When doing a T-Test to compare two population means with unknown population standard deviations, the formula for finding the Degrees of Freedom is pretty messy: 2 (4-4) n2 d. f. = %3D 2-1 12-1 n2 You can compute this by hand, or just do the 2-SampTTest on a calculator and select "No" after the Pooled? prompt. Consider the random sample data in this table: Pop 1 28 114 13 2. 23 105 11 Use a calculator to find the following for a left tailed test. Round all answers to three decimals. a. d. f. : b. Т: c. P - value :
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.
 alt="When doing a T-Test to compare two population means with unknown population standard deviations, the
formula for finding the Degrees of Freedom is pretty messy:
(4-4)
n2
d. f. =
n-1
12 -1
You can compute this by hand, or just do the 2-SampTTest on a calculator and select "No" after the Pooled?
prompt.
Consider the random sample data in this table:
Pop
28
114
13
2.
23
105
11
Use a calculator to find the following for a left tailed test. Round all answers to three decimals.
a. d. f. :
b. Т:
c. P - value :
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