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20.03.2020 •
Mathematics
Measurements of the sodium content in samples of two brands of chocolate bar yield the following results (in grams): Brand A: 34.36, 31.26, 37.36, 28.52, 33.14, 32.74, 34.34, 34.33, 30.95 Brand B: 41.08, 38.22, 39.59, 38.82, 36.24, 37.73, 35.03, 39.22, 34.13, 34.33, 34.98, 29.64, 40.60 Can you conclude that the variance of the sodium content differs between the two brands
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Ответ:
A) 2 ln 2 - 2 ln 3
Explanation
Using the laws of logarithms:
ln (x/y) = ln (x) - ln (y)
ln (4/9) = ln (4) - ln (9)
This can be written as
ln (2^2) - ln (3^2)
Another law is:
ln (n^m) = m ln(n)
So finally:
2ln (2) - 2ln 3