A) Testing two machines, we want to test if the variance of the two machines is the same. The following two samples are obtained n1= 10, s1^2=35.12 and n2=8, s2^2%3D28.97 • Find the FO statistic • Test the corresponding hypothesis (reject or fail to reject) • Construct a 95% CI_ <=sigma1^2/sigma2^2<=
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
I am only able to do certain parts but please if you can explain all step I would greatly thank you
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