Color or text? In an experiment, 32 volunteer subjects are briefly shown seven cards, each displaying the name of a color printed in a different color (example: red, blue, and so on). The subject is asked to perform one of two tasks: memorize the order of the words or memorize the order of the colors. Researchers record the number of cards remembered correctly. Then the cards are shuffled and the subject is asked to perform the other task. The table displays the results for each subject. Is there any evidence that either the color or the written word dominates perception? a) What role does randomization play in this experiment? b) Test appropriate hypotheses and state your conclusion
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.
Please solve this
Color or text? In an experiment, 32 volunteer subjects
are briefly shown seven cards, each displaying the name
of a color printed in a different color (example: red, blue,
and so on). The subject is asked to perform one of two
tasks: memorize the order of the words or memorize the
order of the colors. Researchers record the number of
cards remembered correctly. Then the cards are shuffled
and the subject is asked to perform the other task. The
table displays the results for each subject. Is there any
evidence that either the color or the written word dominates perception?
a) What role does randomization play in this
experiment?
b) Test appropriate hypotheses and state your
conclusion
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