Small sample margin
| A | B | C | |
|---|---|---|---|
| 1 | Alpha | SD | n |
| 2 | 0.05 | 2 | 10 |
Formula: E2: =ROUND(CONFIDENCE.T(A2,B2,C2),4)
Result: 1.4307
Nine degrees of freedom produce a t-based half-width of 1.4307.
CONFIDENCE.T with worked examples you can test in the live grid. The argument details are in the Excel guide.
The arguments and common errors are covered in the CONFIDENCE.T Excel guide; check the function help in Google Sheets for its own argument list.
| A | B | C | |
|---|---|---|---|
| 1 | Alpha | SD | n |
| 2 | 0.05 | 2 | 10 |
Formula: E2: =ROUND(CONFIDENCE.T(A2,B2,C2),4)
Result: 1.4307
Nine degrees of freedom produce a t-based half-width of 1.4307.
| A | B | C | |
|---|---|---|---|
| 1 | Alpha | SD | n |
| 2 | 0.05 | 2 | 40 |
Formula: E2: =ROUND(CONFIDENCE.T(A2,B2,C2),4)
Result: 0.6396
More observations reduce the standard error and critical value.
| A | B | C | |
|---|---|---|---|
| 1 | Alpha | SD | n |
| 2 | 0.1 | 2 | 10 |
Formula: E2: =ROUND(CONFIDENCE.T(A2,B2,C2),4)
Result: 1.1594
A narrower ninety-percent interval has a smaller half-width.
A tiny spreadsheet with example data. Edit the formula or any number and see the result.
Formula in F2: =CONFIDENCE.T(0.05,STDEV.S(C2:C7),COUNT(C2:C7))
| A | B | C | D | E | F | |
|---|---|---|---|---|---|---|
| 1 | Region | Product | Units | Price | Result | |
| 2 | East | Pen | 120 | 2.5 | 39.6384867462 | |
| 3 | West | Pen | 80 | 2.5 | ||
| 4 | East | Book | 45 | 12 | ||
| 5 | North | Book | 60 | 12 | ||
| 6 | West | Lamp | 30 | 25 | ||
| 7 | East | Lamp | 15 | 25 |
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Enter — commit · F2 — edit · F4 — $ in a reference · Ctrl+C/Ctrl+V — copy and paste · Ctrl+Z — undo
Esc or F6 — leave the sheet for the «Check» button · Shift+Tab in the first cell — back to the page