SAT scores are known to follow a normal distribution with a standard deviation of 100 points. Test the claim that the population mean SAT score at ACME High School is different than at ACE High School. A random sample of 33 ACME students yields ãi = 982 and a random sample of 33 ACE yields 2 = 972. Use a = 0.10, and let ACME be Population 1. 1. The sample size requirement for this test is: O Sample sizes must both be at least thirty since this is a T-test O Sample sizes must both be at least thirty since this is a Z-test ON/A since the populations are normally distributed ON/A since this is a Z-test The bypotbeses are:

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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.