You may need to use the appropriate appendix table or technology to answer this question. Find the t value(s) for each of the following cases. (Round your answers to three decimal places.) (a) upper tail area of 0.025 with 16 degrees of freedom 2.120 (b) lower tail area of 0.05 with 54 degrees of freedom -1.674 (c) upper tail area of 0.01 with 32 degrees of freedom 2.449 (d) where 90% of the area falls between these two t values with 29 degrees of freedom and botht values are the same distance from 0 smaller value larger value (e) where 95% of the area falls between these two t values with 45 degrees of freedom and both t values are the same distance from 0 smaller value larger value

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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.