Question
Using properties of determinants, show that $\left|\begin{array}{ccc}a+b & a & b \\ a & a+c & c \\ b & c & b+c\end{array}\right|=4 \mathrm{abc}$
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| X | 27 | 25 | 28 | 26 | 29 | 27 | 28 | 26 | 25 | 25 | 27 |
| Y | 21 | 20 | 20 | 21 | 23 | 22 | 20 | 20 | 19 | 19 | 23 |
| X | 26 | 29 | 25 | 27 | 26 | 25 | 28 | 25 | 27 | ||
| Y | 19 | 23 | 23 | 22 | 21 | 20 | 22 | 23 | 22 |
|
| X | Y |
| Mean | 13 | 17 |
| S. D. | 3 | 2 |
| Size | 10 | 10 |
Obtain the combined standard deviation.
CI | 30-50 | 50-70 | 70-90 | 90-110 | 110-130 | 130-150 | TOTAL |
F | 6 | ? | 18 | 20 | ? | 10 | 80 |