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.

Q: Evaluate if x=4,8,3,-2 ∑x ∑x+1 ∑(x+1) 3∑x - 4

A: Given that  if x=4,8,3,-2

Q: what is a negative minus a positive number

A: Let's find.

Q: The number 6545 can be written as a product of a pair of positive two-digit numbers, what are these…

A: solution:-The given number =65456545=5×7×11×17the two numbers are two digit numberthenthe number…

Q: what is 27=7+x

A:

Q: 1. Simplify. (6-2)³ - (5 +5²) O-14 -32 34 5

A: The given expression        6-23-5+52

Q: Can number 9 be completed please.

A: Given a 1211220021112347451112 b 1202231110240000

Q: Can someone explain how I do numbers 1 and 2 A and B.

A: (1)  The weather report get to know about that from the past experiences. For example in the similar…

Q: Where is a22?

A: The given matrix is:We know that the inverse of a matrix exist if the matrix is non - singular.i.e.…

Q: The accuracy of a census report on a city in southern California was questioned by some government…

A: Unanswered parts:   Level of significance:   Given that the level of significance is 1%. Thus, the…

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.