A random sample of 16 residents of Mecklenburg county had a mean annual income of $60,000 and a standard deviation of $8000. Assume the annual income of residents of Mecklenburg county is normally distributed, the hypotheses to be tested are Ho: µ describes the rejection region for this test? $55,000 versus Ha: µ = $55,000 at the 10% level of significance. Which one of the following greater than 1.753 or less than -1.753 greater than 1.746 or less than -1.746 greater than 1.341 or less than -1.341 greater than 1.337 or less than -1.337 greater than 1.645

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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.