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√0.1 is irrational.

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Q: Is the square root of 0.1 is rational or irrational?
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Infinitely many. 1 + 1 + 1 + 19 .1 + .1 + .1 + 21.7 .01 + .01 +.01 + 21.97 And so on. And all these are with three of the numbers being the same. There are also combinations where some numbers are irrational -infinite, non recurring decimals. Then there are combinations with some of the numbers being negative.


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No. :) Having zeroes before a RATIONAL number doesn't mean anything. Ex: 01,02,03,04,05... But having zeroes afterwards are significant and will change the number's value. Ex: 1-10-100-1,000... In the case of an IRRATIONAL number, adding zeroes AFTER doesn't change it's value. Ex: 0.1, 0.10, 0.100... But, adding zeroes before the number (but after the decimal point) will change it's value. Ex: 0.1, 0.01, 0.001, 0.0001... Hope I helped. :)


Why is a chi-square test for independence always right-tailed?

I will rephrase your question:: Is the chi-square positively or negatively skewed? It has to be positively skewed, as the mean > median > mode, and skewness is positive. The degrees of freedom, k, must be greater than zero, therefore: skewness = square root of 8/k, is also positive. Mean of the distribution is k, median is k- 2/3 and mode is k-2 for k > 2, therefore in all cases the mean > median > mode condition holds. You may like to view the following link for additioal info: http://www.scaweb.org/assets/papers/2004_papers/SCA2004-01.pdf

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