8. In a study, a random sample of 36 healthy college students deprived of one night's sleep received an array of tests inteneded to measure their thinking time, flucency, and flexibility. The overal test scores of those 36 students had a mean of = 63 and a standard deviation of s 17. A random sample of 40 of students who received sleep prior to taking the test 78 with a standard deviation of s2 == 20. had a mean score of 72 (a) Compute a 95% confidelsce interval for the difference in mean test scores p 2. (b) Interpret the confidence interval in the context of the problem. Does it apprear that students depreived of sleep perform worse on the tests than those students who received sleep prior to taking the tests? Explain.
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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