dent-measures study using two separate samples, each with n 9 participants. Compute the pooled variance, the estimated standard error for the mean difference, and the independent-measures 7 statistic. Using a .05, is there a significant difference between the two sets of scores? b. Now assume that the data are from a repeated- measures study using the same sample ofn=9 participants in both treatment conditions. Com- pute the variance for the sample of difference 6.
dent-measures study using two separate samples, each with n 9 participants. Compute the pooled variance, the estimated standard error for the mean difference, and the independent-measures 7 statistic. Using a .05, is there a significant difference between the two sets of scores? b. Now assume that the data are from a repeated- measures study using the same sample ofn=9 participants in both treatment conditions. Com- pute the variance for the sample of difference 6.
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![# Study on Pain Levels with Swearing vs. Neutral Words
## Overview
After a brief rest, participants in two groups switched words and repeated an ice water plunge. Each participant experienced both conditions: swearing and neutral words. The sequence was varied, with half swearing on the first plunge and half on the second. The data below represents the pain levels reported by the 9 participants.
## Data Table
| Participant | Neutral Word | Swearing |
|-------------|--------------|----------|
| A | 9 | 7 |
| B | 9 | 8 |
| C | 9 | 5 |
| D | 4 | 5 |
| E | 10 | 8 |
| F | 9 | 4 |
| G | 6 | 5 |
| H | 10 | 10 |
| I | 6 | 2 |
## Analysis Questions
### a. Independent-Measures Approach
Treat the data as if scores are from two independent samples, each with 9 participants.
- **Tasks:**
1. Compute the pooled variance.
2. Estimate the standard error for the mean difference.
3. Calculate the independent-measures t statistic.
- **Significance Test:**
- Use \(\alpha = 0.05\) to determine if there is a significant difference between the two sets of scores.
### b. Repeated-Measures Approach
Assume the data are from a repeated-measures study using the same sample of 9 participants for both conditions.
- **Tasks:**
1. Calculate the variance for the sample of difference scores.
2. Estimate the standard error for the mean difference.
3. Compute the repeated-measures t statistic.
- **Significance Test:**
- Use \(\alpha = 0.05\) to determine if there is a significant difference between the two sets of scores.
- **Additional Insight:**
- The repeated-measures design is expected to reduce variance and increase the likelihood of rejecting the null hypothesis \(H_0\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3d8d57ab-1b6f-4466-9a16-9643394343dd%2F0b4fccfe-90f3-4747-a9d5-b6cdd59fcfbc%2Fet99qjv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:# Study on Pain Levels with Swearing vs. Neutral Words
## Overview
After a brief rest, participants in two groups switched words and repeated an ice water plunge. Each participant experienced both conditions: swearing and neutral words. The sequence was varied, with half swearing on the first plunge and half on the second. The data below represents the pain levels reported by the 9 participants.
## Data Table
| Participant | Neutral Word | Swearing |
|-------------|--------------|----------|
| A | 9 | 7 |
| B | 9 | 8 |
| C | 9 | 5 |
| D | 4 | 5 |
| E | 10 | 8 |
| F | 9 | 4 |
| G | 6 | 5 |
| H | 10 | 10 |
| I | 6 | 2 |
## Analysis Questions
### a. Independent-Measures Approach
Treat the data as if scores are from two independent samples, each with 9 participants.
- **Tasks:**
1. Compute the pooled variance.
2. Estimate the standard error for the mean difference.
3. Calculate the independent-measures t statistic.
- **Significance Test:**
- Use \(\alpha = 0.05\) to determine if there is a significant difference between the two sets of scores.
### b. Repeated-Measures Approach
Assume the data are from a repeated-measures study using the same sample of 9 participants for both conditions.
- **Tasks:**
1. Calculate the variance for the sample of difference scores.
2. Estimate the standard error for the mean difference.
3. Compute the repeated-measures t statistic.
- **Significance Test:**
- Use \(\alpha = 0.05\) to determine if there is a significant difference between the two sets of scores.
- **Additional Insight:**
- The repeated-measures design is expected to reduce variance and increase the likelihood of rejecting the null hypothesis \(H_0\).
![**Swearing and Pain Tolerance Study**
Swearing is a common, almost reflexive, response to pain. Whether you knock your shin into the edge of a coffee table or smash your thumb with a hammer, most of us respond with a streak of obscenities. One question, however, is whether swearing has any effect on the amount of pain that you feel. To address this issue, Stephens, Atkins, and Kingston (2009) conducted an experiment comparing swearing with other responses to pain.
**Study Overview:**
In the study, participants were asked to place one hand in icy cold water for as long as they could bear the pain. Half of the participants were told to repeat their favorite swear word over and over for as long as their hands were in the water. The other half repeated a neutral word. The researchers recorded how long each participant was able to tolerate the ice water.
By examining the duration of time participants could endure the icy conditions while swearing versus using neutral words, the study aims to understand the potential impact of swearing on pain perception.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3d8d57ab-1b6f-4466-9a16-9643394343dd%2F0b4fccfe-90f3-4747-a9d5-b6cdd59fcfbc%2F6e5xeml_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Swearing and Pain Tolerance Study**
Swearing is a common, almost reflexive, response to pain. Whether you knock your shin into the edge of a coffee table or smash your thumb with a hammer, most of us respond with a streak of obscenities. One question, however, is whether swearing has any effect on the amount of pain that you feel. To address this issue, Stephens, Atkins, and Kingston (2009) conducted an experiment comparing swearing with other responses to pain.
**Study Overview:**
In the study, participants were asked to place one hand in icy cold water for as long as they could bear the pain. Half of the participants were told to repeat their favorite swear word over and over for as long as their hands were in the water. The other half repeated a neutral word. The researchers recorded how long each participant was able to tolerate the ice water.
By examining the duration of time participants could endure the icy conditions while swearing versus using neutral words, the study aims to understand the potential impact of swearing on pain perception.
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