Dr. Patel wants to test whether UAB, Auburn, or Alabama differ in how well first-year students are taught basic mathematics. He recruits 100 first-year students from each university to take part in his study and administers the same algebra exam to all the students at the same time on the same day toward the end of their first year. There is a lot of overlap in high school attendance among the study participants at the three universities. Can Dr. Patel conduct a one-way ANOVA to answer his research question? Answer Options: A. Yes, it is likely all of the assumptions that need to be met to conduct an ANOVA have been satisfied. B. No, it is likely that the assumption that each of the groups are drawn from populations that have the same variance has been violated. C. No, it is likely that the assumption that all the observations are independent of each other has been violated. D. No, it is likely that the assumption that each of the groups are drawn from populations that have normal distributions has been violated.
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.
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