Concept explainers
(a)
To Calculate: the difference for each subject and explain the distribution of the differences with the box plot.
(a)
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Answer to Problem 30E
Yes
Explanation of Solution
Given:
Calculation:
Finding the difference between words and colours and words in each subject
Subject | Words | colours | Difference |
1 | 13 | 20 | 7 |
2 | 10 | 21 | 11 |
3 | 15 | 22 | 7 |
4 | 12 | 25 | 13 |
5 | 13 | 17 | 4 |
6 | 11 | 13 | 2 |
7 | 14 | 32 | 18 |
8 | 16 | 21 | 5 |
9 | 10 | 16 | 6 |
10 | 9 | 13 | 4 |
11 | 11 | 11 | 0 |
12 | 17 | 26 | 9 |
13 | 15 | 20 | 5 |
14 | 15 | 15 | 0 |
15 | 12 | 18 | 6 |
16 | 10 | 18 | 8 |
Sorting the data from smallest to largest
0, 0, 2, 4, 4,5, 5, 6, 6, 7, 7, 8, 9, 11, 13, 18
The minimum is 18.
The
The first
The third quartile is
The maximum is 18.
The inter
Outliers are observations
Graph:
It is observed that 18 is greater than 15.25, therefore 18 is an outlier.
The whiskers of the box plot are at the minimum and maximum value. The box starts at the first quartile, ends at the third quartile and has a vertical line at the first quartile ends at the third quartile and has a vertical line at the median. The graph is giving the evidence of a difference in the average time need to perform the two tasks, the reason is that the most of the box plot lies to the right of 0.
(b)
To Explain: the reason of not safe to utilize paired t procedures to do inference.
(b)
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Answer to Problem 30E
Data set contains an outlier
Explanation of Solution
Given:
The three conditions paired t procedures Random, independent (10% condition), Normal/ Large sample.
Random: satisfied, the reason is that the students were assigned to the work in random order.
Independent: Satisfied, the reason is that the sample of 16 students in the AP Statistics.
Normal/ Large sample: Not satisfied, because find that there was an outlier present in the data set (see part (a)).
Although the Normal condition is not satisfied, it is inappropriate to carrying out paired t procedures.
Chapter 12 Solutions
PRACTICE OF STATISTICS F/AP EXAM
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