Dataset: 13, 7, 6, 12, 0, 4

Provide the following: ΣX, M, s2, s, sM, t

By hand: show your work and upload a picture (non-Mac files, please)
In SPSS: conduct a one-sample t-test -- no need to use hypothesis testing steps for this activity
Lastly: upload screenshots of your work by hand, your data view, and output files -- no annotation needed

Let's start with the calculation part for the dataset \[13, 7, 6, 12, 0, 4\].

### 1. ΣX (Sum of the dataset)
We calculate the sum of all data points.
\[
ΣX = 13 + 7 + 6 + 12 + 0 + 4 = 42
\]

### 2. M (Mean of the dataset)
The mean \(M\) is the sum divided by the number of data points \(N = 6\).
\[
M = \frac{ΣX}{N} = \frac{42}{6} = 7
\]

### 3. \(s^2\) (Variance)
Variance is calculated as the sum of the squared deviations from the mean, divided by \(N-1\).

1. Find the deviations from the mean:  
\[
(13-7) = 6, \quad (7-7) = 0, \quad (6-7) = -1, \quad (12-7) = 5, \quad (0-7) = -7, \quad (4-7) = -3
\]

2. Square

Dataset: 13, 7, 6, 12, 0, 4
Provide the following: ΣX, M, s2, s, sM, t
By hand: show your work and upload a picture (non-Mac files, please)
In SPSS: conduct a one-sample t-test -- no need to use hypothesis testing steps for this activity
Lastly: upload screenshots of your work by hand, your data view, and output files -- no annotation needed

Learn how to perform a one-sample t-test for the dataset [13, 7, 6, 12, 0, 4], including detailed steps for calculating ΣX (sum), M (mean), variance (s²), standard deviation (s), standard error of the mean (sM), and the t-statistic. Suitable for undergraduate students in statistics or mathematics.

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