You wish to test the following claim (H) at a significance level of a =0.02. H,: = 69.6 Ha: < 69.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 111 with mean M 66.7 and a standard deviation of SD = 14.8. %3D What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic= What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value s...

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A: Pythagoras TheoremIf sides represent the right triangle then it follows the pythagoras theorem.

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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.