Question

N = 22 with SS = 2420
-Find the estimated standard error for the sample mean

Answer 1

To find the estimated standard error for the sample mean, calculate the sample standard deviation and then divide it by the square root of the sample size.

Step-by-step explanation:

The question asks for the estimated standard error of the sample mean given a sample size (n) of 22 and a sum of squares (SS) of 2420. To calculate the standard error, we first need to determine the sample standard deviation (s). The formula for the sample standard deviation is:
s = √(SS / (n - 1)). Then, we can calculate the estimated standard error of the sample mean using the formula:
SE = s / √(n).

Following the steps:

1. Calculate the sample standard deviation:
   s = √(2420 / (22 - 1)).
2. Substitute the values and calculate s.
3. Calculate the estimated standard error:
   SE = s / √(22).
4. Substitute the value of s to find SE.

Note that we are using n-1 in the denominator because we are dealing with a sample, which is a standard procedure when calculating the sample standard deviation to correct for bias.