Find the five‑number summaries for the pain and no‑pain groups. (Enter your answers rounded to two decimal places.) No‑pain group Min = No‑pain group ?1= No‑pain group Median = No‑pain group ?3= No‑pain group Max = pain group Min = pain group ?1= pain group Median = pain group ?3= pain group Max =
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Although painful experiences are induced in social rituals in many parts of the world, little is known about the social effects of pain. Will sharing painful experiences in a small group lead to greater bonding of group members than sharing a similar non‑painful experience? Fifty‑four university students in South Wales were divided at random into a pain group containing 27 students, with the remaining students in the no‑pain group.
Pain was induced by two tasks. In the first task, students submerged their hands in freezing water for as long as possible, moving metal balls at the bottom of the vessel into a submerged container; in the second task, students performed a standing wall squat with back straight and knees at 90degrees for as long as possible. The no‑pain group completed the first task using room temperature water for 90 seconds and the second task by balancing on one foot for 60seconds, changing feet if necessary.
In both the pain and no‑pain settings, the students completed the tasks in small groups, which typically consisted of four students and contained similar levels of group interaction. Afterward, each student completed a questionnaire to create a bonding score based on answers to questions such as “I feel the participants in this study have a lot in common” or “I feel I can trust the other participants.” The table contains the bonding scores of the two groups.
| No‑pain group | 3.433.43 | 4.864.86 | 1.711.71 | 1.711.71 | 3.863.86 | 3.143.14 | 4.144.14 | 3.143.14 | 4.434.43 | 3.713.71 |
|---|---|---|---|---|---|---|---|---|---|---|
| 3.003.00 | 3.143.14 | 4.144.14 | 4.294.29 | 2.432.43 | 2.712.71 | 4.434.43 | 3.433.43 | 1.291.29 | 1.291.29 | |
| 3.003.00 | 3.003.00 | 2.862.86 | 2.142.14 | 4.714.71 | 1.001.00 | 3.713.71 | ||||
| Pain group | 4.714.71 | 4.864.86 | 4.144.14 | 1.291.29 | 2.292.29 | 4.434.43 | 3.573.57 | 4.434.43 | 3.573.57 | 3.433.43 |
| 4.144.14 | 3.863.86 | 4.574.57 | 4.574.57 | 4.294.29 | 1.431.43 | 4.294.29 | 3.573.57 | 3.573.57 | 3.433.43 | |
| 2.292.29 | 4.004.00 | 4.434.43 | 4.714.71 | 4.714.71 | 2.142.14 | 3.573.57 |
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