 1) = 1162 / (11 - 1) = 1162 / 10 = 116.2
Next, the standard error of the mean (SEM) is the square root of the variance divided by the square root of the sample size:
SEM = sqrt(s^2 / n) = sqrt(116.2 / 11) ≈ sqrt(10.5645) ≈ 3.2509
The estimated standard error for the sample mean is approximately 3.2509.
To find the estimated standard error for the sample mean, we need to use the formula:
SE = sqrt(SS / (n-1))
Given that n = 11 and SS = 1162, we can calculate SE as follows:
SE = sqrt(1162 / (11-1))
SE = sqrt(116.2)
SE ≈ 10.77
Therefore, the estimated standard error for the sample mean is approximately 10.77.