The scores for the first round were as follows: 74 65 67 73 74 73 71 71 74 73 67 68 75 71 72 71 65 70 71 71 74 73 66 75 70 65 71 72 72 73 71 67 The scores for the fourth round for these players were as follows: 75 69 74 74 72 72 70 71 71 70 73 75 73 72 71 71 72 70 70 71 72 72 74 72 72 68 69 70 69 71 73 74 Compare the two distributions. Question 10 options: Scores are equal for both the rounds. Scores are lower in the fourth round. Scores are lower in the first round. none of these choices
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.
| 74 | 65 | 67 | 73 | 74 | 73 | 71 | 71 | 74 | 73 | 67 |
| 68 | 75 | 71 | 72 | 71 | 65 | 70 | 71 | 71 | 74 | 73 |
| 66 | 75 | 70 | 65 | 71 | 72 | 72 | 73 | 71 | 67 |
The scores for the fourth round for these players were as follows:
| 75 | 69 | 74 | 74 | 72 | 72 | 70 | 71 | 71 | 70 | 73 |
| 75 | 73 | 72 | 71 | 71 | 72 | 70 | 70 | 71 | 72 | 72 |
| 74 | 72 | 72 | 68 | 69 | 70 | 69 | 71 | 73 | 74 |
Compare the two distributions.
Question 10 options:
|
|
Scores are equal for both the rounds.
|
|
|
Scores are lower in the fourth round.
|
|
|
Scores are lower in the first round.
|
|
|
none of these choices
|
Given information:
The scores for the first round for the players are provided as:
| 74 | 65 | 67 | 73 | 74 | 73 | 71 | 71 | 74 | 73 | 67 |
| 68 | 75 | 71 | 72 | 71 | 65 | 70 | 71 | 71 | 74 | 73 |
| 66 | 75 | 70 | 65 | 71 | 72 | 72 | 73 | 71 | 67 |
Number of scores in the first round,
The scores for the fourth round for the players are provided as:
| 75 | 69 | 74 | 74 | 72 | 72 | 70 | 71 | 71 | 70 | 73 |
| 75 | 73 | 72 | 71 | 71 | 72 | 70 | 70 | 71 | 72 | 72 |
| 74 | 72 | 72 | 68 | 69 | 70 | 69 | 71 | 73 | 74 |
Number of scores in the fourth round,
It is required to compare the two distributions of scores.
Assumption: The two population variances are equal.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
